Results 41 to 50 of about 2,432,274 (184)
Hamming Distance of Constacyclic Codes of Length
IEEE Access, 2021 Let $p$ be any prime, $s$ and $m$ be positive integers. In this paper, we completely determine the Hamming distance of all constacyclic codes of length $p^s$ over the finite commutative chain ring $\mathbb {F}_{p^m}+ u\mathbb {F}_{p^m} + u^{2 ...
Hai Q. Dinh +3 more
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On the Hamming Distances of Constacyclic Codes of Length 5
IEEE Access, 2020 Let $p$ be a prime, $s$ , $m$ be positive integers, and $\lambda $ be a nonzero element of the finite field $\mathbb {F}_{p^{m}}$ . In this paper, the algebraic structures of constacyclic codes of length $5~p^{s}~(p\neq 5)$ are obtained, which ...
Hai Q. Dinh +2 more
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The Depth Distribution of Constacyclic Codes Over
IEEE Access, 2018 The depth distribution of a linear code was put forward by Etzion as a new characterization for linear codes. The previously known results pay close attention to the depth distribution of the linear codes over chain rings.
Guanghui Zhang
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Repeated-root constacyclic codes of length $ p_1p_2^t p^s $ and their dual codes
AIMS Mathematics, 2023 Let $ \mathbb{F}_q $ be the finite field with $ q = p^{k} $ elements, and $ p_{1}, p_{2} $ be two distinct prime numbers different from $ p $. In this paper, we first calculate all the $ q $-cyclotomic cosets modulo $ p_1p_2^t $ as a preparation for the ...
Hongfeng Wu, Li Zhu
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On Symbol-Pair Distance of a Class of Constacyclic Codes of Length 3ps over
Axioms, 2023 Let p≠3 be any prime. In this paper, we compute symbol-pair distance of all γ-constacyclic codes of length 3ps over the finite commutative chain ring R=Fpm+uFpm, where γ is a unit of R which is not a cube in Fpm.
Hai Q. Dinh +2 more
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On the codes over the Z_3+vZ_3+v^2Z_3
, 2015 In this paper, we study the structure of cyclic, quasi-cyclic, constacyclic codes and their skew codes over the finite ring R=Z_3+vZ_3+v^2Z_3, v^3=v. The Gray images of cyclic, quasi-cyclic, skew cyclic, skew quasi-cyclic and skew constacyclic codes over
Cengellenmis, Yasein +2 more
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Constacyclic codes as invariant subspaces
Linear Algebra and its Applications, 2009 A constacyclic code (sometimes also referred to as pseudo-cyclic code) is a linear code over a field GF\((q)\) invariant under the permutation \(\psi_a:\) \((c_0,c_1\ldots,c_{n-1})\mapsto (ac_{n-1},c_0,c_1\ldots,c_{n-1})\) (for a fixed field element \(a\)). (In the introduction of the article the definition is not correct).
Radkova, D., van Zanten, A.J.
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Constacyclic Codes over Finite Chain Rings of Characteristic p
Axioms, 2021 Let R be a finite commutative chain ring of characteristic p with invariants p,r, and k. In this paper, we study λ-constacyclic codes of an arbitrary length N over R, where λ is a unit of R.
Sami Alabiad, Yousef Alkhamees
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Finite Fields and Their Applications, 2016 Cyclic codes are a well-known class of linear block codes with efficient decoding algorithms. In recent years they have been generalized to skew-constacyclic codes; such a generalization has previously been shown to be useful. We begin with a study of skew-polynomial rings so that we may examine these codes algebraically as quotient modules of non ...
Fogarty, Neville +1 more
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