Skew quasi-cyclic codes over Galois rings

M Bhaintwal - Designs, codes and Cryptography, 2012 - Springer
Recently there has been a lot of interest on algebraic codes in the setting of skew
polynomial rings. In this paper we have studied skew quasi-cyclic (QC) codes over Galois …

4-Double Cyclic Codes Are Asymptotically Good

J Gao, X Hou - IEEE Communications Letters, 2020 - ieeexplore.ieee.org
We construct a class of Z4-double cyclic codes generated by pairs of polynomials. Based on
the probabilistic method, we prove the asymptotic properties of this class of codes: for any …

Some results on the linear codes over the finite ring

A Dertli, Y Cengellenmis, S Eren - International Journal of Quantum …, 2016 - World Scientific
In this paper, we study the structure of cyclic, quasi-cyclic codes and their skew codes over
the finite ring B r= F 2+ v 1 F 2+⋯+ vr F 2, vi 2= vi, vivj= vjvi= 0, 1≤ i, j≤ r for r≥ 1. The Gray …

[PDF][PDF] GENERALIZATION OF THE LEE WEIGHT TO [Zeta] pk

B Yildiz, ZO Ozger - TWMS Journal of Applied and Engineering …, 2012 - jaem.isikun.edu.tr
We introduce a new extension of the Lee weight to Zpk and later to Galois rings GR (pk, m).
The weight we define is a non-homogeneous weight and is different than the one that is …

A class of skew-constacyclic codes over ℤ4 + uℤ4

A Sharma, M Bhaintwal - International Journal of …, 2017 - inderscienceonline.com
In this paper, we study a class of skew-constacyclic codes over R= ℤ4+ uℤ4, which is a non-
chain extension of ℤ4. Some structural properties of R [x, θ] are discussed, where θ is an …

[HTML][HTML] Lee weights of cyclic self-dual codes over Galois rings of characteristic p2

B Kim, Y Lee - Finite Fields and Their Applications, 2017 - Elsevier
We completely determine the minimum Lee weights of cyclic self-dual codes over a Galois
ring GR (p 2, m) of length pk, where m and k are positive integers and p is a prime number …

-Additive cyclic codes and their duals.

B Srinivasulu, M Bhaintwal - … Mathematics, Algorithms & …, 2016 - search.ebscohost.com
In this paper, we study some structural properties of-additive cyclic codes in as-submodules
of, where. The generators for these codes are obtained and a minimal spanning set is …

Some Results on Generalized Quasi-Cyclic Codes over

J Gao, FW Fu, L Shen, W Ren - IEICE Transactions on …, 2014 - search.ieice.org
Generalized quasi-cyclic (GQC) codes with arbitrary lengths over the ring $ mathbb {F} _
{q}+ umathbb {F} _ {q} $, where u 2= 0, q= pn, na positive integer and pa prime number, are …

-additive cyclic codes are asymptotically good

HQ Dinh, BP Yadav, S Pathak, A Prasad… - Applicable Algebra in …, 2024 - Springer
In this paper, we construct a class of Z 4 Z 4 Z 4-additive cyclic codes generated by 3-tuples
of polynomials. We discuss their algebraic structure and show that generator matrices can …

Cyclic codes over

RK Bandi, M Bhaintwal - arXiv preprint arXiv:1501.01327, 2015 - arxiv.org
In this paper, we have studied cyclic codes over the ring $ R=\mathbb {Z} _4+ u\mathbb {Z}
_4 $, $ u^ 2= 0$. We have considered cyclic codes of odd lengths. A sufficient condition for a …