Found 228 Documents (Results 1–100)
Four new families of NMDS codes with dimension 4 and their applications. (English) Zbl 07923270
MSC:
94B05
\( \mathbb{Z}_2 \mathbb{Z}_4\)-ACP of codes and their applications to the noiseless two-user binary adder channel. (English) Zbl 07919628
On linear complementary pairs of algebraic geometry codes over finite fields. (English) Zbl 07919627
Constacyclic and quasi-twisted codes over \(\mathbb{Z}_q [u] / \langle u^2 - 1 \rangle\) and new \(\mathbb{Z}_4\)-linear codes. (English) Zbl 07913854
A study on constacyclic codes over the ring \(\mathbb{Z}_4 + u\mathbb{Z}_4 + u^2\mathbb{Z}_4\). (English) Zbl 07906988
On quantum and LCD codes from the cyclic codes over the ring \(\mathbb{F}_q [u, v, w]/\langle u^3-u, v^2-v, w^2-w, uv, vu, uw, wu, vw-wv \rangle\). (English) Zbl 07893816
On cyclic and negacyclic codes with one-dimensional hulls and their applications. (English) Zbl 07893295
Improved lower bounds for self-dual codes over \(\mathbb{F}_{11}\), \(\mathbb{F}_{13}\), \(\mathbb{F}_{17}\), \(\mathbb{F}_{19}\) and \(\mathbb{F}_{23}\). (English) Zbl 07893289
Linear complementary dual codes and double circulant codes over a semi-local ring. (English) Zbl 07893279
Binary self-dual and LCD codes from generator matrices constructed from two group ring elements by a heuristic search scheme. (English) Zbl 07893274
New type I binary \([72, 36, 12]\) self-dual codes from \(M_6(\mathbb{F}_2)G\) – group matrix rings by a hybrid search technique based on a neighbourhood-virus optimisation algorithm. (English) Zbl 07893271
Self-orthogonal codes over a non-unital ring from two class association schemes. (English) Zbl 07888168
The Griesmer codes of Belov type and optimal quaternary codes via multi-variable functions. (English) Zbl 07880158
Hermitian hull of constacyclic codes over a class of non-chain rings and new quantum codes. (English) Zbl 07872435
Various structures of cyclic codes over the non-Frobenius ring \(\mathbb{F}_p [u, v]/\langle u^2, v^2, u v, v u\rangle\). (English) Zbl 07858365
New QEC and EAQEC codes from repeated-root cyclic codes of length \(10p^s\) over finite fields \(\mathbb{F}_{p^m} \). (English) Zbl 1542.94239
Construction of self-orthogonal \(\mathbb{Z}_{2^k}\)-codes. (English) Zbl 1540.94087
Reviewer: Nikolay Yankov (Shumen)
Linear codes and linear complementary pairs of codes over a non-chain ring. (English) Zbl 07837624
Reviewer: Nikolay Yankov (Shumen)
Hulls of linear codes from simplex codes. (English) Zbl 07835569
Reviewer: Djoko Suprijanto (Bandung)
A class of double-twisted generalized Reed-Solomon codes. (English) Zbl 1541.94080
Reviewer: Seema Thakran (Gurgaon)
MSC:
94B05
New constructions of optimal binary LCD codes. (English) Zbl 1542.94244
Reviewer: Nikolay Yankov (Shumen)
Matrix-product codes related to constacyclic codes and their applications to EAQEC codes. (English) Zbl 1533.94080
\(\mathbb{F}\)-valued trace of a finite-dimensional commutative \(\mathbb{F}\)-algebra. (English) Zbl 07796490
Decomposing self-dual bent functions. (English) Zbl 1534.94145
MSC:
94D10
Galois LCD codes over rings. (English) Zbl 1542.94197
MSC:
94B05
Several new families of MDS EAQECCs with much larger dimensions and related application to EACQCs. (English) Zbl 1542.81320
Optimal quaternary linear codes with one-dimensional Hermitian hull and related EAQECCs. (English) Zbl 1542.94191
Theory of additive complementary dual codes, constructions and computations. (English) Zbl 1534.94106
New MDS entanglement-assisted quantum codes from MDS Hermitian self-orthogonal codes. (English) Zbl 1530.94065
Five-weight codes from three-valued correlation of M-sequences. (English) Zbl 1528.94114
Reviewer: Matteo Bonini (Aalborg)
Self-dual and LCD double circulant and double negacirculant codes over a family of finite rings \(\mathbb{F}_q[v_1,v_2,\dots,v_t]\). (English) Zbl 1529.94044
