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Calderbank, Arthur Robert

Author ID: calderbank.robert Recent zbMATH articles by "Calderbank, Arthur Robert"
Published as: Calderbank, A. R.; Calderbank, Robert; Calderbank, A. Robert; Calderbank, R.
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Co-Authors

20 single-authored
15 Sloane, Neil James Alexander
9 Rodrigues, Miguel R. D.
8 Fishburn, Peter Clingerman
7 Diggavi, Suhas N.
7 Howard, Stephen D.
6 Hareedy, Ahmed H.
6 Kumar, P. Vijay
6 Kutyniok, Gitta
5 Al-Dhahir, Naofal
5 Bajwa, Waheed Uz Zaman
5 Carin, Lawrence
5 McGuire, Gary
5 Rabinovich, Asya
5 Renna, Francesco
5 Seshadri, Nambi
5 Tarokh, Vahid
4 Boche, Holger
4 Coffman, Edward Grady jun.
4 Hammons, A. Roger jun.
4 Hanlon, Phil
4 Pezeshki, Ali
4 Shor, Peter Williston
4 Solé, Patrick
3 Aggarwal, Vaneet
3 Bennatan, Amir
3 Chi, Yuejie
3 Daubechies, Ingrid
3 Delsarte, Philippe
3 Flatto, Leopold
3 Forney, G. David jun.
3 Helleseth, Tor
3 Jafarpour, Sina
3 Moran, William
3 Naguib, Ayman
3 Rains, Eric M.
3 Rengaswamy, Narayanan
3 Wales, David B.
3 Wang, Liming
2 Blokhuis, Aart
2 Caire, Giuseppe
2 Costello, Daniel J. jun.
2 Dabak, Beyza
2 Dolecek, Lara
2 Dusad, Sanket
2 Frankl, Péter
2 Goethals, Jean-Marie
2 Goparaju, Sreechakra
2 Harms, Andrew
2 Huang, Jiaji
2 Jafarkhani, Hamid
2 Kantor, William M.
2 Lévy, Yannick
2 Li, Wen-Ch’ing Winnie
2 Mathar, Rudolf
2 Mazo, James E.
2 Mixon, Dustin G.
2 Morton, Patrick
2 Nokleby, Matthew
2 Poonen, Bjorn
2 Pottie, Gregory J.
2 Qiu, Qiang
2 Sirianunpiboon, Songsri
2 Tamo, Itzhak (Zachi)
2 Vahid, Alireza
2 Vardy, Alexander
2 Vybíral, Jan
2 Wu, Yiyue
2 Yang, Siyi
2 Yuan, Xin
1 Applebaum, Lorne
1 Ashikhmin, Alexei E.
1 Baker, Brenda S.
1 Barg, Alexander M.
1 Beirami, Ahmad
1 Best, Mark R.
1 Betts, W.
1 Bonnecaze, Alexis
1 Brady, David J.
1 Bremner, Andrew
1 Brouwer, Andries Evert
1 Burnashev, Marat V.
1 Cameron, Peter Jephson
1 Can, Trung
1 Carlson, David Edwin
1 Carson, William R.
1 Casazza, Peter George
1 Cevher, Volkan
1 Chen, Minhua
1 Chiang, Mung
1 Christiansen, Mark M.
1 Chung, Fan
1 Cochran, Douglas
1 Das, Sushanta
1 Davis, Linda M.
1 Dihidar, Souvik
1 Duarte, Marco F.
1 Duel-Hallen, Alexandra
1 Duffy, Ken R.
1 Eldar, Yonina Chana
1 Fan, John L.
...and 75 more Co-Authors
all top 5

Serials

72 IEEE Transactions on Information Theory
11 IEEE Transactions on Signal Processing
6 Journal of Combinatorial Theory. Series A
5 Designs, Codes and Cryptography
5 Applied and Computational Harmonic Analysis
3 Discrete Mathematics
3 IEEE Transactions on Communications
3 European Journal of Combinatorics
3 Journal of Algebraic Combinatorics
3 Applied and Numerical Harmonic Analysis
2 Proceedings of the London Mathematical Society. Third Series
2 Transactions of the American Mathematical Society
2 SIAM Journal on Algebraic and Discrete Methods
2 SIAM Journal on Discrete Mathematics
2 Linear Algebra and its Applications
2 SIAM Journal on Imaging Sciences
1 Philips Journal of Research
1 The Mathematical Intelligencer
1 Bulletin of the London Mathematical Society
1 Journal of Algebra
1 Journal of the Association for Computing Machinery
1 Journal of the London Mathematical Society. Second Series
1 Journal of Number Theory
1 Mathematics of Operations Research
1 Communications in Statistics. Stochastic Models
1 Graphs and Combinatorics
1 Bulletin of the American Mathematical Society. New Series
1 AT& T Bell Laboratories Technical Journal
1 Combinatorics, Probability and Computing
1 Advances in Computational Mathematics
1 Physical Review Letters
1 EURASIP Journal on Applied Signal Processing
1 Communications in Information and Systems
1 Quantum Information Processing
1 Computer Networks
1 DIMACS. Series in Discrete Mathematics and Theoretical Computer Science
1 Proceedings of Symposia in Applied Mathematics
1 Physical Review A, Third Series
1 International Journal of Information and Coding Theory
1 Information and Inference

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 2,918 times in 2,286 Documents Cited by Year
The \(\mathbb Z_4\)-linearity of Kerdock, Preparata, Goethals, and related codes. Zbl 0811.94039
Hammons, A. Roger jun.; Kumar, P. Vijay; Calderbank, A. R.; Sloane, N. J. A.; Solé, Patrick
543
1994
Quantum error correction via codes over \(\mathrm{GF}(4)\). Zbl 0982.94029
Calderbank, A. Robert; Rains, Eric M.; Shor, P. W.; Sloane, Neil J. A.
528
1998
The geometry of two-weight codes. Zbl 0582.94019
Calderbank, R.; Kantor, W. M.
