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Number Theory Commons

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Articles and Preprints

2003

Articles 1 - 2 of 2

Full-Text Articles in Number Theory

Irreducible Polynomials Over Gf(2) With Three Prescribed Coefficients, Robert W. Fitzgerald, Joseph L. Yucas Jan 2003

Irreducible Polynomials Over Gf(2) With Three Prescribed Coefficients, Robert W. Fitzgerald, Joseph L. Yucas

Articles and Preprints

For an odd 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.


A Characterization Of Primitive Polynomials Over Finite Fields, Robert W. Fitzgerald Jan 2003

A Characterization Of Primitive Polynomials Over Finite Fields, Robert W. Fitzgerald

Articles and Preprints

No abstract provided.