Ankit Yadav

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cs.IT2026

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

Ankit Yadav, Nilay Kumar Mondal, Ritumoni Sarma

In this article, we construct infinite families of quaternary (that is, over the ring $Z_{4}$ ) $C_{D}$ -codes, where the defining set $D$ is derived utilizing a two…

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

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