309
1986
Modular and \(p\)-adic cyclic codes. Zbl 0848.94020
Calderbank, A. R.; Sloane, N. J. A.
130
1995
Quantum error correction and orthogonal geometry. Zbl 1005.94541
Calderbank, A. R.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A.
127
1997
Good quantum error-correcting codes exist. Zbl 07918813
Calderbank, A. R.; Shor, Peter W.
108
1996
Three-weight codes and association schemes. Zbl 0546.94016
Calderbank, A. R.; Goethals, J.-M.
103
1984
\(\mathbb{Z}_4\)-Kerdock codes, orthogonal spreads, and extremal Euclidean line-sets. Zbl 0916.94014
Calderbank, A. R.; Cameron, P. J.; Kantor, W. M.; Seidel, J. J.
101
1997
Space-time codes for high data rate wireless communication: Performance criterion and code construction. Zbl 0910.94013
Tarokh, Vahid; Seshadri, Nambi; Calderbank, A. R.
56
1998
Quaternary quadratic residue codes and unimodular lattices. Zbl 0822.94009
Bonnecaze, Alexis; Solé, Patrick; Calderbank, A. R.
55
1995
Space-time block codes from orthogonal designs. Zbl 0965.94004
Tarokh, Vahid; Jafarkhani, Hamid; Calderbank, A. R.
53
1999
A linear construction for certain Kerdock and Preparata codes. Zbl 0783.94026
Calderbank, A. R.; Hammons, A. R. jun.; Kumar, P. Vijay; Sloane, N. J. A.; Solé, Patrick
48
1993
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao
45
2009
Sensitivity to basis mismatch in compressed sensing. Zbl 1392.94144
Chi, Yuejie; Scharf, Louis L.; Pezeshki, Ali; Calderbank, A. Robert
43
2011
Wavelet transforms that map integers to integers. Zbl 0941.42017
Calderbank, A. R.; Daubechies, Ingrid; Sweldens, Wim; Yeo, Boon-Lock
34
1998
An upper bound for Weil exponential sums over Galois rings and applications. Zbl 0853.11098
Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R.
29
1995
Sparse fusion frames: existence and construction. Zbl 1264.94042
Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali
28
2011
Partitions into even and odd block size and some unusual characters of the symmetric groups. Zbl 0602.20017
Calderbank, A. R.; Hanlon, P.; Robinson, R. W.
24
1986
A group-theoretic framework for the construction of packings in Grassmannian spaces. Zbl 0941.51033
Calderbank, A. R.; Hardin, R. H.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A.
24
1999
The finite Heisenberg-Weyl groups in radar and communications. Zbl 1122.94015
Howard, S. D.; Calderbank, A. R.; Moran, W.
23
2006
Two are better than one: fundamental parameters of frame coherence. Zbl 1246.42026
Bajwa, Waheed U.; Calderbank, Robert; Mixon, Dustin G.
22
2012
Large families of quaternary sequences with low correlation. Zbl 0943.94512
Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R.; Hammons, A. Roger
20
1996
Chirp sensing codes: Deterministic compressed sensing measurements for fast recovery. Zbl 1156.94305
Applebaum, Lorne; Howard, Stephen D.; Searle, Stephen; Calderbank, Robert
20
2009
A global code invariant under the Higman-Sims group. Zbl 0492.20011
Calderbank, A. R.; Wales, David B.
18
1982
Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices. Zbl 0881.94026
Calderbank, A. R.; Sloane, N. J. A.
18
1997
On uniformly packed \([n,n-k,4]\) codes over \(\mathrm{GF}(q)\) and a class of caps in \(\mathrm{PG}(k-1,q)\). Zbl 0545.94014
Calderbank, Robert
17
1982
Increasing sequences with nonzero block sums and increasing paths in edge-ordered graphs. Zbl 0542.05058
Calderbank, A. R.; Chung, F. R. K.; Sturtevant, D. G.
15
1984
The application of invariant theory to the existence of quasi-symmetric designs. Zbl 0653.05011
Calderbank, A. R.
14
1987
Geometric invariants for quasi-symmetric designs. Zbl 0662.05008
Calderbank, A. R.
14
1988
Doppler resilient Golay complementary waveforms. Zbl 1327.94090
Pezeshki, Ali; Calderbank, A. Robert; Moran, William; Howard, Stephen D.
13
2008
A survey of compressed sensing. Zbl 1333.94015
Boche, Holger; Calderbank, Robert; Kutyniok, Gitta; Vybíral, Jan
13
2015
On a conjecture of Helleseth regarding pairs of binary \(m\)-sequences. Zbl 0943.94513
Calderbank, A. R.; McGuire, Gary; Poonen, Bjorn; Rubinstein, Michael
12
1996
On a pair of dual subschemes of the Hamming scheme \(H_ n(q)\). Zbl 0579.05021
Calderbank, A. R.; Goethals, J.-M.
11
1985
Inequalities for quasisymmetric designs. Zbl 0662.05007
Calderbank, A. R.
11
1988
The pros and cons of democracy. Zbl 1061.94014
Calderbank, A. R.; Daubechies, I.
11
2002
Efficient and robust compressed sensing using optimized expander graphs. Zbl 1367.94095
Jafarpour, Sina; Xu, Weiyu; Hassibi, Babak; Calderbank, Robert
11
2009
The Sperner capacity of linear and nonlinear codes for the cyclic triangle. Zbl 0778.94004
Calderbank, A. R.; Frankl, P.; Graham, R. L.; Li, W.-C. W.; Shepp, L. A.
10
1993
Sequencing problems in two-server systems. Zbl 0593.90033
Calderbank, A. R.; Coffman, E. G. jun.; Flatto, L.
10
1985
Cyclic LRC codes, binary LRC codes, and upper bounds on the distance of cyclic codes. Zbl 1410.94121
Tamo, Itzhak; Barg, Alexander; Goparaju, Sreechakra; Calderbank, Robert
10
2016
Quasi-symmetric 3-designs and elliptic curves. Zbl 0742.05013
Calderbank, A. R.; Morton, Patrick
9
1990
Quasi-symmetric designs and the Smith normal form. Zbl 0766.05008
Blokhuis, A.; Calderbank, A. R.
