Cyclic relative difference families with block size four and their applications. (English) Zbl 07852605
MSC:
94Bxx
Found 112 Documents (Results 1–100)
Balanced \(( \mathbb{Z}_{2u}\times \mathbb{Z}_{38v}, \{3, 4, 5\}, 1)\) difference packings and related codes. (English) Zbl 1536.05126
Reviewer: Peter Dukes (Victoria)
New constructions of optimal optical orthogonal codes based on partitionable sets and almost partitionable sets. (English) Zbl 1542.94272
MSC:
94B60
Some progress on optimal 2-D \((n\times m,3,2,1) \)-optical orthogonal codes. (English) Zbl 1520.94108
Constructions of optimal two-dimensional optical orthogonal codes with AM-OPPW restriction for \(\lambda = 2\). (English) Zbl 1517.94211
On optimal \((\mathbb{Z}_{6m}\times\mathbb{Z}_{6n}, 4, 1)\) and \((\mathbb{Z}_{2m}\times \mathbb{Z}_{18n}, 4, 1)\) difference packings and their related codes. (English) Zbl 1536.05075
Constructions of balanced \((N, M, \{4, 5\}, 1; 2)\) multilength variable-weight optical orthogonal codes. (English) Zbl 1521.94133
The existence of cyclic \((v, 4, 1)\)-designs. (English) Zbl 1497.05021
MSC:
05B05
Maximum \(w\)-cyclic holey group divisible packings with block size three and applications to optical orthogonal codes. (English) Zbl 1536.05122
Constructions on optimal \({(v,\{4,5\},1,\{\frac{1}{2},\frac{1}{2}\})}\)-OOCs. (Chinese. English summary) Zbl 1524.94100
On balanced \(( \mathbb{Z}_{4 u} \times \mathbb{Z}_{8 v}, \{4, 5 \}, 1)\) difference packings. (English) Zbl 1472.05032
New results on modular Golomb rulers, optical orthogonal codes and related structures. (English) Zbl 1469.05021
Bounds and constructions for multilength variable-weight optical orthogonal codes. (English) Zbl 1471.94032
\((\mathbb{Z}_u \times \mathbb{Z}_v, 4, 1)\) difference packing and applications to optical orthogonal signature pattern codes. (English) Zbl 1463.05033
Optimal optical orthogonal signature pattern codes with weight three and cross-correlation constraint one. (English) Zbl 1428.05049
\(n\)-dimensional optical orthogonal codes, bounds and optimal constructions. (English) Zbl 1459.94173
Optimal 2-D \((n\times m,3,2,1)\)-optical orthogonal codes and related equi-difference conflict avoiding codes. (English) Zbl 1453.05020
Reviewer: Charles J. Colbourn (Tempe)
Combinatorial constructions of optimal \((m,n,4,2)\) optical orthogonal signature pattern codes. (English) Zbl 1401.94235
Bound and construction for optimal \(\left ( {n,\left\{ {3,4,5} \right\},\left ( {2,3,1} \right),1,Q} \right)\)-OOCs. (Chinese. English summary) Zbl 1399.94079
Cyclic \(\left({W, 1, Q; v} \right)\) packings and optimal variable-weight optical orthogonal codes. (English) Zbl 1372.94476
New optical orthogonal signature pattern codes with maximum collision parameter 2 and weight 4. (English) Zbl 1381.94129
Bounds and constructions for optimal variable-weight OOCs with unequal auto- and cross-correlation constraints. (English) Zbl 1407.94181
MSC:
94B05
Optimal two-dimensional optical orthogonal codes with the best cross-correlation constraint. (English) Zbl 1372.94473
Determination of sizes of optimal three-dimensional optical orthogonal codes of weight three with the AM-OPP restriction. (English) Zbl 1372.94477
