Vadiraja G. R. Bhatta

collaborators

5 papers

math.RA2025

Reversible and Reversible-Complement Double Cyclic Codes over F4+vF4 and its Application to DNA Codes

Divya Acharya, Prasanna Poojary, Vadiraja Bhatta G. R

In this article, we study the algebraic structure of double cyclic codes of length $(m, n)$ over $F_{4}$ and we give a necessary and sufficient condition for a double cyclic…

math.RA2025

Some more constructions of $n -$ cycle permutation polynomials

Varsha Jarali, Prasanna Poojary, Vadiraja Bhatta G. R

$n -$ cycle permutation polynomials with small n have the advantage that their compositional inverses are efficient in terms of implementation. These permutation polynomials have si…

math.CO2025

Enumeration of subsets with closedness in finite fields of characteristic 2

Nithish Kumar R, Vadiraja Bhatta G. R., Prasanna Poojary

The additive closedness in the subset of an additive group is termed as r-value. The nature of closedness in different subsets of fixed size is observed as a spectrum of r-values.…

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 $I^\pm$ -constacyclic codes of length $3 p^{s}$ over the finite commutative non-chain ring $\mathcal{R}=\frac{\mathbb{F}_{p^m}[u,…

cs.IT2024

Hamming and Symbol-Pair Distances of Constacyclic Codes of Length $2 p^{s}$ over $\frac{F _{p^{m}} [ u , v ]}{⟨ u ^{2} , v ^{2} , uv - v u ⟩}$

Divya Acharya, Prasanna Poojary, Vadiraja Bhatta G R

Let $p$ be an odd prime. In this paper, we have determined the Hamming distances for constacyclic codes of length $2 p^{s}$ over the finite commutative non-chain ring $\mathcal{R}=\fr…

Reversible and Reversible-Complement Double Cyclic Codes over F4+vF4 and its Application to DNA Codes

Some more constructions of n−cycle permutation polynomials

Enumeration of subsets with closedness in finite fields of characteristic 2

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

Hamming and Symbol-Pair Distances of Constacyclic Codes of Length 2ps over ⟨u2,v2,uv−vu⟩Fpm​[u,v]​

Some more constructions of $n -$ cycle permutation polynomials

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

Hamming and Symbol-Pair Distances of Constacyclic Codes of Length $2 p^{s}$ over $\frac{F _{p^{m}} [ u , v ]}{⟨ u ^{2} , v ^{2} , uv - v u ⟩}$