9
1992
Proof of a conjecture of Sarwate and Pursley regarding pairs of binary \(m\)-sequences. Zbl 0830.94010
McGuire, Gary; Calderbank, A. R.
9
1995
A strengthening of the Assmus-Mattson theorem. Zbl 0734.94018
Calderbank, A. R.; Delsarte, P.; Sloane, N. J. A.
8
1991
Approximation algorithms for maximizing the number of squares packed into a rectangle. Zbl 0558.05002
Baker, B. S.; Calderbank, A. R.; Coffman, E. G. jun.; Lagarias, J. C.
8
1983
Extending the \(t\)-design concept. Zbl 0783.05028
Calderbank, A. R.; Delsarte, P.
7
1993
Two-weight ternary codes and the equation \(y^2=4 \times 3^\alpha+13\). Zbl 0517.94012
Bremner, A.; Calderbank, R.; Hanlon, P.; Morton, P.; Wolfskill, J.
7
1983
Maximal three-independent subsets of \(\{0,1,2\}^ n\). Zbl 0803.51016
Calderbank, A. R.; Fishburn, P. C.
7
1994
Applications of LDPC codes to the wiretap channel. Zbl 1326.94131
Thangaraj, Andrew; Dihidar, Souvik; Calderbank, A. Robert; Mclaughlin, Steven W.; Merolla, Jean-Marc
7
2007
Volume thresholds for quantum fault tolerance. Zbl 1200.81022
Aggarwal, Vaneet; Calderbank, A. Robert; Gilbert, Gerald; Weinstein, Yaakov S.
6
2010
Communications-inspired projection design with application to compressive sensing. Zbl 1260.94010
Carson, William R.; Chen, Minhua; Rodrigues, Miguel R. D.; Calderbank, Robert; Carin, Lawrence
6
2012
Optimum head separation in a disk system with two read/write heads. Zbl 0629.68030
Calderbank, A. R.; Coffman, E. G. jun.; Flatto, L.
6
1984
Representations of the symmetric group in deformations of the free Lie algebra. Zbl 0789.17004
Calderbank, A. R.; Hanlon, P.; Sundaram, S.
6
1994
A 2-adic approach to the analysis of cyclic codes. Zbl 0898.94011
Calderbank, A. R.; Li, Wen-Ching Winnie; Poonen, Bjorn
6
1997
On block coherence of frames. Zbl 1302.65097
Calderbank, Robert; Thompson, Andrew; Xie, Yao
6
2015
Grassmannian packings from operator Reed-Muller codes. Zbl 1366.94574
Ashikhmin, Alexei; Calderbank, A. Robert
6
2010
An improved sub-packetization bound for minimum storage regenerating codes. Zbl 1360.94374
Goparaju, Sreechakra; Tamo, Itzhak; Calderbank, Robert
6
2014
Space-time codes for high data rate wireless communication: Performance criteria in the presence of channel estimation errors, mobility, and multiple paths. Zbl 0984.94500
Tarokh, Vahid; Naguib, Ayman; Seshadri, Nambi; Calderbank, A. R.
5
1999
New trellis codes based on lattices and cosets. Zbl 0638.94018
Calderbank, A. R.; Sloane, N. J. A.
5
1987
Boolean functions, projection operators, and quantum error correcting codes. Zbl 1214.81064
Aggarwal, Vaneet; Calderbank, A. Robert
5
2008
Minimal tail-biting trellises: the Golay code and more. Zbl 0965.94024
Calderbank, A. R.; Forney, G. David jun.; Vardy, Alexander
5
1999
Bounds on the number of measurements for reliable compressive classification. Zbl 1414.94508
Reboredo, Hugo; Renna, Francesco; Calderbank, Robert; Rodrigues, Miguel R. D.
5
2016
Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013. Zbl 1320.94007
4
2015
Cyclic codes over \(\mathbb{Z}_ 4\), locator polynomials, and Newton’s identities. Zbl 0858.94021
Calderbank, A. R.; McGuire, Gary; Kumar, P. Vijay; Helleseth, Tor
4
1996
Symmetric designs as the solution of an extremal problem in combinatorial set theory. Zbl 0654.05007
Calderbank, A. R.
4
1988
On error-correcting codes and invariant linear forms. Zbl 0768.94020
Calderbank, A. R.; Delsarte, P.
4
1993
A simple signal processing architecture for instantaneous radar polarimetry. Zbl 1205.94035
Howard, Stephen D.; Calderbank, A. Robert; Moran, William
4
2007
Sequencing two servers on a sphere. Zbl 0554.60092
Calderbank, A. R.; Coffman, E. G. jun.; Flatto, L.
3
1985
An Erdős-Ko-Rado theorem for regular intersecting families of octads. Zbl 0616.05010
Brouwer, A. E.; Calderbank, A. R.
3
1986
Multilevel codes for unequal error protection. Zbl 0801.94019
Calderbank, A. R.; Seshadri, N.
3
1993
Construction of a \((64,2^{37},12)\) code via Galois rings. Zbl 0868.94042
Calderbank, A. R.; McGuire, Gary
3
1997
Reed-Muller sensing matrices and the LASSO (invited paper). Zbl 1257.94011
Calderbank, Robert; Jafarpour, Sina
3
2010
Compressed sensing and its applications. Selected papers of the third international MATHEON conference, TU Berlin, Berlin, Germany, December 4–8, 2017. Zbl 1427.94002
3
2019
Discrimination on the Grassmann manifold: fundamental limits of subspace classifiers. Zbl 1359.94146
Nokleby, Matthew; Rodrigues, Miguel; Calderbank, Robert
3
2015
Performance bounds for expander-based compressed sensing in Poisson noise. Zbl 1392.94416
Raginsky, Maxim; Jafarpour, Sina; Harmany, Zachary T.; Marcia, Roummel F.; Willett, Rebecca M.; Calderbank, Robert
3
2011
Covering bounds for codes. Zbl 0744.94026
Calderbank, A. R.
