9 papers
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…
Metric basis and dimension of barycentric subdivision of zero divisor graphs
S. Vidya, Sunny Kumar Sharma, Prasanna Poojary +2
Let be a commutative ring with unity 1, and be a simple, connected, nontrivial graph. Let be the distance between the vertices and in . An undire…
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…
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 over and we give a necessary and sufficient condition for a double cyclic…
Lee Distance of cyclic codes of length over
Divya Acharya, Prasanna Poojary, Vadiraja Bhatta G R
Let be a prime number and and be a positive integers. Let (). Cyclic codes of length…
Some more constructions of cycle permutation polynomials
Varsha Jarali, Prasanna Poojary, Vadiraja Bhatta G. R
cycle permutation polynomials with small n have the advantage that their compositional inverses are efficient in terms of implementation. These permutation polynomials have si…