Irreducible polynomials over GF(2) with three prescribed coefficients

Finite Fields and their Applications

Volumn 9, Issue 3, 2003, Pages 286-299

  Fitzgerald, Robert W ^a   Yucas, Joseph L ^a  

^a Southern Illinois University at Carbondale   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037673682     PISSN: 10715797     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1071-5797(03)00005-4     Document Type: Article

References (8)

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2. K. Cattell, C.R. Miers, F. Ruskey, M. Serra, J. Sawada, The number of irreducible polynomials over GF(2) with given trace and subtrace, preprint.
3. D. Jungnickel, Finite Fields: Structure and Arithmetics, Bibliographisches Institut, Mannheim, 1993.
4. M.-A. Knus, A. Merkurjev, M. Rost, J.-P. Tignol, The Book of Involutions, Amer. Math. Soc. Colloquium Publications, Vol. 44, Amer. Math. Soc., Providence, RI, 1998.
5. E.N. Kuz'min, On a class of irreducible polynomials over a finite field, Dokl. Akad. Nauk SSSr 313 (3) (1990) 552-555 (Russian: English translation in Soviet Math. Dokl. 42(1) (1991) 45-48).
6. R. Lidl, H. Niederreiter, Finite Fields, 2nd Edition, Encyclopedia of Mathematics and its Applications, Vol. 20, Cambridge University Press, Cambridge, 1997.
7. W. Scharlau, Quadratic and Hermitian Forms, in: Grundlehren Math. Wiss., Vol. 270, Springer, New York/Heidelberg/Berlin, 1985.
8. J.L. Yucas, G.L. Mullen, Irreducible polynomials over GF(2) with prescribed coefficients, preprint.