2
1992
Multiplying vectors in binary quadratic residue codes. Zbl 0504.94029
Calderbank, Robert; Wales, David B.
2
1982
A square root bound on the minimum weight in quasi-cyclic codes. Zbl 0519.94009
Calderbank, Robert
2
1983
Multilevel codes and multistage decoding. Zbl 0667.94010
Calderbank, A. R.
2
1989
\(\mathbb{Z}_ 4\)-linear codes obtained as projections of Kerdock and Delsarte-Goethals codes. Zbl 0867.94028
Calderbank, A. R.; McGuire, Gary
2
1995
Covering properties of convolutional codes and associated lattices. Zbl 0834.94017
Calderbank, A. R.; Fishburn, Peter C.; Rabinovich, Asya
2
1995
The art of signaling: fifty years of coding theory. Zbl 0953.94001
Calderbank, A. R.
2
1998
Binary convolutional codes with application to magnetic recording. Zbl 0611.94004
Calderbank, A. R.; Heegard, Chris; Lee, Ting-Ann
2
1986
Nonexistence of a uniformly packed [70,58,5] code. Zbl 0611.94012
Calderbank, A. R.
2
1986
PETRELS: parallel subspace estimation and tracking by recursive least squares from partial observations. Zbl 1394.94127
Chi, Yuejie; Eldar, Yonina C.; Calderbank, Robert
2
2013
Reconstruction of signals drawn from a Gaussian mixture via noisy compressive measurements. Zbl 1394.94482
Renna, Francesco; Calderbank, Robert; Carin, Lawrence; Rodrigues, Miguel R. D.
2
2014
Conditioning of random block subdictionaries with applications to block-sparse recovery and regression. Zbl 1359.94059
Bajwa, Waheed U.; Duarte, Marco F.; Calderbank, Robert
2
2015
A Bregman matrix and the gradient of mutual information for vector Poisson and Gaussian channels. Zbl 1360.94174
Wang, Liming; Carlson, David Edwin; Rodrigues, Miguel R. D.; Calderbank, Robert; Carin, Lawrence
2
2014
The role of principal angles in subspace classification. Zbl 1414.94250
Huang, Jiaji; Qiu, Qiang; Calderbank, Robert
2
2016
Improved range-summable random variable construction algorithms. Zbl 1297.68062
Calderbank, A. R.; Gilbert, A.; Levchenko, K.; Muthukrishnan, S.; Strauss, M.
2
2005
The mathematics of modems. Zbl 0729.94504
Calderbank, A. R.
1
1991
Covering radius and the chromatic number of Kneser graphs. Zbl 0729.05017
Calderbank, A. R.
1
1990
Upper bounds for small trellis codes. Zbl 0775.94106
Calderbank, A. R.; Pottie, G. J.
1
1992
The Haemers partial geometry and the Steiner system S(5,8,24). Zbl 0548.05016
Calderbank, Robert; Wales, David B.
1
1984
Covering machines. Zbl 0754.94006
Calderbank, A. R.
1
1992
Four-dimensional modulation with an eight-state trellis code. Zbl 0587.94007
Calderbank, A. R.; Sloane, N. J. A.
1
1985
The extension to root systems of a theorem on tournaments. Zbl 0595.05038
Calderbank, A. R.; Hanlon, Phil
1
1986
Orthogonal designs and third generation wireless communication. Zbl 1029.94001
Calderbank, A. R.; Naguib, A. F.
1
2001
Different aspects of coding theory. American Mathematical Society short course, January 2-3, 1995, San Francisco, CA, USA. Proceedings. Zbl 0830.00053
1
1995
Improved upper bounds concerning the Erdős-Ko-Rado theorem. Zbl 0793.05136
Calderbank, A. R.; Frankl, P.
1
1992
The normalized second moment of the binary lattice determined by a convolutional code. Zbl 0803.94020
Calderbank, A. R.; Fishburn, P. C.
1
1994
Mitigating coherent noise by balancing weight-2 \(Z\)-stabilizers. Zbl 1495.81037
Hu, Jingzhen; Liang, Qingzhong; Rengaswamy, Narayanan; Calderbank, Robert
1
2022
Kerdock codes determine unitary 2-designs. Zbl 1452.94122
Can, Trung; Rengaswamy, Narayanan; Calderbank, Robert; Pfister, Henry D.
1
2020
LOCO codes: lexicographically-ordered constrained codes. Zbl 1448.94138
Hareedy, Ahmed; Calderbank, Robert
1
2020
Compressed sensing and its applications. Selected papers of the third international MATHEON conference, TU Berlin, Berlin, Germany, December 4–8, 2017. Zbl 1427.94002
3
2019
Compressed sensing and its applications. Second international MATHEON conference, December 2015. Zbl 1388.94005
1
2017
Cyclic LRC codes, binary LRC codes, and upper bounds on the distance of cyclic codes. Zbl 1410.94121
Tamo, Itzhak; Barg, Alexander; Goparaju, Sreechakra; Calderbank, Robert
10
2016
Bounds on the number of measurements for reliable compressive classification. Zbl 1414.94508
Reboredo, Hugo; Renna, Francesco; Calderbank, Robert; Rodrigues, Miguel R. D.
5
2016
The role of principal angles in subspace classification. Zbl 1414.94250
Huang, Jiaji; Qiu, Qiang; Calderbank, Robert
2
2016
A survey of compressed sensing. Zbl 1333.94015
Boche, Holger; Calderbank, Robert; Kutyniok, Gitta; Vybíral, Jan
13
2015
On block coherence of frames. Zbl 1302.65097
Calderbank, Robert; Thompson, Andrew; Xie, Yao
6
2015
Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013. Zbl 1320.94007
4
2015
Discrimination on the Grassmann manifold: fundamental limits of subspace classifiers. Zbl 1359.94146
Nokleby, Matthew; Rodrigues, Miguel; Calderbank, Robert
3
2015
Conditioning of random block subdictionaries with applications to block-sparse recovery and regression. Zbl 1359.94059
Bajwa, Waheed U.; Duarte, Marco F.; Calderbank, Robert
2
2015
Identification of linear time-varying systems through waveform diversity. Zbl 1394.94220
Harms, Andrew; Bajwa, Waheed U.; Calderbank, Robert
1
2015
An improved sub-packetization bound for minimum storage regenerating codes. Zbl 1360.94374
Goparaju, Sreechakra; Tamo, Itzhak; Calderbank, Robert
6
2014
Reconstruction of signals drawn from a Gaussian mixture via noisy compressive measurements. Zbl 1394.94482
Renna, Francesco; Calderbank, Robert; Carin, Lawrence; Rodrigues, Miguel R. D.
