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Repeated Root Cyclic and Negacyclic Codes over Galois Rings
2009In this notice we describe the ideal structure of all cases of cyclic and negacyclic codes of length p s over a Galois ring alphabet that have not yet been discussed in the literature. Unlike in the cases reported earlier in the literature by various authors, the ambient spaces here are never chain rings.
Sergio R. López-Permouth, Steve Szabo
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Repeated-root constacyclic codes of length ℓ t p s and their dual codes
Cryptography and Communications, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Structure of repeated-root constacyclic codes of length 8ℓmpn
Asian-European Journal of Mathematics, 2019Constacyclic codes form an important class of linear codes which is remarkable generalization of cyclic and negacyclic codes. In this paper, we assume that [Formula: see text] is the finite field of order [Formula: see text] where [Formula: see text] is a power of the prime [Formula: see text] and [Formula: see text] are distinct odd primes, and ...
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A Special Class of Repeated-Root Constacyclic Codes
Asian Journal of Mathematics and Computer ResearchLet \(\mathbb{F}\)q be a finite field with q elements where q be a prime power. Among the classes of constacyclic codes of length 5ℓps over \(\mathbb{F}\)q we define an equivalence relation such that the classes of constacyclic codes which have the same structure are viewed to be equivalent.
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REPEATED-ROOT CONSTACYCLIC CODES OVER F3+uF3+uvF3
Far East Journal of Mathematical Sciences (FJMS), 2019Sorasit Boonma +2 more
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New MDS symbol-pair codes of length 4p from repeated-root cyclic codes
Applicable Algebra in Engineering, Communication and ComputingXiujing Zheng, Liqi Wang
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