Results 21 to 30 of about 154,729 (273)
Quantum Codes Obtained From Constacyclic Codes Over a Family of Finite Rings Fp[u₁, u₂, …, us]
IEEE Access, 2020 In this article, we construct some MDS quantum error-correcting codes (QECCs) from classes of constacyclic codes over Rs = Fp + u1Fp + ··· + usFp, ui2 = ui, uiuj = ujui = 0, for odd prime p and i, j = 1, 2,⋯, s, i ≠ j ...
Hai Q. Dinh +4 more
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On Squares of Cyclic Codes [PDF]
IEEE Transactions on Information Theory, 2019 The square $C^{*2}$ of a linear error correcting code $C$ is the linear code spanned by the component-wise products of every pair of (non-necessarily distinct) words in $C$. Squares of codes have gained attention for several applications mainly in the area of cryptography, and typically in those applications one is concerned about some of the ...
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Self-Dual Cyclic Codes Over M2(ℤ4)
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we study the structure of cyclic codes overM2(ℤ4) (the matrix ring of matrices of order 2 over ℤ4), which is perhaps the first time that the ring is considered as a code alphabet.
Bhowmick Sanjit +3 more
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Skew Cyclic codes over $\F_q+u\F_q+v\F_q+uv\F_q$ [PDF]
, 2015 In this paper, we study skew cyclic codes over the ring $R=\F_q+u\F_q+v\F_q+uv\F_q$, where $u^{2}=u,v^{2}=v,uv=vu$, $q=p^{m}$ and $p$ is an odd prime. We investigate the structural properties of skew cyclic codes over $R$ through a decomposition theorem.
Shi, Minjia, Solé, Patrick, Yao, Ting
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Cyclic and Quasi-Cyclic DNA Codes
CoRR, 2021 draft, 16 ...
Adel Alahmadi +4 more
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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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Double Cyclic Codes over \({\mathbb{F}_{q}+v\mathbb{F}_{q}}\)
Mathematics, 2020 In this paper, an algebraic structure of a type of double cyclic codes is investigated, which covers some existing codes as special cases. The paper presents generic results about the generating polynomials, minimal generating sets, matrices and dual ...
Tenghui Deng, Jing Yang
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On the codes over the Z_3+vZ_3+v^2Z_3
, 2015 In this paper, we study the structure of cyclic, quasi-cyclic, constacyclic codes and their skew codes over the finite ring R=Z_3+vZ_3+v^2Z_3, v^3=v. The Gray images of cyclic, quasi-cyclic, skew cyclic, skew quasi-cyclic and skew constacyclic codes over
Cengellenmis, Yasein +2 more
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p-Adic estimates of Hamming weights in Abelian codes over Galois rings [PDF]
, 2006 A generalization of McEliece's theorem on the p-adic valuation of Hamming weights of words in cyclic codes is proved in this paper by means of counting polynomial techniques introduced by Wilson along with a technique known as trace-averaging introduced ...
Katz, Daniel J.
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Indecomposability of cyclic codes
Discrete Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoshimi Kashiwagi, Isao Kikumasa
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