2
2014
A Bregman matrix and the gradient of mutual information for vector Poisson and Gaussian channels. Zbl 1360.94174
Wang, Liming; Carlson, David Edwin; Rodrigues, Miguel R. D.; Calderbank, Robert; Carin, Lawrence
2
2014
PETRELS: parallel subspace estimation and tracking by recursive least squares from partial observations. Zbl 1394.94127
Chi, Yuejie; Eldar, Yonina C.; Calderbank, Robert
2
2013
Two are better than one: fundamental parameters of frame coherence. Zbl 1246.42026
Bajwa, Waheed U.; Calderbank, Robert; Mixon, Dustin G.
22
2012
Communications-inspired projection design with application to compressive sensing. Zbl 1260.94010
Carson, William R.; Chen, Minhua; Rodrigues, Miguel R. D.; Calderbank, Robert; Carin, Lawrence
6
2012
Sensitivity to basis mismatch in compressed sensing. Zbl 1392.94144
Chi, Yuejie; Scharf, Louis L.; Pezeshki, Ali; Calderbank, A. Robert
43
2011
Sparse fusion frames: existence and construction. Zbl 1264.94042
Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali
28
2011
Performance bounds for expander-based compressed sensing in Poisson noise. Zbl 1392.94416
Raginsky, Maxim; Jafarpour, Sina; Harmany, Zachary T.; Marcia, Roummel F.; Willett, Rebecca M.; Calderbank, Robert
3
2011
Fast essentially maximum likelihood decoding of the Golden code. Zbl 1365.94602
Sirinaunpiboon, Songsri; Calderbank, A. Robert; Howard, Stephen D.
1
2011
Volume thresholds for quantum fault tolerance. Zbl 1200.81022
Aggarwal, Vaneet; Calderbank, A. Robert; Gilbert, Gerald; Weinstein, Yaakov S.
6
2010
Grassmannian packings from operator Reed-Muller codes. Zbl 1366.94574
Ashikhmin, Alexei; Calderbank, A. Robert
6
2010
Reed-Muller sensing matrices and the LASSO (invited paper). Zbl 1257.94011
Calderbank, Robert; Jafarpour, Sina
3
2010
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao
45
2009
Chirp sensing codes: Deterministic compressed sensing measurements for fast recovery. Zbl 1156.94305
Applebaum, Lorne; Howard, Stephen D.; Searle, Stephen; Calderbank, Robert
20
2009
Efficient and robust compressed sensing using optimized expander graphs. Zbl 1367.94095
Jafarpour, Sina; Xu, Weiyu; Hassibi, Babak; Calderbank, Robert
11
2009
Doppler resilient Golay complementary waveforms. Zbl 1327.94090
Pezeshki, Ali; Calderbank, A. Robert; Moran, William; Howard, Stephen D.
13
2008
Boolean functions, projection operators, and quantum error correcting codes. Zbl 1214.81064
Aggarwal, Vaneet; Calderbank, A. Robert
5
2008
Applications of LDPC codes to the wiretap channel. Zbl 1326.94131
Thangaraj, Andrew; Dihidar, Souvik; Calderbank, A. Robert; Mclaughlin, Steven W.; Merolla, Jean-Marc
7
2007
A simple signal processing architecture for instantaneous radar polarimetry. Zbl 1205.94035
Howard, Stephen D.; Calderbank, A. Robert; Moran, William
4
2007
The finite Heisenberg-Weyl groups in radar and communications. Zbl 1122.94015
Howard, S. D.; Calderbank, A. R.; Moran, W.
23
2006
Improved range-summable random variable construction algorithms. Zbl 1297.68062
Calderbank, A. R.; Gilbert, A.; Levchenko, K.; Muthukrishnan, S.; Strauss, M.
2
2005
The pros and cons of democracy. Zbl 1061.94014
Calderbank, A. R.; Daubechies, I.
11
2002
Orthogonal designs and third generation wireless communication. Zbl 1029.94001
Calderbank, A. R.; Naguib, A. F.
1
2001
Space-time block codes from orthogonal designs. Zbl 0965.94004
Tarokh, Vahid; Jafarkhani, Hamid; Calderbank, A. R.
53
1999
A group-theoretic framework for the construction of packings in Grassmannian spaces. Zbl 0941.51033
Calderbank, A. R.; Hardin, R. H.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A.
24
1999
Space-time codes for high data rate wireless communication: Performance criteria in the presence of channel estimation errors, mobility, and multiple paths. Zbl 0984.94500
Tarokh, Vahid; Naguib, Ayman; Seshadri, Nambi; Calderbank, A. R.
5
1999
Minimal tail-biting trellises: the Golay code and more. Zbl 0965.94024
Calderbank, A. R.; Forney, G. David jun.; Vardy, Alexander
5
1999
Combined array processing and space-time coding. Zbl 0959.94003
Tarokh, Vahid; Naguib, Ayman; Seshadri, Nambi; Calderbank, A. Robert
1
1999
Quantum error correction via codes over \(\mathrm{GF}(4)\). Zbl 0982.94029
Calderbank, A. Robert; Rains, Eric M.; Shor, P. W.; Sloane, Neil J. A.
528
1998
Space-time codes for high data rate wireless communication: Performance criterion and code construction. Zbl 0910.94013
Tarokh, Vahid; Seshadri, Nambi; Calderbank, A. R.
