Results 31 to 40 of about 374,444 (257)
Reversible Self-Dual Codes Over the Ring F2 +
IEEE AccessIn this study, we introduce bisymmetric self-dual codes over the finite field ${\mathbb F}_{2}$ of order two. We developed a method to generate binary bisymmetric self-dual codes from a small-length bisymmetric self-dual code by increasing its length ...
Hyun Jin Kim, Whan-Hyuk Choi
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Unique Generators for Cyclic Codes of Arbitrary Length over Fpmu/u3 and Their Applications
Journal of Mathematics, 2022 Cyclic codes play a very important role in the history of coding theory since they have good algebraic structures that can be widely used in coding and decoding.
Hongju Li +3 more
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Hermitian Rank Metric Codes and Duality
IEEE Access, 2021 In this paper we define and study rank metric codes endowed with a Hermitian form. We analyze the duality for $\mathbb {F}_{q^{2}}$ -linear matrix codes in the ambient space $(\mathbb {F}_{q^{2}})_{n,m}$ and for both $\mathbb {F}_{q^{2}}$ -additive ...
Javier De La Cruz +2 more
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Triorthogonal codes and self-dual codes
Quantum Information Processing21 ...
Shi, Minjia +3 more
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On Self-Dual Four Circulant Codes [PDF]
International Journal of Foundations of Computer Science, 2018 Four circulant codes form a special class of [Formula: see text]-generator, index [Formula: see text], quasi-cyclic codes. Under some conditions on their generator matrix they can be shown to be self-dual. Artin primitive root conjecture shows the existence of an infinite subclass of these codes satisfying a modified Gilbert–Varshamov bound.
Shi, Minjia +3 more
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The [72,36] Type 11 Self Dual Codes from Hadamard Matrices
Davao Research Journal, 2001 Consider a code [n,k,d] of length n, dimension k and of minimum distance d. Let R be a rate defined by the equation R = k/n. Mathematically, the main problem of coding theory is to find codes with large R (for efficiency) and large d (to correct many ...
Rowena Baylon-Cabrizos
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Graph-Based Classification of Self-Dual Additive Codes over Finite Fields
, 2008 Quantum stabilizer states over GF(m) can be represented as self-dual additive codes over GF(m^2). These codes can be represented as weighted graphs, and orbits of graphs under the generalized local complementation operation correspond to equivalence ...
Danielsen, Lars Eirik
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Group rings, G-codes and constructions of self-dual and formally self-dual codes [PDF]
Designs, Codes and Cryptography, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dougherty, Steven +3 more
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MDR codes and self-dual codes on Cartesian product codes
Tongxin xuebao, 2010 A Cartesian product code of the linear codes C1 , , C s in 1 , ,Z r Z rs was defined. According to the theorem of submodulo isomorphism, the relationship between the rank of the Cartesian product code C1 × C 2 × × Cs over Z r1 × Z r2 × × Zrsand C1 , C 2,
LIU Xiu-sheng
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Enumeration of Self-Dual Codes of Length 6 over ℤp
Mathematics, 2019 The purpose of this paper is to classify and enumerate self-dual codes of length 6 over finite field Z p .
Whan-Hyuk Choi
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