Polycyclic codes over serial rings and their annihilator CSS construction
M Bajalan, E Martínez-Moro - Cryptography and Communications, 2024 - Springer
In this paper, we investigate the algebraic structure for polycyclic codes over a specific class
of serial rings, defined as R= R [x 1,…, xs]/⟨ t 1 (x 1),…, ts (xs)⟩, where R is a chain ring and …
of serial rings, defined as R= R [x 1,…, xs]/⟨ t 1 (x 1),…, ts (xs)⟩, where R is a chain ring and …
-polycyclic codes in Ore extensions over rings
M Bajalan, I Landjev, E Martínez-Moro… - arXiv preprint arXiv …, 2023 - arxiv.org
In this paper, we study the algebraic structure of $(\sigma,\delta) $-polycyclic codes as
submodules in the quotient module $ S/Sf $, where $ S= R [x,\sigma,\delta] $ is the Ore …
submodules in the quotient module $ S/Sf $, where $ S= R [x,\sigma,\delta] $ is the Ore …
-cyclic codes over and their applications in the construction of quantum codes
AK Bhagat, R Sarma - arXiv preprint arXiv:2501.01708, 2025 - arxiv.org
In this article, for a finite field $\mathbb {F} _q $ and a natural number $ l, $ let $\mathcal
{R}:=\mathbb {F} _q^ l. $ Firstly, for an automorphism $\Theta $ of $\mathcal {R}, $ a $\Theta …
{R}:=\mathbb {F} _q^ l. $ Firstly, for an automorphism $\Theta $ of $\mathcal {R}, $ a $\Theta …
QUANTUM CODES OBTAINED THROUGH (1 - 2vω)-CONSTACYCLIC CODES OVER Zm + vZm + ωZm + vωZm.
S Yadav, B Singh, P Mor - Advances & Applications in …, 2023 - search.ebscohost.com
In the present work, we discuss the quantum codes over the ring Z< sub> m, m is power of
some odd prime. Quantum codes are obtained through (1-2vω)-constacyclic codes over a …
some odd prime. Quantum codes are obtained through (1-2vω)-constacyclic codes over a …