Asymptotically good \(\mathbb{Z}_p\mathbb{Z}_p[u]/\langle u^t\rangle\)-additive cyclic codes. (English) Zbl 1533.94074
Construction of quaternary Hermitian LCD codes. (English) Zbl 1531.94114
Reviewer: Carolin Hannusch (Debrecen)
MSC:
94B05
Duality of generalized twisted Reed-Solomon codes and Hermitian self-dual MDS or NMDS codes. (English) Zbl 1520.94087
MSC:
94B05
MDS or NMDS LCD codes from twisted Reed-Solomon codes. (English) Zbl 1519.94236
Reviewer: Steven T. Dougherty (Scranton)
MSC:
94B05
An improved method for constructing formally self-dual codes with small hulls. (English) Zbl 1528.94110
On Toeplitz codes of index \(t\) and isometry codes. (English) Zbl 1530.94068
Reviewer: Ashkan Nikseresht (Shiraz)
MDS codes with euclidean and Hermitian hulls of flexible dimensions and their applications to EAQECCs. (English) Zbl 1542.94198
Two families of few-weight codes over a finite chain ring. (English) Zbl 1525.94063
Reviewer: Ricardo A. Podestá (Córdoba)
MSC:
94B05
An explicit expression for all distinct self-dual cyclic codes of length \(p^k\) over Galois ring \(\mathrm{GR}(p^2,m)\). (English) Zbl 1521.94111
ACD codes over \(\mathbb{Z}_2 \mathcal{R}\) and the MacWilliams identities. (English) Zbl 1521.94098
Classification of binary self-orthogonal codes of lengths from 16 to 20 and its application. (English) Zbl 1521.94099
MSC:
94B05
Optimal quaternary Hermitian LCD codes and their related codes. (English) Zbl 1516.94068
Reviewer: Nikolay Yankov (Shumen)
Binary optimal linear codes with various hull dimensions and entanglement-assisted QECCs. (English) Zbl 1524.94091
MSC:
94B05
Formally self-dual LCD codes from two-class association schemes. (English) Zbl 1529.94043
Reviewer: Sam Mattheus (Brussel)
New optimal linear codes over \(\mathbb{Z}_4\). (English) Zbl 1514.94155
Reviewer: Matteo Bonini (Aalborg)
Cyclic and LCD codes over a finite commutative semi-local ring. (English) Zbl 1537.94100
Ashraf, Mohammad (ed.) et al., Algebra and related topics with applications, ICARTA-2019, Aligarh, India, December 17–19, 2019. Singapore: Springer. Springer Proc. Math. Stat. 392, 349-359 (2022).
Reviewer: Nikolay Yankov (Shumen)
Multi-twisted additive codes with complementary duals over finite fields. (English. Russian original) Zbl 1515.94114
Probl. Inf. Transm. 58, No. 1, 32-57 (2022); translation from Probl. Peredachi Inf. 58, No. 1, 36-64 (2022).
Constructions of symplectic LCD MDS codes from quasi-cyclic codes. (English) Zbl 1528.94109
Reviewer: Carlos Galindo (Castellón)
An improved upper bound on self-dual codes over finite fields \(\mathrm{GF}(11)\), \(\mathrm{GF}(19)\), and \(\mathrm{GF}(23)\). (English) Zbl 1506.94091
Linear codes with arbitrary dimensional hull and their applications to EAQECCs. (English) Zbl 1508.94103
A new construction of linear codes with one-dimensional hull. (English) Zbl 1521.94100
Reviewer: Carlos Galindo (Castellón)
Type IV-II codes over \(\mathbb{Z}_4\) constructed from generalized bent functions. (English) Zbl 1501.94075
On the structure of 1-generator quasi-polycyclic codes over finite chain rings. (English) Zbl 1512.94150
Few-weight \(\mathbb{Z}_p\mathbb{Z}_p[u]\)-additive codes from down-sets. (English) Zbl 1507.94069
MSC:
94B05
On the construction of self-dual cyclic codes over \(\mathbb{Z}_4\) with arbitrary even length. (English) Zbl 1498.94101
Hermitian hulls of constacyclic codes and a new family of entanglement-assisted quantum MDS codes. (English) Zbl 1502.81019
Constructing few-weight linear codes and strongly regular graphs. (English) Zbl 1510.94089
Reviewer: Djoko Suprijanto (Bandung)
Group LCD and group reversible LCD codes. (English) Zbl 1510.94090
Reviewer: Carolin Hannusch (Debrecen)
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