Results 31 to 40 of about 1,535,218 (92)

A tight upper bound on the number of non-zero weights of a constacyclic code [PDF]

, 2023
For a simple-root $\lambda$-constacyclic code $\mathcal{C}$ over $\mathbb{F}_q$, let $\langle\rho\rangle$ and $\langle\rho,M\rangle$ be the subgroups of the automorphism group of $\mathcal{C}$ generated by the cyclic shift $\rho$, and by the cyclic shift
Zhang, Hanglong, Cao, Xiwang
core   +1 more source

On Skew-Constacyclic Codes [PDF]

, 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.
Fogarty, Neville Lyons
core   +1 more source

A note on constacyclic and skew constacyclic codes over the ring $\mathbb{Z}_{p} [u,v]/\langle u^2-u,v^2-v,uv-vu\rangle$

, 2019
For odd prime $p$, this paper studies $(1+(p-2)u)$-constacyclic codes over the ring $R= \mathbb{Z}_{p} [u,v]/\langle u^2-u,v^2-v,uv-vu\rangle$. We show that the Gray images of $(1+(p-2)u)$-constacyclic codes over $R$ are cyclic and permutation equivalent
Om PRAKASH, Ashish K. UPADHYAY, Prakash, Om, Tushar BAG, Bag, Tushar, Islam, Habibul, Upadhyay, Ashish K., Habibul ISLAM   +7 more
core   +1 more source

Negacyclic and Constacyclic Codes Over Finite Chain Rings [PDF]

, 2008
The negashift ν of Z4n is defined as the permeation of Z4n such that ν(a0, a1, ...., ai, ...., an-1)= (-an-1, a0, ...., ai, ....an-2) and negacyclic code of length n over Z4 is defined as a subset C of Z4n such that ν(C) = C. We prove that the Gray image
Abu Dahrouj, Faisal Mohammed
core  

Type-II polyadic constacyclic codes over finite fields

, 2022
Polyadic constacyclic codes over finite fields have been of interest due to their nice algebraic structures, good parameters, and wide applications. Recently, the study of Type-I m-adic constacyclic codes over finite fields has been established. In this
Jitman, Somphong, Ling, San, Tharnnukhroh, Jareena   +2 more
core   +1 more source

APPLICATION OF CONSTACYCLIC CODES OVER THE SEMI LOCAL RING Fpm + vFpm

, 2020
In this paper, we study the quantum codes over , which are obtained from (lambda(1) + lambda(2))-constacyclic codes over the semi local ring , where v(2) = 1, p is odd prime.
Cengellenmis, Yasemin, Bag, Tushar, Dertli, Abdullah, Upadhyay, Ashish K.   +3 more
core   +1 more source

Quantum Constacyclic BCH Codes over Qudits: A Spectral-Domain Approach [PDF]

We characterize constacyclic codes in the spectral domain using the finite field Fourier transform (FFFT) and propose a reduced complexity method for the spectral-domain decoder. Further, we also consider repeated-root constacyclic codes and characterize
Garani, Shayan Srinivasa, Patel, Shikha
core   +1 more source

Structure and Enumeration of Constacyclic Codes over Cube-Zero Local Rings of Order q⁵

Mathematics
We investigate λ-constacyclic codes of length n over finite commutative local rings R of characteristic p and order q5, where q=pm is an odd prime power, whose Jacobson radical N satisfies N3=0≠N2, under the coprimality condition gcd(n,p)=1.
Sami H. Saif, Shayea Aldossari
doaj   +1 more source

Repeated-Root Constacyclic Codes of Length np^s from Half-Cyclotomic Defining Sets

Mathematics
Repeated-root constacyclic codes form an important class of algebraic error-correcting codes, combining the cyclic symmetry of constacyclic codes with the additional multiplicity structure produced by repeated roots.
Alhanouf Ali Alhomaidhi, Sami H. Saif
doaj   +1 more source

On constacyclic codes over a class of non-chain rings [PDF]

In this paper, a unique form of generators of a constacyclic code of arbitrary length over a non-chain ring of the type $\mathtt{R_{_θ}}=Z_{4}+νZ_{4}, ν^{2}=θ\in Z_{4}+νZ_{4}$ has been obtained.
Jain, Nikita, Sehmi, Ranjeet, Dutt, Sucheta   +2 more
core   +1 more source