Results 61 to 70 of about 1,030 (123)

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

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  

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  

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

Skew Cyclic and Skew Constacyclic Codes over a Mixed Alphabet

Axioms
In this note, we study skew cyclic and skew constacyclic codes over the mixed alphabet R=FqR1R2, where q=pm, p is an odd prime with m odd and R1=Fq+uFq with u2=u, and R2=Fq+uFq+vFq with u2=u,v2=v,uv=vu=0.
Karthick Gowdhaman, Cruz Mohan, Chinnapillai Durairajan, Selda Çalkavur, Patrick Solé   +4 more
doaj   +1 more source

Entanglement-Assisted Quantum Codes from Cyclic Codes. [PDF]

Entropy (Basel), 2022
Pereira FRF, Mancini S.
europepmc   +1 more source

Some New Quantum BCH Codes over Finite Fields. [PDF]

Entropy (Basel), 2021
Xing L, Li Z.
europepmc   +1 more source

A q-polynomial approach to constacyclic codes

Finite Fields and Their Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang, Weijun, Wen, Jiejing, Fu, Fang-Wei
openaire   +1 more source

F_p R – Linear Skew Constacyclic Codes

Afyon Kocatepe University Journal of Sciences and Engineering
In this paper, we study a special class of linear codes, called skew constacyclic codes, over the ring F_p R, where R=F_p+vF_p, p is an odd prime number and v^2=v. These codes are defined as a subset of the ring F_p^m R^n. For an automorphism θ of R, we investigate the structural properties of skew polynomial ring R[x,θ].
openaire   +3 more sources