Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2014
  • Volume: 33e
  • Issue: 2

Construction of infinite sequences of irreducible polynomials using Kloosterman sum

Department of Mathematics and Statistics, Himachal Pradesh University, Shimla - 171005, India

*E-mail: plsharma1964@gmail.com

AMS Subject Classification: 11T06, 12E05

Abstract

We construct infinite sequences of irreducible polynomials over prime field having characteristic 3 using R-transform of the irreducible polynomial. The sequences start from a monic irreducible polynomial of degree n. The initial polynomial is free from any restrictions on its coefficients.

Keywords

Kloosterman Sum, Irreducible polynomial, Conjugates, R-Transform