Anuradha Sharma

activity

20232025

collaborators

6 papers

cs.IT2025

Linear codes over a mixed-alphabet ring and their Gray images with applications to projective and locally repairable codes

Leijo Jose, Lavanya G., Anuradha Sharma

Let $m \geq 2$ be an integer, and let $F_{q}$ be the finite field of prime power order $q .$ Let $R = \frac{F _{q} [ u ]}{⟨ u ^{2} ⟩} \times F_{q}$ …

cs.IT2025

Recursive construction and enumeration of self-orthogonal and self-dual codes over finite commutative chain rings of even characteristic

Monika Yadav, Anuradha Sharma

Let $R_{e, m}$ denote a finite commutative chain ring of even characteristic with maximal ideal $⟨ u ⟩$ of nilpotency index $e \geq 3,$ Teichm $u ¨$ ller se…

cs.IT2025

A recursive approach to the construction and enumeration of self-orthogonal and self-dual codes over finite commutative chain rings of even characteristic

Monika Yadav, Anuradha Sharma

Let $R_{e, m}$ be a finite commutative chain ring of even characteristic with maximal ideal $⟨ u ⟩$ of nilpotency index $e \geq 2,$ Teichm $u ¨$ ller set $\…

cs.IT2024

On Galois LCD codes and LCPs of codes over mixed alphabets

Leijo Jose, Anuradha Sharma

Let $R$ be a finite commutative chain ring with the maximal ideal $γ R$ of nilpotency index $e \geq 2,$ and let $R ˇ = R / γ^{s} R$ for…

cs.IT2024

On Eisenstein additive codes over chain rings and linear codes over mixed alphabets

Leijo Jose, Anuradha Sharma

Let $R_{e} = GR (p^{e}, r) [y] / ⟨ g (y), p^{e - 1} y^{t} ⟩$ be a finite commutative chain ring, where $p$ is a prime number, $GR (p^{e}, r)$ is the Galois ring of characteristic $p…

cs.IT2023

On LCP and checkable group codes over finite non-commutative Frobenius rings

Sanjit Bhowmick, Javier de la Cruz, Edgar Martínez-Moro +1

We provide a simple proof for a complementary pair of group codes over a finite non-commutative Frobenius ring of the fact that one of them is equivalent to the other one. We also…