Results 51 to 60 of about 1,045 (128)
On Gray Images of Constacyclic Codes
ITM Web of Conferences, 2018 This paper deals with constacyclic codes over a new ring. Gray images of these codes over those rings are obtained. The relations between these codes and their Gray images are given.
Özkan Mustafa, Öke Figen
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On Linear Perfect b-Symbol Codes over Finite Fields
Mathematics, 2023 Motivated by the application of high-density data storage technologies, Cassuto and Blaum introduced codes for symbol-pair read channels in 2011, and Yaakobi et al. generalized the coding framework to that for b-symbol read channels where b≥2 in 2016. In
Kanat Abdukhalikov +2 more
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Properties of constacyclic codes under the Schur product [PDF]
Designs, Codes and Cryptography, 2020 24 pages, 2 figures, acknowledgements ...
Brett Hemenway Falk +2 more
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DNA codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 A one to one correspondence between the elements of a finite local Frobenius non-chain ring of length 5 and nilpotency index 4, and k-tuples of DNA codewords is established.
Castillo-Guillén C. A. +1 more
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On the construction of constacyclically permutable codes from constacyclic codes
AIMS Mathematics<abstract><p>In this paper, we propose a way to partition any constacyclic code over a finite field in its equivalence classes according to the algebraic structure of the code. Such a method gives the generalization of cyclically permutable codes (CPCs), which are called constacyclically permutable codes (CCPCs), and it is useful to derive ...
Guanghui Zhang, Shuhua Liang
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Constacyclic codes over 𝔽q𝒮𝒯 and their applications
AKCE International Journal of Graphs and CombinatoricsLet [Formula: see text], where p is an odd prime and r is a positive integer. Consider a ring [Formula: see text], where [Formula: see text] with [Formula: see text] and [Formula: see text] with [Formula: see text].
Amal S. Alali +3 more
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Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p5 elements (p a prime) and nilpotency index 4 are given.
Castillo-Guillén C. A. +1 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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Constacyclic codes over finite fields
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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