Results 131 to 140 of about 2,432,274 (184)

New linear codes from constacyclic codes

Journal of the Franklin Institute, 2014
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Nuh Aydin, John M. Murphree
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On the b-Symbol Distances of Matrix Product Codes, Constacyclic Codes, and Reed-Muller Codes

IEEE Transactions on Information Theory
Matrix product codes are generalizations of some well-known classes of codes, including generalized Reed-Muller codes and repeated-root constacyclic codes.
Xu Pan, San Ling, Hongwei Liu, Bocong Chen   +3 more
semanticscholar   +1 more source

Constacyclic codes and constacyclic DFTs

Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252), 2002
We discuss the encoding/decoding of constacyclic codes by means of a constacyclic DFT. The constacyclic DFT can be applied to codes over finite fields as well as finite rings. We can also apply the constacyclic DFT to the decoding of cyclic codes by means of a structure theorem that decomposes cyclic codes into constacyclic codes.
openaire   +1 more source

When isometry and equivalence for skew constacyclic codes coincide

arXiv.org
We show that the notions of $(n,\sigma)$-isometry and $(n,\sigma)$-equivalence introduced by Ou-azzou et al coincide for most skew $(\sigma,a)$-constacyclic codes of length $n$.
Monica Nevins, Susanne Pumpluen
semanticscholar   +1 more source

The Additive constacyclic codes and the MacWilliams identities over mixed alphabets

Journal of Algebra Combinatorics Discrete Structures and Applications
Let $\mathbb{Z}_p$ be the ring of integers modulo a prime integer $p$, where $p-1$ is a quadratic residue modulo $p$. This paper presents the study of constacyclic codes over chain rings $\mathcal{R}=\frac{\mathbb{Z}_p[u]}{\langle u^2\rangle}$ and ...
Indibar Debnath, Ashutosh Singh, Om Prakash, A. Alhevaz   +3 more
semanticscholar   +1 more source

New quantum constacyclic codes

Quantum Information Processing, 2019
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Ruihu Li, Junli Wang, Yang Liu, Guanmin Guo   +3 more
openaire   +2 more sources

A class of constacyclic codes over \(\frac{\mathbb{F}_{p^m}[u, v]}{\left\langle u^k, v^2, u v-v u\right\rangle}\)

Journal of Combinatorial Mathematics and Combinatorial Computing
Let \( p \) be a prime number, and let \( k \) and \( m \) be positive integers with \( k \geq 2 \). This paper studies the algebraic structure of \(\lambda\)-constacyclic codes of arbitrary length over the finite commutative ring \( R = \frac{\mathbb{F ...
Youssef Ahendouz, Ismail Akharraz
semanticscholar   +1 more source

Constacyclic Codes and Some New Quantum MDS Codes

IEEE Transactions on Information Theory, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kai, Xiaoshan, Zhu, Shixin, Li, Ping
openaire   +1 more source

A note on constacyclic codes over a finite commutative local ring with residue field Fp

International Journal of Algebra
Given a finite commutative local ring with identity, residue field $\mathbb{F}_{p}$, $p\geq 2$ a prime, and a length $n$ such that $\gcd(p,n)=1$, linear constacyclic codes over such rings are studied by means of idempotent elements. Under such conditions,
Horacio Tapia-Recillas, J. A. Velazco-Velazco   +1 more
semanticscholar   +1 more source

Classification of Self-Dual Constacyclic Codes of Prime Power Length ps Over 𝔽pm[u] / ⟨ u3⟩

arXiv.org
Let $\mathbb{F}_{p^m}$ be a finite field of cardinality $p^m$, where $p$ is a prime number and $m$ is a positive integer. Self-dual constacyclic codes of length \( p^s \) over \( \frac{\mathbb{F}_{p^m}[u]}{\langle u^3 \rangle} \) exist only when \( p = 2
Youssef Ahendouz, Ismail Akharraz
semanticscholar   +1 more source