Prasanna Poojary

activity

20242026

collaborators

10 papers

math.CO2026

AMDS and quantum AMDS Constacyclic codes of length $4 p^{I ¨} $ 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^{I ¨} $ 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 $ Î(R) = (V(Î(R)), E(Î(R))) $. The vertex set $ V(Î(R)) $ consists of all the non-zer…

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^{I ¨} $ 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 $I ¨ $ 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 lengt…

AMDS and quantum AMDS Constacyclic codes of length 4pI¨ 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 2I¨ over F2m​+uF2m​+u2F2m​

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

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