Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (3): 412-416.

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SOME PRIMITIVE POLYNOMIALS OVER FINITE FIELDS

 Seunghwan Chang, June Bok Lee   

  1. Department of Mathematics, Yonsei University, Seoul 120-749, Korea
  • Online:2001-07-06 Published:2001-07-06
  • Supported by:

    This work is supported by project number 1998-015-D00015.

Abstract:

This paper proves that if qn is large enough, for each element a and primitive element b of Fq, there exists a primitive polynomial of degree n  5 over the finite field Fq having a as the coefficient of xn−1 and b as the constant term. This proves that if qn is large enough, for each element a 2 Fq, there exists a primitive polynomial of degree n  5 over Fq having a as the coefficient of x.

Key words: Finite field, primitive polynomial

CLC Number: 

  • 11T06
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