Results 21 to 30 of about 533,291 (281)
An explicit construction of quantum codes from one-generator generalized quasi-cyclic codes [PDF]
MATEC Web of Conferences, 2021 In this paper, we take advantage of a class of one-generator generalized quasi-cyclic (GQC) codes of index 2 to construct quantum error-correcting codes.
Yao Yu, Ma Yuena, Li Husheng, Lv Jingjie
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A Note on the Dual Codes of Module Skew Codes [PDF]
, 2011 In [4], starting from an automorphism θ of a finite field ${\mathbb F}_q$ and a skew polynomial ring $R={\mathbb F}_q[X;\theta]$ , module θ -codes are defined as left R -submodules of R /Rf where f ∈R . In [4] it is conjectured that an Euclidean self-dual module θ -code is a θ -constacyclic code and a proof is given in the special ...
Boucher, Delphine, Ulmer, Félix
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Classification of quaternary Hermitian self-dual codes of length 20 [PDF]
, 2010 A classification of quaternary Hermitian self-dual codes of length 20 is given. Using this classification, a classification of extremal quaternary Hermitian self-dual codes of length 22 is also given.Comment: 9 pages.
Harada, Masaaki, Munemasa, Akihiro
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On complementary dual multinegacirculant codes
Cryptography and Communications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adel Alahmadi +4 more
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Entropy, 2020 A new class of convolutional codes, called skew convolutional codes, that extends the class of classical fixed convolutional codes, is proposed.
Vladimir Sidorenko +3 more
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On involutions in extremal self-dual codes and the dual distance of semi self-dual codes
Finite Fields and Their Applications, 2015 12 ...
Martino Borello, Gabriele Nebe
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Near-Extremal Type I Self-Dual Codes with Minimal Shadow over GF(2) and GF(4)
Information, 2018 Binary self-dual codes and additive self-dual codes over GF(4) contain common points. Both have Type I codes and Type II codes, as well as shadow codes. In this paper, we provide a comprehensive description of extremal and near-extremal Type I codes over
Sunghyu Han
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Polycyclic Codes and Their Application in Constructing AEAQECCs
AxiomsIn this article, we study polycyclic codes over the ring R=Fq[v]/⟨v2−1⟩, where q=pm with p being an odd prime. First, we introduce polycyclic codes and sequential codes over R, and characterize the structural properties of these polycyclic codes.
Juan Li, Yunbo Tian, Fanghui Ma
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Sultan Qaboos University Journal for Science, 2009 The group of characters of an elementary Abelian group has been used to define duality between its subgroups, which in turn is extended to duality between group codes.
Adnan Abdulla Zain
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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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