\(w\)-cyclic holey group divisible designs and their application to three-dimensional optical orthogonal codes. (English) Zbl 1361.05019
Affine-invariant strictly cyclic Steiner quadruple systems. (English) Zbl 1367.05018
Reviewer: Esther R. Lamken (San Francisco)
Construction of \((6\times v, \{3,4\},1,Q)\)-OOCs. (Chinese. English summary) Zbl 1374.94813
Constructions on optimal \((v,\{3,4\}, 1, Q)\)-optical orthogonal codes. (Chinese. English summary) Zbl 1363.94064
Optimal variable-weight OOCs with weight set \(\{3,4,7\}\). (Chinese. English summary) Zbl 1363.94105
Semi-cyclic holey group divisible designs and applications to sampling designs and optical orthogonal codes. (English) Zbl 1342.05017
Combinatorial constructions for optimal multiple-weight optical orthogonal signature pattern codes. (English) Zbl 1372.94478
Classification of maximal optical orthogonal codes of weight 3 and small lengths. (English) Zbl 1387.94110
New families of asymptotically optimal doubly periodic arrays with ideal correlation constraints. (English) Zbl 1332.94114
Orbit-disjoint regular \((n, 3, 1)\)-CDPs and their applications to multilength OOCs. (English) Zbl 1327.05037
Optimal three-dimensional optical orthogonal codes of weight three. (English) Zbl 1311.05029
Reviewer: Patric R. J. Östergård (Helsinki)
Further results on optimal \((m,n,4,1)\) optical orthogonal signature pattern codes. (Chinese. English summary) Zbl 1499.94071
Bounds and constructions for two-dimensional variable-weight optical orthogonal codes. (English) Zbl 1342.94126
Combinatorial constructions for optimal 2-D optical orthogonal codes with AM-OPPTS property. (English) Zbl 1286.05025
Some infinite classes of optimal \({(v,\{3,4\},1,Q)}\)-OOCs with \({Q\in\{(\frac{1}{3},\frac{2}{3}),(\frac{2}{3},\frac{1}{3})\}}\). (English) Zbl 1408.05032
Combinatorial constructions for maximum optical orthogonal signature pattern codes. (English) Zbl 1283.94136
Determination of the sizes of optimal \((m,n,k,\lambda,k-1)\)-OOSPCs for \(\lambda=k-1, k\). (English) Zbl 1281.94097
Constructions of optical orthogonal codes based on cyclic \(t\)-wise quasi-difference matrices. (English) Zbl 1418.05042
Constructions of optimal \((v,\{3,4,5,6\},1,Q)\)-OOCs. (Chinese. English summary) Zbl 1289.94057
Optimal \((v, 4, 2, 1)\) optical orthogonal codes with small parameters. (English) Zbl 1264.94116
Reviewer: Dieter Jungnickel (Augsburg)
The sizes of optimal \((n,4,\lambda,3)\) optical orthogonal codes. (English) Zbl 1268.94038
Reviewer: K. Lindström (Turku)
On balanced optimal \((18u,\{3,4\},1)\) optical orthogonal codes. (English) Zbl 1267.94139
Reviewer: Patric R. J. Östergård (Helsinki)
Two classes of optimal two-dimensional OOCs. (English) Zbl 1263.94040
MSC:
94B60
Further results on optimal \((v,4,2,1)\)-OOCs. (English) Zbl 1233.94032
MSC:
94B25
Multi-structured designs and their applications. (English) Zbl 1366.05021
Crnković, Dean (ed.) et al., Information security, coding theory and related combinatorics. Information coding and combinatorics. Based on lectures presented at the NATO Advanced Study Institute, Opatija, Croatia, May 31 – June 11, 2010. Amsterdam: IOS Press (ISBN 978-1-60750-662-1/hbk; 978-1-60750-663-8/ebook). NATO Science for Peace and Security Series D: Information and Communication Security 29, 326-362 (2011).
