Results 1 to 10 of about 37,254 (125)

On Quasi-Cyclic Codes of Index 3 [PDF]

Entropy
Quasi-cyclic codes of index 3 over finite fields are studied. We give a classification of such codes. Their duals with respect to the Euclidean and Hermitian inner products are investigated.
Kanat Abdukhalikov, Rasha M. Shat
doaj   +2 more sources

On Gray Images of Cyclic and Self-Orthogonal Codes over ${\mathbb{F}}_q+u{\mathbb{F}}_q+v{\mathbb{F}}_q$ [PDF]

Entropy
Let p be a prime with p∉{2,5} and let q=pm. This paper studies cyclic and self-orthogonal linear codes of length n over the finite local non-Frobenius ring Rp,u,v=Fq+uFq+vFq, u2=v2=uv=vu=0.
Sami H. Saif, Alhanouf Ali Alhomaidhi
doaj   +2 more sources

Lower Bound on the Minimum Distance of Single-Generator Quasi-Twisted Codes

Mathematics, 2023
We recall a classic lower bound on the minimum Hamming distance of constacyclic codes over finite fields, analogous to the well-known BCH bound for cyclic codes.
Adel Alahmadi, Patrick Solé, Ramy Taki Eldin   +2 more
doaj   +1 more source

An explicit construction of quantum codes from one-generator generalized quasi-cyclic codes [PDF]

MATEC Web of Conferences, 2021
In this paper, we take advantage of a class of one-generator generalized quasi-cyclic (GQC) codes of index 2 to construct quantum error-correcting codes.
Yao Yu, Ma Yuena, Li Husheng, Lv Jingjie
doaj   +1 more source

Reproducible families of codes and cryptographic applications

Journal of Mathematical Cryptology, 2021
Structured linear block codes such as cyclic, quasi-cyclic and quasi-dyadic codes have gained an increasing role in recent years both in the context of error control and in that of code-based cryptography.
Santini Paolo, Persichetti Edoardo, Baldi Marco   +2 more
doaj   +1 more source

On quasi-cyclic codes and traces of codes

Lietuvos Matematikos Rinkinys, 2004
There is  not abstract.
Gintaras Skersys
doaj   +3 more sources

Quasi-Cyclic LDPC Codes of Column-Weight Two Using a Search Algorithm

EURASIP Journal on Advances in Signal Processing, 2007
This article introduces a search algorithm for constructing quasi-cyclic LDPC codes of column-weight two. To obtain a submatrix structure, rows are divided into groups of equal sizes.
Michael Liebelt, Gabofetswe Malema
doaj   +2 more sources

Quasi-Cyclic Codes Via Unfolded Cyclic Codes and Their Reversibility

IEEE Access, 2019
The finite field $\mathbb {F}_{q^\ell }$ of $q^\ell $ elements contains $\mathbb {F}_{q}$ as a subfield. If $\theta \in \mathbb {F}_{q^\ell }$ is of degree $\ell $ over $\mathbb {F}_{q}$ , it can be used to unfold elements of $\mathbb {F}_{q^\
Ramy Taki Eldin, Hajime Matsui
doaj   +1 more source

Quasi-cyclic subcodes of cyclic codes [PDF]

, 2016
We completely characterize possible indices of quasi-cyclic subcodes in a cyclic code for a very broad class of cyclic codes. We present enumeration results for quasi-cyclic subcodes of a fixed index and show that the problem of enumeration is equivalent
Belfiore, Jean-Claude, Güneri, Cem, Özkaya, Buket   +2 more
core   +3 more sources

On the concatenated structure of quasi-cyclic codes

Lietuvos Matematikos Rinkinys, 2003
There is not abstract,
Gintaras Skersys
doaj   +3 more sources