Ankit Yadav

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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.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…

New Constructions of Additive MDS TRS Codes

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

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

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

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