56
1998
Wavelet transforms that map integers to integers. Zbl 0941.42017
Calderbank, A. R.; Daubechies, Ingrid; Sweldens, Wim; Yeo, Boon-Lock
34
1998
The art of signaling: fifty years of coding theory. Zbl 0953.94001
Calderbank, A. R.
2
1998
Quantum error correction and orthogonal geometry. Zbl 1005.94541
Calderbank, A. R.; Rains, E. M.; Shor, P. W.; Sloane, N. J. A.
127
1997
\(\mathbb{Z}_4\)-Kerdock codes, orthogonal spreads, and extremal Euclidean line-sets. Zbl 0916.94014
Calderbank, A. R.; Cameron, P. J.; Kantor, W. M.; Seidel, J. J.
101
1997
Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices. Zbl 0881.94026
Calderbank, A. R.; Sloane, N. J. A.
18
1997
A 2-adic approach to the analysis of cyclic codes. Zbl 0898.94011
Calderbank, A. R.; Li, Wen-Ching Winnie; Poonen, Bjorn
6
1997
Construction of a \((64,2^{37},12)\) code via Galois rings. Zbl 0868.94042
Calderbank, A. R.; McGuire, Gary
3
1997
Good quantum error-correcting codes exist. Zbl 07918813
Calderbank, A. R.; Shor, Peter W.
108
1996
Large families of quaternary sequences with low correlation. Zbl 0943.94512
Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R.; Hammons, A. Roger
20
1996
On a conjecture of Helleseth regarding pairs of binary \(m\)-sequences. Zbl 0943.94513
Calderbank, A. R.; McGuire, Gary; Poonen, Bjorn; Rubinstein, Michael
12
1996
Cyclic codes over \(\mathbb{Z}_ 4\), locator polynomials, and Newton’s identities. Zbl 0858.94021
Calderbank, A. R.; McGuire, Gary; Kumar, P. Vijay; Helleseth, Tor
4
1996
Modular and \(p\)-adic cyclic codes. Zbl 0848.94020
Calderbank, A. R.; Sloane, N. J. A.
130
1995
Quaternary quadratic residue codes and unimodular lattices. Zbl 0822.94009
Bonnecaze, Alexis; Solé, Patrick; Calderbank, A. R.
55
1995
An upper bound for Weil exponential sums over Galois rings and applications. Zbl 0853.11098
Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R.
29
1995
Proof of a conjecture of Sarwate and Pursley regarding pairs of binary \(m\)-sequences. Zbl 0830.94010
McGuire, Gary; Calderbank, A. R.
9
1995
\(\mathbb{Z}_ 4\)-linear codes obtained as projections of Kerdock and Delsarte-Goethals codes. Zbl 0867.94028
Calderbank, A. R.; McGuire, Gary
2
1995
Covering properties of convolutional codes and associated lattices. Zbl 0834.94017
Calderbank, A. R.; Fishburn, Peter C.; Rabinovich, Asya
2
1995
Different aspects of coding theory. American Mathematical Society short course, January 2-3, 1995, San Francisco, CA, USA. Proceedings. Zbl 0830.00053
1
1995
The \(\mathbb Z_4\)-linearity of Kerdock, Preparata, Goethals, and related codes. Zbl 0811.94039
Hammons, A. Roger jun.; Kumar, P. Vijay; Calderbank, A. R.; Sloane, N. J. A.; Solé, Patrick
543
1994
Maximal three-independent subsets of \(\{0,1,2\}^ n\). Zbl 0803.51016
Calderbank, A. R.; Fishburn, P. C.
7
1994
Representations of the symmetric group in deformations of the free Lie algebra. Zbl 0789.17004
Calderbank, A. R.; Hanlon, P.; Sundaram, S.
6
1994
The normalized second moment of the binary lattice determined by a convolutional code. Zbl 0803.94020
Calderbank, A. R.; Fishburn, P. C.
1
1994
A linear construction for certain Kerdock and Preparata codes. Zbl 0783.94026
Calderbank, A. R.; Hammons, A. R. jun.; Kumar, P. Vijay; Sloane, N. J. A.; Solé, Patrick
48
1993
The Sperner capacity of linear and nonlinear codes for the cyclic triangle. Zbl 0778.94004
Calderbank, A. R.; Frankl, P.; Graham, R. L.; Li, W.-C. W.; Shepp, L. A.
10
1993
Extending the \(t\)-design concept. Zbl 0783.05028
Calderbank, A. R.; Delsarte, P.
7
1993
On error-correcting codes and invariant linear forms. Zbl 0768.94020
Calderbank, A. R.; Delsarte, P.
4
1993
Multilevel codes for unequal error protection. Zbl 0801.94019
Calderbank, A. R.; Seshadri, N.
3
1993
On the apparent duality of the Kerdock and Preparata codes. Zbl 0786.94020
Hammons, A. Roger jun.; Kumar, P. Vijay; Calderbank, A. R.; Sloane, N. J. A.; Solé, Patrick
1
1993
Quasi-symmetric designs and the Smith normal form. Zbl 0766.05008
Blokhuis, A.; Calderbank, A. R.
9
1992
Covering bounds for codes. Zbl 0744.94026
Calderbank, A. R.
2
1992
Upper bounds for small trellis codes. Zbl 0775.94106
Calderbank, A. R.; Pottie, G. J.
1
1992
Covering machines. Zbl 0754.94006
Calderbank, A. R.
1
1992
Improved upper bounds concerning the Erdős-Ko-Rado theorem. Zbl 0793.05136
Calderbank, A. R.; Frankl, P.
1
1992
A strengthening of the Assmus-Mattson theorem. Zbl 0734.94018
Calderbank, A. R.; Delsarte, P.; Sloane, N. J. A.
8
1991
The mathematics of modems. Zbl 0729.94504
Calderbank, A. R.
1
1991
Quasi-symmetric 3-designs and elliptic curves. Zbl 0742.05013
Calderbank, A. R.; Morton, Patrick
9
1990
Covering radius and the chromatic number of Kneser graphs. Zbl 0729.05017
Calderbank, A. R.
