R. VadirajaBhattaG.

collaborators

4 papers

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.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.NT2025

On the Sum of Additive Characters and its Applications over Finite Fields

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

In this paper, we study the sum of additive characters over finite fields, with a focus on those of specified $\mathbb{F}_q$-Order. We establish a general formula for these chara…

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…

Fault-tolerant 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

On the Sum of Additive Characters and its Applications over Finite Fields

Lee Distance of cyclic codes of length 2I¨ over F2m​+uF2m​+u2F2m​

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