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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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A note on the duals of skew constacyclic codes
CoRR, 2016 Let $\mathbb{F}_q$ be a finite field with $q$ elements and denote by $θ: \mathbb{F}_q\to\mathbb{F}_q$ an automorphism of $\mathbb{F}_q$. In this paper, we deal with skew constacyclic codes, that is, linear codes of $\mathbb{F}_q^n$ which are invariant under the action of a semi-linear map $Φ_{α,θ}:\mathbb{F}_q^n\to\mathbb{F}_q^n$, defined by $Φ_{α,θ ...
Alexis Eduardo Almendras Valdebenito +1 more
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On ZpZp[u, v]-additive cyclic and constacyclic codes
, 2019 Let $\mathbb{Z}_{p}$ be the ring of residue classes modulo a prime $p$. The $\mathbb{Z}_{p}\mathbb{Z}_{p}[u,v]$-additive cyclic codes of length $(\alpha,\beta)$ is identify as $\mathbb{Z}_{p}[u,v][x]$-submodule of $\mathbb{Z}_{p}[x]/\langle x^{\alpha}-1 ...
Islam, Habibul, Prakash, Om
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$m$-adic residue codes over $\mathbb{F}_q[v]/(v^s-v)$
, 2018 Due to their rich algebraic structure, cyclic codes have a great deal of significance amongst linear codes. Duadic codes are the generalization of the quadratic residue codes, a special case of cyclic codes.
Koroglu, Mehmet E. +2 more
core
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New quantum codes from constacyclic and additive constacyclic codes
Quantum Information Processing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Habibul Islam, Om Prakash, Om Prakash
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A class of constacyclic BCH codes
Cryptography and Communications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhonghua Sun 0001, Shixin Zhu, Liqi Wang
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New quantum constacyclic codes
Quantum Information Processing, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruihu Li +3 more
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On the construction of quantum constacyclic codes
Designs, Codes and Cryptography, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jian Yuan +3 more
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IEEE Transactions on Information Theory, 1994
Summary: A class of \(q^ m\)-ary constacyclic codes is defined which has the property that the \(q\)-ary image is equivalent to a class of shortened cyclic codes. This description leads to the construction of nonlinear codes. As an example one can construct nonlinear codes of length \(N= q^ m+1\) over the field \(\text{GF} (q^{m'})\), \(m'\leq m ...
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Summary: A class of \(q^ m\)-ary constacyclic codes is defined which has the property that the \(q\)-ary image is equivalent to a class of shortened cyclic codes. This description leads to the construction of nonlinear codes. As an example one can construct nonlinear codes of length \(N= q^ m+1\) over the field \(\text{GF} (q^{m'})\), \(m'\leq m ...
openaire +2 more sources