R. Sarma

collaborators

Showing cs.ITShow all

4 papers · 1 filter

cs.IT2025

$F_{q} F_{q^{2}}$ -additive cyclic codes and their Gray images

Ankit Yadav, Ritumoni Sarma

We investigate additive cyclic codes over the alphabet $F_{q} F_{q^{2}}$ , where $q$ is a prime power. First, its generator polynomials and minimal spanning set are d…

cs.IT2025

Optimal binary codes from $C_{D}$ -codes over a non-chain ring

Ankit Yadav, Ritumoni Sarma, Anuj Kumar Bhagat

In \cite{shi2022few-weight}, Shi and Li studied $C_{D}$ -codes over the ring $R := F_{2} [x, y] / ⟨ x^{2}, y^{2}, x y - y x ⟩$ and their binary Gray images, wh…

cs.IT2025

$(Θ, Δ_{Θ}, a)$ -cyclic codes over $F_{q}^{l}$ and their applications in the construction of quantum codes

Akanksha, Anuj Kumar Bhagat, Ritumoni Sarma

In this article, for a finite field $F_{q}$ and a natural number $l,$ let $R$ denote the product ring $F_{q}^{l} .$ Firstly, for an automorphism $Θ$ of $\mathc…

cs.IT2024

Polycyclic Codes over the Product Ring $F_{q}^{l}$ and their Annihilator Dual

Akanksha, Ritumoni Sarma

In this article, for the finite field $F_{q}$ , we show that the $F_{q}$ -algebra $F_{q} [x] / ⟨ f (x)⟩$ is isomorphic to the product ring $\mathbb{F}_q…

Fq​Fq2​-additive cyclic codes and their Gray images

Optimal binary codes from CD​-codes over a non-chain ring

(Θ,ΔΘ​,a)-cyclic codes over Fql​ and their applications in the construction of quantum codes

Polycyclic Codes over the Product Ring Fql​ and their Annihilator Dual

$F_{q} F_{q^{2}}$ -additive cyclic codes and their Gray images

Optimal binary codes from $C_{D}$ -codes over a non-chain ring

$(Θ, Δ_{Θ}, a)$ -cyclic codes over $F_{q}^{l}$ and their applications in the construction of quantum codes

Polycyclic Codes over the Product Ring $F_{q}^{l}$ and their Annihilator Dual