CERTAIN CUBIC POLYNOMIALS OVER FINITE FIELDS Kim, Hyung-Don; Kim, Jae-Moon; Yie, Ik-kwon;
Motivated by XTR cryptosystem which is based on an irreducible polynomial over , we study polynomials of the form over with . In this paper, we establish a one to one correspondence between the set of such polynomials and a certain set of cubic polynomials over . Our approach is rather theoretical and provides an efficient method to generate irreducible polynomials over .
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