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IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2017, Volume 63, Issue 3, pp. 1434 - 1438
Both Maximum Distance Separable and Euclidean self-dual codes have theoretical and practical importance and the study of MDS self-dual codes has attracted lots... 
Reed-Solomon codes | Context | Self-dual codes | Generators | Electronic mail | Cryptography | Indexes | Block codes | MDS codes | generalized Reed-Solomon codes | Generalized Reed-Solomon codes | PRIME FIELDS | GENERATOR MATRICES | COMPUTER SCIENCE, INFORMATION SYSTEMS | CLASSIFICATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Usage | Codes | Binary system
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 09/2019, Volume 65, Issue 9, pp. 5574 - 5579
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 05/2014, Volume 27, pp. 24 - 40
Linear codes are considered over the ring , a non-chain extension of . Lee weights, Gray maps for these codes are defined and MacWilliams identities for the... 
Lifts | Projections | Codes over rings | Complete weight enumerator | MacWilliams identities | Formally self-dual codes
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 11/2017, Volume 48, pp. 306 - 317
A relationship between -extremal singly even self-dual codes and extremal doubly even self-dual codes with covering radius meeting the Delsarte bound, is... 
Extremal doubly even self-dual code | s-Extremal singly even self-dual code | Covering radius | MATHEMATICS | MATHEMATICS, APPLIED | LENGTH | CLASSIFICATION | Bisphenol-A | Mathematics - Combinatorics
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 08/2011, Volume 57, Issue 8, pp. 5536 - 5550
Journal Article
TURKISH JOURNAL OF MATHEMATICS, ISSN 1300-0098, 2019, Volume 43, Issue 5, pp. 2177 - 2182
In this short note we give an exact count for the number of self-dual codes over a finite field F-q of odd characteristic containing a given self-orthogonal... 
MATHEMATICS | DUAL CODES | self-dual codes | Symmetric bilinear forms | maximal isotropic subspaces
Journal Article
Finite Fields and Their Applications, ISSN 1071-5797, 05/2018, Volume 51, pp. 17 - 30
This paper studies and classifies optimal binary self-dual codes having an automorphism of order 7 with 9 cycles. This classification is done by applying a... 
Self-dual codes | Automorphisms | MATHEMATICS | MATHEMATICS, APPLIED | CLASSIFICATION
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2014, Volume 60, Issue 3, pp. 1496 - 1507
Journal Article
Journal Article
Discrete Mathematics, ISSN 0012-365X, 08/2019, Volume 342, Issue 8, pp. 2283 - 2296
Over finite local Frobenius non-chain rings with nilpotency index 3 and when the length of the codes is relatively prime to the characteristic of the residue... 
Self-dual codes | Constacyclic codes | Complementary dual codes | Frobenius rings | Reversible codes | Chain rings | MATHEMATICS | LINEAR CODES
Journal Article
Designs, Codes and Cryptography, ISSN 0925-1022, 11/2018, Volume 86, Issue 11, pp. 2605 - 2618
Journal Article
Designs, Codes, and Cryptography, ISSN 0925-1022, 01/2019, Volume 87, Issue 1, pp. 173 - 182
We show that every self-orthogonal code over Fq of length n can be extended to a self-dual code, if there exists self-dual codes of length n. Using a family of... 
Self-dual codes | Tsfasman–Vladut–Zink Bound | Quadratic forms | Algebraic geometry codes | Towers of function fields | Asymptotically good codes | Gilbert–Varshamov Bound | Witt’s Theorem | MATHEMATICS, APPLIED | Tsfasman-Vladut-Zink Bound | 11T71 | Witt's Theorem | 15A63 | 14G50 | Gilbert-Varshamov Bound | 94B27 | COMPUTER SCIENCE, THEORY & METHODS | 94B65
Journal Article
IEEE Communications Letters, ISSN 1089-7798, 05/2019, Volume 23, Issue 5, pp. 781 - 784
Both self-dual codes and maximum distance separable (MDS) codes have nice algebraic structures, theoretical significance, and practical implications. We... 
Reed-Solomon codes | Computer science | Cyberspace | Linear codes | Mathematics | Hermitian self-dual codes | Cryptography | Indexes | GRS codes | MDS codes | CLASSIFICATION | TELECOMMUNICATIONS | CONSTRUCTION | Codes
Journal Article
Journal of Applied Mathematics and Computing, ISSN 1598-5865, 10/2019, Volume 61, Issue 1, pp. 281 - 295
In this paper, we investigate the rank-metric codes which are proposed by Delsarte and Gabidulin to be complementary dual codes. We first point out the... 
Computational Mathematics and Numerical Analysis | Mathematics of Computing | 15B99 | Self-dual basis | 15A99 | Mathematical and Computational Engineering | Gabidulin LCD codes | Mathematics | Theory of Computation | MRD codes | 15A03 | Delsarte LCD codes | Liquid crystal displays | Rankings | Codes | Algorithms | Fields (mathematics) | Decoding
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 03/2019, Volume 65, Issue 3, pp. 1740 - 1751
Constacyclic codes are well-known generalizations of cyclic and negacyclic codes. Due to their rich algebraic structure, constacyclic codes are used to... 
Constacyclic codes | Linear codes | Shift registers | Liquid crystal displays | Generators | LCD codes | Error correction codes | Cryptography | Indexes | self-dual codes | dual codes | COMPUTER SCIENCE, INFORMATION SYSTEMS | CYCLIC CODES | ENGINEERING, ELECTRICAL & ELECTRONIC | Polynomials | Fields (mathematics) | Mathematical analysis | Binary system
Journal Article
Designs, Codes and Cryptography, ISSN 0925-1022, 9/2017, Volume 84, Issue 3, pp. 473 - 492
Journal Article
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, ISSN 1223-7027, 2018, Volume 80, Issue 3, pp. 111 - 122
Journal Article
Journal Article
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