Results 11 to 20 of about 513,670 (123)
A circulant approach to skew-constacyclic codes [PDF]
Finite Fields and Their Applications, 2015 We introduce circulant matrices that capture the structure of a skew-polynomial ring F[x;θ] modulo the left ideal generated by a polynomial of the type x^n-a. This allows us to develop an approach to skew-constacyclic codes based on such circulants.
Neville Fogarty, Heide Gluesing-Luerssen
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Constacyclic codes over finite fields [PDF]
Finite Fields and Their Applications, 2012 An equivalence relation called isometry is introduced to classify constacyclic codes over a finite field; the polynomial generators of constacyclic codes of length $\ell^tp^s$ are characterized, where $p$ is the characteristic of the finite field and $\ell$ is a prime different from $p$.
Bocong Chen +3 more
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Several families of irreducible constacyclic and cyclic codes
Designs, Codes and Cryptography, 2023 In this paper, several families of irreducible constacyclic codes over finite fields and their duals are studied. The weight distributions of these irreducible constacyclic codes and the parameters of their duals are settled. Several families of irreducible constacyclic codes with a few weights and several families of optimal constacyclic codes are ...
Zhonghua Sun 0001 +2 more
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A class of constacyclic codes over Zpm [PDF]
Finite Fields and Their Applications, 2010 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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Quantum Codes as an Application of Constacyclic Codes
AxiomsThe main focus of this paper is to analyze the algebraic structure of constacyclic codes over the ring R=Fp+w1Fp+w2Fp+w22Fp+w1w2Fp+w1w22Fp, where w12−α2=0, w1w2=w2w1, w23−β2w2=0, and α,β∈Fp∖{0}, for a prime p. We begin by introducing a Gray map defined over R, which is associated with an invertible matrix.
Raza, Mohd +8 more
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A new family of EAQMDS codes constructed from constacyclic codes
, 2021 In this paper, a family of new entanglement-assisted quantum error-correcting codes (EAQECCs) is constructed from constacyclic codes with length n=q2+1a by giving a new method to select defining sets, where a= m2+ 1 , m> 2 is even and q is an odd prime ...
Chen, Xiaojing +3 more
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Linear complementary pairs of skew constacyclic codes [PDF]
, 2023 Linear complementary pairs (LCPs) of codes have been studied since they were introduced in the context of discussing mitigation measures against possible hardware attacks to integrated circuits. Since the security parameters for LCPs of codes are defined
Muñoz, José Manuel, Lobillo, F. J.
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Two Classes of Constacyclic Codes with Variable Parameters
, 2023 Constacyclic codes over finite fields are a family of linear codes and contain cyclic codes as a subclass. Constacyclic codes are closely related to many areas of mathematics and outperform cyclic codes in several aspects.
Ding, Cunsheng +2 more
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Quantum Codes Obtained through Constacyclic Codes Over
, 2021 The structural properties and construction of quantum codes over using Constacyclic codes over the finite commutative non-chain ring = where are the focus of htis paperand is field having elements with characteristic p ...
Jagbir Singh, Prateek Mor
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On the dual codes of skew constacyclic codes
Advances in Mathematics of Communications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexis Eduardo Almendras Valdebenito +1 more
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