Results 11 to 20 of about 153,643 (269)

On cyclic DNA codes over the rings Z4 + wZ4 and Z4 + wZ4 + vZ4 + wvZ4

Biomath, 2017
The structures of cyclic DNA codes of odd length over the finite rings R = Z4 + wZ4, w^2 = 2 and S = Z4 + wZ4 + vZ4 + wvZ4; w^2 = 2; v^2 =v; wv = vw are studied.
Abdullah Dertli, Yasemin Cengellenmis
doaj   +1 more source

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 Codes

, 2020
arXiv admin note: text overlap with arXiv:1906 ...
Güneri, Cem, Ling, San, Özkaya, Buket
openaire   +4 more sources

Quantum Codes Obtained From Constacyclic Codes Over a Family of Finite Rings F_p[u₁, u₂, …, u_s]

IEEE Access, 2020
In this article, we construct some MDS quantum error-correcting codes (QECCs) from classes of constacyclic codes over Rs = Fp + u1Fp + ··· + usFp, ui2 = ui, uiuj = ujui = 0, for odd prime p and i, j = 1, 2,⋯, s, i ≠ j ...
Hai Q. Dinh, Tushar Bag, Sachin Pathak, Ashish Kumar Upadhyay, Warattaya Chinnakum   +4 more
doaj   +1 more source

Self-Dual Cyclic Codes Over M2(ℤ4)

Discussiones Mathematicae - General Algebra and Applications, 2022
In this paper, we study the structure of cyclic codes overM2(ℤ4) (the matrix ring of matrices of order 2 over ℤ4), which is perhaps the first time that the ring is considered as a code alphabet.
Bhowmick Sanjit, Pal Joydeb, Bandi Ramakrishna, Bagchi Satya   +3 more
doaj   +1 more source

Unique Generators for Cyclic Codes of Arbitrary Length over Fpmu/u3 and Their Applications

Journal of Mathematics, 2022
Cyclic codes play a very important role in the history of coding theory since they have good algebraic structures that can be widely used in coding and decoding.
Hongju Li, Ping Yu, Jing Liang, Feng Zhao   +3 more
doaj   +1 more source

Double Cyclic Codes over \({\mathbb{F}_{q}+v\mathbb{F}_{q}}\)

Mathematics, 2020
In this paper, an algebraic structure of a type of double cyclic codes is investigated, which covers some existing codes as special cases. The paper presents generic results about the generating polynomials, minimal generating sets, matrices and dual ...
Tenghui Deng, Jing Yang
doaj   +1 more source

Rank equivalent and rank degenerate skew cyclic codes

, 2016
Two skew cyclic codes can be equivalent for the Hamming metric only if they have the same length, and only the zero code is degenerate. The situation is completely different for the rank metric, where lengths of codes correspond to the number of outgoing
Martínez-Peñas, Umberto
core   +1 more source

The Weight Distributions of Cyclic Codes and Elliptic Curves

, 2011
Cyclic codes with two zeros and their dual codes as a practically and theoretically interesting class of linear codes, have been studied for many years. However, the weight distributions of cyclic codes are difficult to determine.
Qi, Yanfeng, Tang, Chunming, Wang, Baocheng, Xu, Maozhi, Yang, Yixian   +4 more
core   +1 more source

A Family of Five-Weight Cyclic Codes and Their Weight Enumerators

, 2013
Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms.
Ding, Cunsheng, Luo, Jinquan, Zhang, Aixian, Zhou, Zhengchun   +3 more
core   +2 more sources