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Generating Irreducible Self-reciprocal Polynomials by Using Even Polynomial over F<SUB>q</SUB>
Shigeki Kobayashi,Yasuyuki Nogami,Tatsuo Sugimura 대한전자공학회 2008 ITC-CSCC :International Technical Conference on Ci Vol.2008 No.7
This paper proposes a method of generating irreducible self?reciprocal polynomials by using even polynomial over Fq, where q is odd prime. First, we prepare an irreducible self?reciprocal polynomial F(x) in Fq[x] of degree 2m. Then, the proposed method repeatedly generates a lot of irreducible self?reciprocal polynomials of degree 2mby using F(x) as a seed. In this paper, the set of the generated polynomials is called loop. In general, all of them are not in one loop. This paper also shows a method for preparing a seed of another loop.