Results 11 to 20 of about 168,087 (140)
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 ...
Arunwan Boripan +2 more
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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 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)].
Morteza Esmaeili, S. Yari
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On the minimum weights of binary linear complementary dual codes [PDF]
Cryptography and Communications, 2019 Linear complementary dual codes (or codes with complementary duals) are codes whose intersections with their dual codes are trivial. We study the largest minimum weight $d(n,k)$ among all binary linear complementary dual $[n,k]$ codes. We determine $d(n,4)$ for $n \equiv 2,3,4,5,6,9,10,13 \pmod{15}$, and $d(n,5)$ for $n \equiv 3,4,5,7,11,19,20,22,26 ...
Makoto Araya, Masaaki Harada
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On complementary dual additive cyclic codes
Advances in Mathematics of Communications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cem Güneri +2 more
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Topological quantum codes from self-complementary self-dual graphs
Quantum Information Processing, 2015 In this paper we present two new classes of binary quantum codes with minimum distance of at least three, by self-complementary self-dual orientable embeddings of voltage graphs and Paley graphs in the Galois field GF(pr), where p is a prime number and r
Avaz Naghipour, S Shahmorad
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Linear Complementary Dual Codes and Linear Complementary Pairs of AG Codes in Function Fields
IEEE Transactions on Information TheoryIn recent years, linear complementary pairs (LCP) of codes and linear complementary dual (LCD) codes have gained significant attention due to their applications in coding theory and cryptography. In this work, we construct explicit LCPs of codes and LCD codes from function fields of genus $g \geq 1$.
Alonso S Castellanos, Luciane Quoos
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On Z₂Z₂[u³]-Additive Cyclic and Complementary Dual Codes
IEEE Access, 2021 Aydogdu et al. studied the standard forms of generator and parity-check matrices of $\mathbb {Z}_{2}\mathbb {Z}_{2}[u^{3}]$ -additive codes, and presented generators of $\mathbb {Z}_{2}\mathbb {Z}_{2}[u^{3}]$ -additive cyclic codes (Finite Fields Appl.
Xiaotong Hou, Xiangrui Meng, Jian Gao
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Connections between Linear Complementary Dual Codes, Permanents and Geometry
Mathematics, 2023 Linear codes with complementary duals, or LCD codes, have recently been applied to side-channel and fault injection attack-resistant cryptographic countermeasures.
Adel N. Alahmadi +5 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established ...
Castillo-Guillén C. A. +1 more
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