Results 1 to 10 of about 17,954 (130)
Symplectic QSD, LCD, and ACD Codes over a Non-Commutative Non-Unitary Ring of Order Nine [PDF]
EntropyWe introduce quasi self-dual (QSD), linear complementary dual (LCD), and additive complementary dual (ACD) codes for the symplectic inner product over a non-commutative non-unitary ring of order 9. We establish connections with symplectic–self-orthogonal
Sarra Manseri +3 more
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Binary linear complementary dual codes [PDF]
Cryptography and Communications, 2018 28 ...
Masaaki Harada, Harada Masaaki
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Quaternary Hermitian Linear Complementary Dual Codes [PDF]
IEEE Transactions on Information Theory, 2020 24 pages, some corrections are ...
Masaaki Harada, Makoto Araya
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On the classification of linear complementary dual codes [PDF]
Discrete Mathematics, 2019 We give a complete classification of binary linear complementary dual codes of lengths up to $13$ and ternary linear complementary dual codes of lengths up to $10$.
Masaaki Harada, Makoto Araya
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Quasi-cyclic complementary dual codes [PDF]
Finite Fields and Their Applications, 2016 LCD codes are linear codes that intersect with their dual trivially. Quasi cyclic codes that are LCD are characterized and studied by using their concatenated structure. Some asymptotic results are derived. Hermitian LCD codes are introduced to that end and their cyclic subclass is characterized.
Cem Güneri +2 more
exaly +5 more sources
Remark on subcodes of linear complementary dual codes [PDF]
Information Processing Letters, 2020 We show that any ternary Euclidean (resp.\ quaternary Hermitian) linear complementary dual $[n,k]$ code contains a Euclidean (resp.\ Hermitian) linear complementary dual $[n,k-1]$ subcode for $2 \le k \le n$. As a consequence, we derive a bound on the largest minimum weights among ternary Euclidean linear complementary dual codes and quaternary ...
Masaaki Harada
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On complementary dual additive cyclic codes [PDF]
Advances in Mathematics of Communications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cem Güneri +2 more
exaly +4 more sources
Complementary Dual Algebraic Geometry Codes [PDF]
IEEE Transactions on Information Theory, 2018 Linear complementary dual (LCD) codes is a class of linear codes introduced by Massey in 1964. LCD codes have been extensively studied in literature recently. In addition to their applications in data storage, communications systems, and consumer electronics, LCD codes have been employed in cryptography.
Chunming Tang +2 more
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Characterization and enumeration of complementary dual abelian codes [PDF]
Journal of Applied Mathematics and Computing, 2017 Abelian codes and complementary dual codes form important classes of linear codes that have been extensively studied due to their rich algebraic structures and wide applications. In this paper, a family of abelian codes with complementary dual in a group algebra $\mathbb{F}_{p^ν}[G]$ has been studied under both the Euclidean and Hermitian inner ...
Patanee Udomkavanich +2 more
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On complementary-dual quasi-cyclic codes
Finite Fields and Their Applications, 2009 A linear code with a complementary dual (an LCD code) is a linear code \(C\) whose dual \(C^ \perp\) satisfies \(C\cap C^ \perp= \{0\}\). Necessary and sufficient conditions for a cyclic code be an LCD code were given by \textit{X. Yang} and \textit{J. L. Massey} [Discrete Math. 126, No. 1--3, 391--393 (1994; Zbl 0790.94022)].
M Esmaeili
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