This volume presents an exhaustive treatment of computation and algorithms for finite fields. Topics covered include pol
607 122 3MB
English Pages 240 [254] Year 1992
Table of contents :
Front Matter....Pages i-xii
Introduction....Pages 1-6
Polynomial Factorization....Pages 7-20
Finding Irreducible and Primitive Polynomials....Pages 21-29
The Distribution of Irreducible and Primitive Polynomials....Pages 30-48
Bases and Computation in Finite Fields....Pages 49-71
Coding Theory and Algebraic Curves....Pages 72-98
Elliptic Curves....Pages 99-108
Recurrent Sequences in Finite Fields and Cyclic Linear Codes....Pages 109-121
Finite Fields and Discrete Mathematics....Pages 122-138
Congruences....Pages 139-152
Some Related Problems....Pages 153-160
Back Matter....Pages 161-240