[HTML][HTML] Quantum codes from skew constacyclic codes over the ring Fq [u, v]∕< u2− 1, v2− 1, uv− vu

T Bag, HQ Dinh, AK Upadhyay, R Bandi… - Discrete Mathematics, 2020 - Elsevier
In this paper, we study quantum error-correcting codes from skew constacyclic codes over
the ring R= F q [u, v]< u 2− 1, v 2− 1, uv− vu>, where q= pm for any odd prime p and positive …

Codes over and some DNA applications

A Bayram, ES Oztas, I Siap - Designs, Codes and Cryptography, 2016 - Springer
In this work, we study the structure of linear, constacyclic and cyclic codes over the ring R=
F_ 4 v/(v^ 2-v) R= F 4 v/(v 2-v) and establish relations to codes over F_ 4 F 4 by defining a …

New Quantum Codes from Skew Constacyclic Codes Over a Class Of Non-Chain Rings Re, q

O Prakash, H Islam, S Patel, P Solé - International Journal of Theoretical …, 2021 - Springer
In this paper, for q= pm (p is prime) such that q≡ 1 (mod e), we study skew constacyclic
codes over a class of non-chain rings R e, q= F qu/< ue− 1> R_e,q=F_qu/⟨u^e-1⟩ where m …

[PDF][PDF] Skew constacyclic codes over the ring Fq+ vFq

J Gao, F Ma, F Fu - Appl. Comput. Math, 2017 - researchgate.net
Skew constacyclic codes over the finite non-chain ring R= Fq+ vFq are studied, where q= pr
and p is a prime. The generator polynomials and generating idempotents of skew …

-linear skew constacyclic codes and their application of constructing quantum codes

J Li, J Gao, FW Fu, F Ma - Quantum Information Processing, 2020 - Springer
Let q be a prime power with gcd (q, 6)= 1 gcd (q, 6)= 1. Let R= F _ q^ 2+ u F _ q^ 2+ v F _ q^
2+ uv F _ q^ 2 R= F q 2+ u F q 2+ v F q 2+ uv F q 2, where u^ 2= uu 2= u, v^ 2= vv 2= v and …

New quantum codes from skew constacyclic codes.

RK Verma, O Prakash, A Singh… - … in Mathematics of …, 2023 - search.ebscohost.com
For an odd prime $ p $ and positive integers $ m $ and $\ell $, let $\mathbb {F} _ {p^ m} $ be
the finite field with $ p^{m} $ elements and $ R_ {\ell, m}=\mathbb {F} _ {p^ m}[v_1, v_2,\dots …

[PDF][PDF] New Quantum and LCD Codes over Finite Fields of Even Characteristic.

H Islam, O Prakash - Defence Science Journal, 2021 - pdfs.semanticscholar.org
New Quantum and LCD Codes over Finite Fields of Even Characteristic Page 1 656 New
Quantum and LCD Codes over Finite Fields of Even Characteristic Habibul Islam and Om …

New non-binary quantum codes from skew constacyclic and additive skew constacyclic codes

RK Verma, O Prakash, H Islam, A Singh - The European Physical Journal …, 2022 - Springer
This paper discusses the structure of skew constacyclic codes and their Hermitian dual over
finite commutative non-chain ring R ℓ:= F q 2 [v 1, v 2,⋯, v ℓ]/⟨ vi 2-1, vivj-vjvi⟩ 1≤ i, j≤ ℓ …

-Cyclic codes over

S Patel, O Prakash - Designs, Codes and Cryptography, 2022 - Springer
Let F _q F q be the finite field of order q= p^ mq= pm, where p is a prime, m is a positive
integer, and R= F _q u, v/⟨ u^ 2-u, v^ 2-v, uv-vu ⟩ R= F qu, v/⟨ u 2-u, v 2-v, uv-vu⟩. Thus R …

New quantum and LCD codes over the finite field of odd characteristic

M Ashraf, N Khan, G Mohammad - International Journal of Theoretical …, 2021 - Springer
In this paper, we study cyclic codes over a finite non-chain ring F pm+ v F pm with v 2= 1 and
find new and better quantum error-correcting codes than previously known quantum error …