Irreducible polynomials over GF(2) with prescribed coefficients |
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| Affiliation: | 1. Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, USA;2. Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA |
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| Abstract: | ![]()
For an even positive integer n, we determine formulas for the number of irreducible polynomials of degree n over GF(2) in which the coefficients of xn−1,xn−2 and xn−3 are specified in advance. Formulas for the number of elements in GF(2n) with the first three traces specified are also given. |
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