R. Sarma

activity

20232026

collaborators

12 papers

cs.IT2026

Hermitian Duality and Syndrome Structure of CSS-Type Codes over the ring $Z_{q} [i]$

Akanksha Tiwari, Ritumoni Sarma

We study the algebraic structure of principal ideal codes and CSS-type stabilizer constructions over the ring $R_{q} = Z_{q} [i],$ where every prime divisor of $q$ is congruent t…

cs.IT2026

Linear Codes over $F_{q} + u F_{q}$ associated with Simplicial Complexes, Their Gray Images, and Subfield Codes

Ankit Yadav, Akanksha Tiwari, Ritumoni Sarma

In recent years, simplicial complexes have gained considerable attention as a useful tool for constructing distance-optimal codes over finite fields. In this article, we construct…

cs.IT2026

New Constructions of Additive MDS TRS Codes

Anuj Kumar Bhagat, Ankit Yadav, Ritumoni Sarma

Additive codes over finite fields generalize linear codes, and additive MDS codes provide a natural extension of linear MDS codes. In this article, we study additive twisted Reed--…

cs.IT2026

New Quaternary codes with small Plotkin-defects from two-generator simplicial complexes

Ankit Yadav, Nilay Kumar Mondal, Ritumoni Sarma

A recent characterization of all lengths of Plotkin-optimal quaternary (that is, over the ring $Z_{4}$ ) codes of arbitrary type \cite{tang2025plotkin} also pins down the par…

cs.IT2026

Cryptographic Applications of Twisted Goppa Codes

Harshdeep Singh, Anuj Kumar Bhagat, Ritumoni Sarma +1

This article defines multi-twisted Goppa (MTG) codes as subfield subcodes of duals of multi-twisted Reed-Solomon (MTRS) codes and examines their properties. We show that if $t$ is…

cs.IT2026

On the Euclidean duals of the cyclic codes generated via cyclotomic polynomials

Anuj Kumar Bhagat, Ritumoni Sarma

For a natural number $n \geq 2$ which is co-prime to Char $(F_{q})$ , let $C_{n}$ and $C_{n, 1}$ denote the cyclic codes of length $n$ over $F_{q}$ genera…

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

Non-RS MDS Codes via Row-Column Twists

Anuj Kumar Bhagat, Harshdeep Singh, Ritumoni Sarma

This article introduces a new class of codes, called row-column twisted Reed--Solomon (RCTRS) codes, motivated by the constructions in (Beelen et al. \cite{beelen2017twisted}) and…

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…

cs.IT2023

$F$ -valued trace of a finite-dimensional commutative $F$ -algebra

Anuj Kr Bhagat, Ritumoni Sarma

A non-zero $F$ -valued $F$ -linear map on a finite dimensional $F$ -algebra is called an $F$ -valued trace if its kernel does not contain any non-ze…

Hermitian Duality and Syndrome Structure of CSS-Type Codes over the ring Zq​[i]

Linear Codes over Fq​+uFq​ associated with Simplicial Complexes, Their Gray Images, and Subfield Codes

New Constructions of Additive MDS TRS Codes

New Quaternary codes with small Plotkin-defects from two-generator simplicial complexes

Cryptographic Applications of Twisted Goppa Codes

On the Euclidean duals of the cyclic codes generated via cyclotomic polynomials

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

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

Non-RS MDS Codes via Row-Column Twists

(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-valued trace of a finite-dimensional commutative F-algebra

Hermitian Duality and Syndrome Structure of CSS-Type Codes over the ring $Z_{q} [i]$

Linear Codes over $F_{q} + u F_{q}$ associated with Simplicial Complexes, Their Gray Images, and Subfield Codes

$F_{q} F_{q^{2}}$ -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

$F$ -valued trace of a finite-dimensional commutative $F$ -algebra