Book contents
- Frontmatter
- Contents
- Preface
- Conference Participants
- Factorizations over finite fields
- Class number in totally imaginary extensions of totally real function fields
- Automorphism groups and permutation groups of affine-invariant codes
- A construction of bent functions
- Monodromy groups of classical families over finite fields
- Wan's bound for value sets of polynomials
- Comparative implementations of Berlekamp's and Niederreitor's polynomial factorization algorithms
- On the minimal polynomials for certain Gauss periods over finite fields
- Completely free elements
- Exponential sums over Galois rings and their applications
- Maximal sets of mutually orthogonal Latin squares
- Examples of small hybrid sums
- Cellular automata, substitutions and factorization of polynomials over finite fields
- A new class of two weight codes
- Construction of digital (t, m, s)-nets from linear codes
- A family of exceptional polynomials in characteristic three
- Estimates of character sums arising from finite upper half planes
- Carmichael-Carlitz polynomials and Fermat-Carlitz quotients
- Open problems and conjectures in finite fields
- Quasirandom points and global function fields
- Use characteristic sets to decode cyclic codes up to actual minimum distance
- Approximate constructions in finite fields
- Periodicity properties of kth order linear recurrences whose characteristic polynomial splits completely over a finite field, II
- Factoring cyclotomic polynomials over large finite fields
- Character sums and coding theory
- L-functions of algebraic varieties over finite fields: rationality, meromorphy and entireness
- Some congruences and identities for generalizations of Rédei functions
L-functions of algebraic varieties over finite fields: rationality, meromorphy and entireness
Published online by Cambridge University Press: 29 September 2009
- Frontmatter
- Contents
- Preface
- Conference Participants
- Factorizations over finite fields
- Class number in totally imaginary extensions of totally real function fields
- Automorphism groups and permutation groups of affine-invariant codes
- A construction of bent functions
- Monodromy groups of classical families over finite fields
- Wan's bound for value sets of polynomials
- Comparative implementations of Berlekamp's and Niederreitor's polynomial factorization algorithms
- On the minimal polynomials for certain Gauss periods over finite fields
- Completely free elements
- Exponential sums over Galois rings and their applications
- Maximal sets of mutually orthogonal Latin squares
- Examples of small hybrid sums
- Cellular automata, substitutions and factorization of polynomials over finite fields
- A new class of two weight codes
- Construction of digital (t, m, s)-nets from linear codes
- A family of exceptional polynomials in characteristic three
- Estimates of character sums arising from finite upper half planes
- Carmichael-Carlitz polynomials and Fermat-Carlitz quotients
- Open problems and conjectures in finite fields
- Quasirandom points and global function fields
- Use characteristic sets to decode cyclic codes up to actual minimum distance
- Approximate constructions in finite fields
- Periodicity properties of kth order linear recurrences whose characteristic polynomial splits completely over a finite field, II
- Factoring cyclotomic polynomials over large finite fields
- Character sums and coding theory
- L-functions of algebraic varieties over finite fields: rationality, meromorphy and entireness
- Some congruences and identities for generalizations of Rédei functions
Summary
- Type
- Chapter
- Information
- Finite Fields and ApplicationsProceedings of the Third International Conference, Glasgow, July 1995, pp. 379 - 394Publisher: Cambridge University PressPrint publication year: 1996
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