1
1990
Multilevel codes and multistage decoding. Zbl 0667.94010
Calderbank, A. R.
2
1989
Geometric invariants for quasi-symmetric designs. Zbl 0662.05008
Calderbank, A. R.
14
1988
Inequalities for quasisymmetric designs. Zbl 0662.05007
Calderbank, A. R.
11
1988
Symmetric designs as the solution of an extremal problem in combinatorial set theory. Zbl 0654.05007
Calderbank, A. R.
4
1988
The application of invariant theory to the existence of quasi-symmetric designs. Zbl 0653.05011
Calderbank, A. R.
14
1987
New trellis codes based on lattices and cosets. Zbl 0638.94018
Calderbank, A. R.; Sloane, N. J. A.
5
1987
The geometry of two-weight codes. Zbl 0582.94019
Calderbank, R.; Kantor, W. M.
309
1986
Partitions into even and odd block size and some unusual characters of the symmetric groups. Zbl 0602.20017
Calderbank, A. R.; Hanlon, P.; Robinson, R. W.
24
1986
An Erdős-Ko-Rado theorem for regular intersecting families of octads. Zbl 0616.05010
Brouwer, A. E.; Calderbank, A. R.
3
1986
Binary convolutional codes with application to magnetic recording. Zbl 0611.94004
Calderbank, A. R.; Heegard, Chris; Lee, Ting-Ann
2
1986
Nonexistence of a uniformly packed [70,58,5] code. Zbl 0611.94012
Calderbank, A. R.
2
1986
The extension to root systems of a theorem on tournaments. Zbl 0595.05038
Calderbank, A. R.; Hanlon, Phil
1
1986
On a pair of dual subschemes of the Hamming scheme \(H_ n(q)\). Zbl 0579.05021
Calderbank, A. R.; Goethals, J.-M.
11
1985
Sequencing problems in two-server systems. Zbl 0593.90033
Calderbank, A. R.; Coffman, E. G. jun.; Flatto, L.
10
1985
Sequencing two servers on a sphere. Zbl 0554.60092
Calderbank, A. R.; Coffman, E. G. jun.; Flatto, L.
3
1985
Four-dimensional modulation with an eight-state trellis code. Zbl 0587.94007
Calderbank, A. R.; Sloane, N. J. A.
1
1985
Three-weight codes and association schemes. Zbl 0546.94016
Calderbank, A. R.; Goethals, J.-M.
103
1984
Increasing sequences with nonzero block sums and increasing paths in edge-ordered graphs. Zbl 0542.05058
Calderbank, A. R.; Chung, F. R. K.; Sturtevant, D. G.
15
1984
...and 8 more Documents
all top 5

Cited by 2,618 Authors

