Prasanna Poojary

activity

20242026

collaborators

11 papers

math.CO2026

Metric Bases of Barycentric and Matching Subdivisions of Zero-Divisor Graphs

Vidya S, Prasanna Poojary, Bilal Ahmad Rather +1

In this paper, we study metric bases and related metric properties for barycentric and partial matching subdivisions of the zero-divisor graph of $Z_{pq}$ , where $p$ and $q…

math.CO2026

AMDS and quantum AMDS Constacyclic codes of length $4 p^{ς}$ over $F_{p^{m}}$

Manasa K J, Divya Acharya, Prasanna Poojary

This paper provides a comprehensive analysis of almost maximum distance separable (AMDS) constacyclic codes of length $4 p^{ς}$ over the finite field $F_{p^{m}}$ , where $p$ is…

math.CO2026

Fault-tolerant metric basis and dimension of barycentric subdivision of zero divisor graphs

Vidya S, Sunny Kumar Sharma, Prasanna Poojary +1

The undirected zero divisor graph of a commutative ring with unity $ R $, denoted by $ Γ(R) = (V(Γ(R)), E(Γ(R))) $. The vertex set $ V(Γ(R)) $ consists of all the non-zero ze…

math.CO2026

Metric basis and dimension of barycentric subdivision of zero divisor graphs

S. Vidya, Sunny Kumar Sharma, Prasanna Poojary +2

Let $R$ be a commutative ring with unity 1, and $G (V, E)$ be a simple, connected, nontrivial graph. Let $d (a, c)$ be the distance between the vertices $a$ and $c$ in $G$ . An undire…

math.RA2026

On $\mathbb{F}_q$-Order of Polynomials and Properties of $r$-Primitive and $k$-Normal Elements over Finite Fields

Maithri K., Vadiraja Bhatta G. R., Indira K. P. +1

Polynomials and elements over finite fields exhibit closely related algebraic structures, and many properties defined for elements extend naturally to polynomials. The concepts of…

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

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…

Metric Bases of Barycentric and Matching Subdivisions of Zero-Divisor Graphs

AMDS and quantum AMDS Constacyclic codes of length 4pς over Fpm​

Fault-tolerant metric basis and dimension of barycentric subdivision of zero divisor graphs

Metric basis and dimension of barycentric subdivision of zero divisor graphs

On \(\mathbb{F}_q\)-Order of Polynomials and Properties of \(r\)-Primitive and \(k\)-Normal Elements over Finite Fields

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

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

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]​

AMDS and quantum AMDS Constacyclic codes of length $4 p^{ς}$ over $F_{p^{m}}$

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

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 $\frac{F _{p^{m}} [ u , v ]}{⟨ u ^{2} , v ^{2} , uv - v u ⟩}$