Results 11 to 20 of about 2,432,274 (184)

Polyadic Constacyclic Codes [PDF]

IEEE Transactions on Information Theory, 2014
For any given positive integer $m$, a necessary and sufficient condition for the existence of Type I $m$-adic constacyclic codes is given. Further, for any given integer $s$, a necessary and sufficient condition for $s$ to be a multiplier of a Type I ...
Chen, Bocong, Dinh, Hai Q., Fan, Yun, Ling, San   +3 more
core   +3 more sources

Application of Constacyclic codes to Quantum MDS Codes [PDF]

IEEE Transactions on Information Theory, 2014
Quantum maximal-distance-separable (MDS) codes form an important class of quantum codes. To get $q$-ary quantum MDS codes, it suffices to find linear MDS codes $C$ over $\mathbb{F}_{q^2}$ satisfying $C^{\perp_H}\subseteq C$ by the Hermitian construction ...
Chen, Bocong, Ling, San, Zhang, Guanghui
core   +3 more sources

(1 + u)-Constacyclic codes over Z 4 + uZ 4. [PDF]

Springerplus, 2016
Yu H, Wang Y, Shi M.
europepmc   +3 more sources

Some Constacyclic Codes over Finite Chain Rings [PDF]

Advances in Mathematics of Communications, 2012
For $\lambda$ an $n$-th power of a unit in a finite chain ring we prove that $\lambda$-constacyclic repeated-root codes over some finite chain rings are equivalent to cyclic codes. This allows us to simplify the structure of some constacylic codes.
Batoul, Aicha, Guenda, Kenza, Gulliver, T. Aaron   +2 more
core   +4 more sources

New upper bounds on the number of non-zero weights of constacyclic codes [PDF]

Discrete Mathematics
For any simple-root constacyclic code $\mathcal{C}$ over a finite field $\mathbb{F}_q$, as far as we know, the group $\mathcal{G}$ generated by the multiplier, the constacyclic shift and the scalar multiplications is the largest subgroup of the ...
Li Chen, Yuqing Fu, Hongwei Liu
openalex   +2 more sources

Quantum Codes as an Application of Constacyclic Codes

Axioms
The main focus of this paper is to analyze the algebraic structure of constacyclic codes over the ring R=Fp+w1Fp+w2Fp+w22Fp+w1w2Fp+w1w22Fp, where w12−α2=0, w1w2=w2w1, w23−β2w2=0, and α,β∈Fp∖{0}, for a prime p.
Mohd Arif Raza, Mohammad Fareed Ahmad, Adel Alahmadi, Widyan Basaffar, Manish K. Gupta, Nadeem ur Rehman, Abdul Nadim Khan, Hatoon Shoaib, Patrick Sole   +8 more
doaj   +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   +2 more sources

Galois Self-Dual Constacyclic Codes [PDF]

Designs, Codes and Cryptography, 2015
Key words: Constacyclic code, Galois inner product, $q$-coset function, isometry, Galois self-dual ...
Yun Fan, Liang Zgang
openalex   +4 more sources

$\lambda$-CONSTACYCLIC CODES OVER FINITE KRASNER HYPERFIELDS [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2022
The class of constacyclic codes plays an important role in the theory or error-correcting codes. They are considered as a remarkable generalization of cyclic codes.  In this paper, we study constacyclic codes over finite Krasner hyperfields in which we characterize them by their generating polynomial.
M. Al Tahan, Bijan Davvaz
openalex   +2 more sources

A class of constacyclic codes of length 2pˢ over Fp^m[u,v] / ⟨u², v², uv − vu⟩

Gulf Journal of Mathematics
Let p be an odd prime number. This paper investigates λ-constacyclic codes of length 2ps over the ring Rᵤ,ᵥ = Fpm[u,v] / ⟨u², v², uv − vu⟩, where λ = ψ + ρu + ηv + τuv, with ψ, ρ, η, τ ∈ Fpm, ψ ∈ F*pm, and ρ, η not both zero.
Youssef Ahendouz, Ismail Akharraz
openalex   +3 more sources