Results 71 to 80 of about 2,432,274 (184)

Constacyclic Codes over $F_p+vF_p$

, 2013
In this paper, we study constacyclic codes over $F_p+vF_p$, where $p$ is an odd prime and $v^2=v$. The polynomial generators of all constacyclic codes over $F_p+vF_p$ are characterized and their dual codes are also determined.
Zhang, Guanghui, Chen, Bocong
openaire   +2 more sources

Quasi-twisted codes with constacyclic constituent codes

Finite Fields and Their Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Minjia, Zhang, Yiping
openaire   +2 more sources

γ-Dual Codes over Finite Commutative Chain Rings

Axioms
In this article, the notion of γ-dual codes over finite chain rings is introduced as an extension of dual codes over finite chain rings. Various characteristics and properties of γ-dual codes over finite chain rings are explored.
Hai Q. Dinh, Hiep L. Thi, Roengchai Tansuchat   +2 more
doaj   +1 more source

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
core  

The polycyclic codes over the finite field $ \mathbb{F}_q $

AIMS Mathematics
This article extended the properties of the idempotent generator of cyclic codes to polycyclic codes over the finite field $ \mathbb{F}_q $. In addition, the check matrix of polycyclic codes was provided over $ \mathbb{F}_q $.
Wei Qi
doaj   +1 more source

Construction of New Matrix-Product Codes and Their Applications

IEEE Access, 2019
In this paper, from special code chains $\mathcal {C}_{1} \supseteq \mathcal {C}_{2}~\supseteq \mathcal {C}_{3}$ such that $\mathcal {C}^{\bot _{h}}_{1}\subseteq \mathcal {C}_{3}$ and $\mathcal {C}^{\bot _{h}}_{2}\subseteq \mathcal {C}_{2}$ , some ...
Hao Song, Ruihu Li, Junli Wang, Jingjie Lv   +3 more
doaj   +1 more source

On $\\mathbb{Z}_4\\mathbb{Z}_4[u^3]$-additive constacyclic codes

, 2022
Habibul Islam, Om Prakash, Patrick Solé, Solé, Patrick   +3 more
openalex   +2 more sources

Hamming and Symbol-Pair Distances of Constacyclic Codes of Length 2ps over 𝔽pm[u, v]/⟨ u2, v2, uv-vu⟩ [PDF]

Symmetry
Let R=Fpm[u,v]⟨u2,v2,uv−vu⟩, where p is an odd prime and m is a positive integer. For a unit α in R, α-constacyclic codes of length 2ps over R are ideals of R[x]⟨x2ps−α⟩, where s is a positive integer. The structure of α-constacyclic codes are classified
Divya Acharya, Prasanna Poojary, Vadiraja G. R. Bhatta   +2 more
semanticscholar   +1 more source

Gray Images of Constacyclic Codes Over Some Polynomial Residue Rings

پژوهش‌های ریاضی, 2021
Let  be the quotient ring    where  is the finite field of size   and  is a positive integer. A Gray map  of length  over  is a special map from  to ( .
Reza Sobhani
doaj  

Skew constacyclic codes over finite chain rings

Advances in Mathematics of Communications, 2012
Skew polynomial rings over finite fields ([7] and [10]) and over Galois rings ([8]) have been used to study codes. In this paper, we extend this concept to finite chain rings. Properties of skew constacyclic codes generated by monic right divisors of $x^n- $, where $ $ is a unit element, are exhibited.
Jitman, Somphong, Ling, San, Udomkavanich, Patanee   +2 more
openaire   +2 more sources