Divya Acharya

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math.CO2025

Lee Distance of cyclic codes of length $2^{ς}$ over $F_{2^{m}} + u F_{2^{m}} + u^{2} F_{2^{m}}$

Divya Acharya, Prasanna Poojary, Vadiraja Bhatta G R

Let $p$ be a prime number and $ς$ and $m$ be a positive integers. Let $R = F_{2^{m}} + u F_{2^{m}} + u^{2} F_{2^{m}}$ ( $u^{3} = 0$ ). Cyclic codes of length…

math.CO2024

Repeated-Root Constacyclic Codes of Length $3 p^{s}$ over the Finite Non-Chain Ring $\frac{F _{p^{m}} [ u , v ]}{⟨ u ^{2} , v ^{2} , uv - v u ⟩}$ and their Duals

Divya Acharya, Prasanna Poojary, Vadiraja Bhatta G R

This study aims to determine the algebraic structures of $α$ -constacyclic codes of length $3 p^{s}$ over the finite commutative non-chain ring $\mathcal{R}=\frac{\mathbb{F}_{p^m}[u, v…

Lee Distance of cyclic codes of length 2ς over F2m​+uF2m​+u2F2m​

Repeated-Root Constacyclic Codes of Length 3ps over the Finite Non-Chain Ring ⟨u2,v2,uv−vu⟩Fpm​[u,v]​ and their Duals

Lee Distance of cyclic codes of length $2^{ς}$ over $F_{2^{m}} + u F_{2^{m}} + u^{2} F_{2^{m}}$

Repeated-Root Constacyclic Codes of Length $3 p^{s}$ over the Finite Non-Chain Ring $\frac{F _{p^{m}} [ u , v ]}{⟨ u ^{2} , v ^{2} , uv - v u ⟩}$ and their Duals