A study on the construction of strict-optimal optical orthogonal codes based on an o-plus matrix. (Chinese. English summary) Zbl 1265.94048
Classification of optimal \((v, 4, 1)\) binary cyclically permutable constant-weight codes and cyclic \(2\)-\((v, 4, 1)\) designs with \(v \leq 76\). (English. Russian original) Zbl 1241.05015
Probl. Inf. Transm. 47, No. 3, 224-231 (2011); translation from Probl. Peredachi Inf. 47, No. 3, 10-18 (2011).
Reviewer: Patric R. J. Östergård (Helsinki)
Spreads, arcs, and multiple wavelength codes. (English) Zbl 1226.94021
Reviewer: Piroska Lakatos (Debrecen)
New results on optimal \((v,4,2,1)\) optical orthogonal codes. (English) Zbl 1230.05079
Reviewer: R. Wei (Thunder Bay)
Further results on optimal (\(v,\{ 3,k \} ,1,\{ 1/2,1/2\}\))-OOCs for \(k=4,5\). (English) Zbl 1216.05007
Construction of optimal variable-weight OOCs. (Chinese. English summary) Zbl 1240.94099
Hyperconics and multiple weight codes for OCDMA. (English) Zbl 1216.94064
Bruen, Aiden A. (ed.) et al., Error-correcting codes, finite geometries and cryptography. Conference on “Error-control codes, information theory and applied cryptography”, December 5–6, 2007, Fields Institute, Toronto, Ontario, Canada. Canadian Mathematical Society special session “Error control codes, information theory and applied cryptography”, CMS winter meeting, December 8–10, 2007, London, Ontario, Canda. Selected papers. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4956-9/pbk). Contemporary Mathematics 523, 67-76 (2010).
Constructions of optimal variable-weight optical orthogonal codes. (English) Zbl 1201.94133
Reviewer: Patric R. J. Östergård (Helsinki)
New optimal variable-weight optical orthogonal codes. (English) Zbl 1233.94033
Carlet, Claude (ed.) et al., Sequences and their applications – SETA 2010. 6th international conference, Paris, France, September 13–17, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15873-5/pbk). Lecture Notes in Computer Science 6338, 102-112 (2010).
MSC:
94B25
Further progress on difference families with block size 4 or 5. (English) Zbl 1198.94186
Reviewer: Wen-Fong Ke (Tainan)
On the intersection of two regular hyperovals in projective planes of even order. (English) Zbl 1142.51009
Reviewer: Leo Storme (Gent)
A few more cyclic Steiner 2-designs. (English) Zbl 1080.05010
MSC:
05B05
Constructions of optimal optical orthogonal codes with weight five. (English) Zbl 1056.05027
MSC:
05B15
Optimal (\(4up, 5, 1)\) optical orthogonal codes. (English) Zbl 1071.94031
Reviewer: Jozef Vyskoč (Bratislava)
Some progress on \((v,4,1)\) difference families and optical orthogonal codes. (English) Zbl 1061.94068
Reviewer: Alexander Pott (Magdeburg)
The combinatorial construction for a class of optimal optical orthogonal codes. (English) Zbl 1099.94037
An improved product construction of rotational Steiner quadruple systems. (English) Zbl 1012.05020
MSC:
05B05
Cyclic designs with block size 4 and related optimal optical orthogonal codes. (English) Zbl 1003.05016
Reviewer: Wolfgang Kühnel (Stuttgart)
A general construction for optimal cyclic packing designs. (English) Zbl 0991.05028
Reviewer: Patric R.J.Östergård (Helsinki)
MSC:
05B40
\((2^m-1,w,2)\) optical orthogonal codes with \(w=11\) and \(13\). (English) Zbl 0987.94518
Augot, Daniel (ed.) et al., WCC2001 international workshop on coding and cryptography. Paris, France, January 8-12, 2001. Amsterdam: Elsevier, Electron. Notes Discrete Math. 6, no pag., electronic only (2001).
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