Computational number theory

Journal Papers

2001

J. Buhler, R. Crandall, R. Ernvall, T. Mesänkylä and A. Shokrollahi
Irregular primes and Cyclotomic Invariants to Twelve Million
Journal of Symbolic Computation, Vol. 31, pp. 98-96, 2001.
detailed record ] [ full document ] [ bibtex ]

2000

J.P. Buhler, A. Shokrollahi and V. Stemann
Fast and precise Fourier Transforms
IEEE Transactions on Information Theory, Vol. 46, Nr. 1, pp. 213-228, 2000.
detailed record ] [ full document ] [ bibtex ]

1999

A. Shokrollahi
Relative class number of Abelian number fields of prime conductor below 10000
Mathematics of Computation, Vol. 68, Nr. 228, pp. 1717-1728, 1999.
detailed record ] [ full document ] [ bibtex ]

S. Feisel, J. von zur Gathen and A. Shokrollahi
Normal bases in finite fields via general Gauss periods
Mathematics of Computation, Vol. 68, Nr. 225, pp. 271-290, 1999.
detailed record ] [ full document ] [ bibtex ]

1997

A. Omrani and A. Shokrollahi
Computing irreducible representations of supersolvable groups over small finite fields
Mathematics of Computation, Vol. 66, Nr. 218, pp. 779-786, 1997.
detailed record ] [ full document ] [ bibtex ]

1996

A. Shokrollahi
Stickelberger Codes
Designs, Codes, and Cryptography, Vol. 9, Nr. 2, pp. 203-213, 1996.
detailed record ] [ full document ] [ bibtex ]

Conference Papers

2007

J. von zur Gathen, A. Shokrollahi and J. Shokrollahi
Efficient multiplication using type $2$ optimal normal bases
International Workshop on the Arithmetic of Finite Fields, WAIFI 2007, pp. 55--68, 2007.
detailed record ] [ full document ] [ bibtex ]

1999

S. Gao, A. Shokrollahi and D. Joyner
Computing roots of polynomials over function fields of curves
Proceedings of the Annapolis Conference on Number Theory, Coding Theory, and Cryptography, pp. 214-228, 1999.
detailed record ] [ full document ] [ bibtex ]

1997

J.P. Buhler, A. Shokrollahi and V. Stemann
Fast and precise computation of discrete Fourier Transforms using cyclotomic integers
Proceedings of the 29th annual ACM Symposium on Theory of Computing, STOC 1997, pp. 40-47, 1997.
detailed record ] [ full document ] [ bibtex ]

T. Sander and A. Shokrollahi
Deciding properties of number fields without factoring
Proceedings of the 28th IEEE Symposium on the Foundations of Computer Science, FOCS 1997, pp. 46-55, 1997.
detailed record ] [ full document ] [ bibtex ]

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