69 Zhu, Shixin
67 Solé, Patrick
45 Li, Ruihu
44 Dinh, Hai Quang
42 Shi, Minjia
41 Fu, Fangwei
40 Kai, Xiaoshan
35 Dougherty, Steven T.
35 Gao, Jian
26 Liu, Xiusheng
24 Fernández-Córdoba, Cristina
23 Prakash, Om
22 Calderbank, Arthur Robert
21 Bhaintwal, Maheshanand
21 Cao, Xiwang
21 Cao, Yonglin
21 Harada, Masaaki
20 Gulliver, Thomas Aaron
19 Ling, San
19 Villanueva, Mercè
18 Abualrub, Taher A.
18 Aydin, Nuh
18 Islam, Habibul
18 Liu, Yang
18 Tonchev, Vladimir D.
18 Yue, Qin
17 Casazza, Peter George
17 Helleseth, Tor
17 Upadhyay, Ashish Kumar
17 Zhou, Zhengchun
16 Mixon, Dustin G.
16 Tang, Chunming
15 Cao, Yuan
15 Fickus, Matthew C.
15 Heng, Ziling
15 Li, Chengju
15 Mohammad, Ghulam
15 Sharma, Anuradha
15 Siap, Irfan
15 Sloane, Neil James Alexander
15 Xiang, Qing
15 Zinov’ev, Viktor Aleksandrovich
14 Bag, Tushar
14 Feng, Tao
14 Kim, Jon-Lark
14 Liu, Hongwei
14 Luo, Gaojun
14 Rúa, Ignacio Fernández
13 Ashraf, Mohammad
13 Borges, Joaquim
13 Guenda, Kenza
13 La Guardia, Giuliano Gadioli
13 Lee, Yoonjin
13 Liu, Hualu
13 Sriboonchitta, Songsak
12 Alahmadi, Adel N.
12 Ding, Cunsheng
12 Guo, Luobin
12 Hernando, Fernando
12 Lu, Liangdong
12 Mesnager, Sihem
12 Rifà i Coma, Josep
12 Sun, Zhonghua
12 Wang, Liqi
11 Abdukhalikov, Kanat S.
11 Cossidente, Antonio
11 Feng, Keqin
11 Guo, Guanmin
11 Li, Nian
11 Napolitano, Vito
11 Nguyen, Bac Trong
11 Parker, Matthew Geoffrey
11 Qian, Liqin
11 Wang, Junli
11 Yildiz, Bahattin
10 Bartoli, Daniele
10 Galindo Pastor, Carlos
10 Greferath, Marcus
10 Hu, Peng
10 Jitman, Somphong
10 Krahmer, Felix
10 Li, Ping
10 Ruano, Diego
9 Aydogdu, Ismail
9 Bandi, Ramakrishna
9 Byrne, Eimear
9 Chen, Xiaojing
9 Davis, James Avery
9 Ezerman, Martianus Frederic
9 Ma, Yuena
9 Momihara, Koji
9 Park, Youngho
9 Samei, Karim
9 Singh, Abhay Kumar
9 Solov’eva, Faina Ivanovna
8 Bhunia, Dipak Kumar
8 Bierbrauer, Jürgen
8 Bodmann, Bernhard G.
8 Gaborit, Philippe
8 Jasper, John Sahayam
...and 2,518 more Authors
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Cited in 292 Serials

221 Designs, Codes and Cryptography
192 Quantum Information Processing
158 Discrete Mathematics
141 Finite Fields and their Applications
81 Advances in Mathematics of Communications
68 Cryptography and Communications
64 Journal of Combinatorial Theory. Series A
55 Applicable Algebra in Engineering, Communication and Computing
48 International Journal of Theoretical Physics
48 Linear Algebra and its Applications
46 Journal of Applied Mathematics and Computing
44 Journal of Algebraic Combinatorics
38 Applied and Computational Harmonic Analysis
38 International Journal of Quantum Information
31 European Journal of Combinatorics
29 Journal of Mathematical Physics
26 Discrete Applied Mathematics
26 Discrete Mathematics, Algorithms and Applications
22 Problems of Information Transmission
22 Computational and Applied Mathematics
22 Journal of Algebra and its Applications
20 Journal of Combinatorial Designs
16 Journal of Geometry
16 The Journal of Fourier Analysis and Applications
16 New Journal of Physics
15 Journal of Physics A: Mathematical and Theoretical
15 EURASIP Journal on Advances in Signal Processing
13 Graphs and Combinatorics
13 Journal of Algebra, Combinatorics, Discrete Structures and Applications
12 Journal of Number Theory
12 Journal of Systems Science and Complexity
11 Journal of the Franklin Institute
11 Science in China. Series F
11 Asian-European Journal of Mathematics
10 Information Sciences
10 Journal of Pure and Applied Algebra
9 Journal of Statistical Planning and Inference
9 The Electronic Journal of Combinatorics
8 Communications in Mathematical Physics
8 Journal of Algebra
8 Transactions of the American Mathematical Society
8 Mathematical Problems in Engineering
8 SIAM Journal on Imaging Sciences
7 Indian Journal of Pure & Applied Mathematics
7 Proceedings of the American Mathematical Society
7 Circuits, Systems, and Signal Processing
7 Advances in Computational Mathematics
7 Journal of Discrete Mathematical Sciences & Cryptography
7 Science China. Mathematics
6 Information Processing Letters
6 Journal of Mathematical Analysis and Applications
6 Reports on Mathematical Physics
6 Theoretical Computer Science
6 Journal of Complexity
6 SIAM Journal on Discrete Mathematics
6 International Journal of Computer Mathematics
6 Physical Review A, Third Series
6 Korean Journal of Mathematics
5 International Journal of Modern Physics B
5 Advances in Applied Mathematics
5 Bulletin of the Korean Mathematical Society
5 Combinatorica
5 Acta Applicandae Mathematicae
5 Journal de Théorie des Nombres de Bordeaux
5 Journal of High Energy Physics
5 Foundations of Physics
4 Bulletin of the Australian Mathematical Society
4 Communications on Pure and Applied Mathematics
4 Physica A
4 Applied Mathematics and Computation
4 Journal of Combinatorial Theory. Series B
4 Journal of the Korean Mathematical Society
4 Journal of Symbolic Computation
4 Discrete & Computational Geometry
4 Information and Computation
4 Signal Processing
4 Multidimensional Systems and Signal Processing
4 Random Structures & Algorithms
4 Annals of Physics
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Journal of Machine Learning Research (JMLR)
4 International Journal of Wavelets, Multiresolution and Information Processing
3 Communications in Algebra
3 Inverse Problems
3 Linear and Multilinear Algebra
3 Physics Letters. A
3 The Annals of Statistics
3 Journal of Approximation Theory
3 The Journal of the Indian Mathematical Society. New Series
3 SIAM Journal on Computing
3 Chinese Annals of Mathematics. Series B
3 Algorithmica
3 Science in China. Series A
3 International Journal of Foundations of Computer Science
3 Pattern Recognition
3 Journal of Mathematical Imaging and Vision
3 Journal of Mathematical Sciences (New York)
3 Wuhan University Journal of Natural Sciences (WUJNS)
3 Physical Review Letters
3 Journal of Applied Mathematics
...and 192 more Serials
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Cited in 57 Fields

1,578 Information and communication theory, circuits (94-XX)
546 Quantum theory (81-XX)
517 Number theory (11-XX)
453 Combinatorics (05-XX)
157 Geometry (51-XX)
113 Harmonic analysis on Euclidean spaces (42-XX)
105 Computer science (68-XX)
75 Linear and multilinear algebra; matrix theory (15-XX)
74 Group theory and generalizations (20-XX)
65 Numerical analysis (65-XX)
64 Commutative algebra (13-XX)
52 Operations research, mathematical programming (90-XX)
47 Associative rings and algebras (16-XX)
42 Algebraic geometry (14-XX)
41 Statistics (62-XX)
29 Functional analysis (46-XX)
28 Convex and discrete geometry (52-XX)
25 Probability theory and stochastic processes (60-XX)
24 Field theory and polynomials (12-XX)
23 Order, lattices, ordered algebraic structures (06-XX)
23 Systems theory; control (93-XX)
19 Nonassociative rings and algebras (17-XX)
17 Operator theory (47-XX)
14 Biology and other natural sciences (92-XX)
11 Statistical mechanics, structure of matter (82-XX)
9 Approximations and expansions (41-XX)
7 Topological groups, Lie groups (22-XX)
5 General and overarching topics; collections (00-XX)
5 Special functions (33-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Algebraic topology (55-XX)
5 Manifolds and cell complexes (57-XX)
4 History and biography (01-XX)
4 Category theory; homological algebra (18-XX)
4 Measure and integration (28-XX)
4 Functions of a complex variable (30-XX)
4 Abstract harmonic analysis (43-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Ordinary differential equations (34-XX)
3 Partial differential equations (35-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Differential geometry (53-XX)
3 General topology (54-XX)
3 Mechanics of particles and systems (70-XX)
3 Optics, electromagnetic theory (78-XX)
3 Relativity and gravitational theory (83-XX)
2 Real functions (26-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)
1 Potential theory (31-XX)
1 Mechanics of deformable solids (74-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

Citations by Year

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