Results 61 to 70 of about 1,045 (128)
Some New Classes of Entanglement-Assisted Quantum MDS Codes Derived From Constacyclic Codes
IEEE Access, 2019 Although quantum maximal-distance-separable (MDS) codes that satisfy the quantum singleton bound have become an important research topic in the quantum coding theory, it is not an easy task to search for quantum MDS codes with the minimum distance that ...
Jianzhang Chen +4 more
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The Galois variance of constacyclic codes
Finite Fields and Their Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Constacyclic codes over 𝔽pm[u1, u2,⋯,uk]/〈 ui2 = ui, uiuj = ujui〉
Open Mathematics, 2018 In this paper, we study linear codes over ring Rk = 𝔽pm[u1, u2,⋯,uk]/〈ui2$\begin{array}{} u^{2}_{i} \end{array} $ = ui, uiuj = ujui〉 where k ≥ 1 and 1 ≤ i, j ≤ k.
Zheng Xiying, Kong Bo
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Applications of Constacyclic Codes to Some New Entanglement-Assisted Quantum MDS Codes
IEEE Access, 2019 Generally, it is not easy to construct quantum maximal-distance-separable (MDS) codes with the minimum distance greater than $\frac {q}{2}+1$ . The minimum distance of quantum MDS codes can achieve $\frac {q}{2}+1$ or exceed $\frac {q}{2}+1$ by ...
Jianzhang Chen +5 more
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A q-polynomial approach to constacyclic codes
Finite Fields and Their Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weijun Fang +2 more
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New quantum codes from skew constacyclic codes
Advances in Mathematics of Communications, 2023 In the paper under review, the authors construct quantum codes from skew constacyclic codes over the finite commutative non-chain ring of order \(p^{2^{\ell} m}\) with characteristic odd prime \(p\): \[ R_{\ell,m} = \mathbb{F}_{p^m}[v_1,v_2,\dots,v_{\ell}]/\langle v^2_i-1, v_iv_j-v_jv_i\rangle_{1\leq i, j\leq \ell}, \] where \(m\) and \(\ell\) are ...
Ram Krishna Verma +3 more
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Quasi-twisted codes with constacyclic constituent codes
Finite Fields and Their Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minjia Shi, Yiping Zhang
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A class of constacyclic codes over Zpm
Finite Fields and Their Applications, 2021 AbstractWe study (1+λp)-constacyclic codes over Zpm of an arbitrary length, where λ is a unit of Zpm and m⩾2 is a positive integer. We first derive the structure of (1+λp)-constacyclic codes of length ps over GR(pm,a) and determine the Hamming and homogeneous distances of such constacyclic codes.
Shixin Zhu, Xiaoshan Kai
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet S = ℤp[u, v]/〈u2, v2, uv − uv〉 be a semi-local ring, where p is a prime number. In the present article, we determine the generating sets of S and use them to construct the structures of ℤpS-additive cyclic and constacyclic codes.
Ashraf Mohammad +3 more
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γ-Dual Codes over Finite Commutative Chain Rings
AxiomsIn this article, the notion of γ-dual codes over finite chain rings is introduced as an extension of dual codes over finite chain rings. Various characteristics and properties of γ-dual codes over finite chain rings are explored.
Hai Q. Dinh +2 more
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