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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 over and we give a necessary and sufficient condition for a double cyclic…
math.RA2025
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…