Finite fields : theory, applications, and algorithms : Fourth International Conference on Finite Fields-- Theory, Applications, and Algorithms, August 12-15, 1997, University of Waterloo, Ontario, Canada / / Ronald C. Mullin, Gary L. Mullen, editors

• Record Nr.: UNINA9910828837203321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1999]; ©1999
• ISBN: 0-8218-7816-6; 0-8218-5561-1
• Descrizione fisica: 1 online resource (258 p.)
• Collana: Contemporary mathematics, ; 225 , 0271-4132
• Disciplina: 512/.3
• Soggetti: Finite fields (Algebra)
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Contents -- Preface -- Computing composed products of polynomials -- Actions of linearized polynomials on the algebraic closure of a finite field -- On degree bounds for invariant rings of finite groups over finite fields -- Irreducible polynomials of given forms -- An application of Galois calculus to Fq[t] -- Composition behavior of sub-linearised polynomials over a finite field -- Kernels and defaults -- Global function fields with many rational places and their applications -- Traces of roots of unity over prime fields -- The Fermat curve in characteristic p -- Computing zeta functions over finite fields -- Cyclic alternant codes induced by an automorphism of a GRS code -- On Kerdock codes -- Permutation group of the q-ary image of some qm-ary cyclic codes -- The number of solutions to a system of equations and spectra of codes -- The LD probable prime test -- Carmichael numbers and Lucas tests -- On the state complexity of some long codes -- ID-based key distribution system over an elliptic curve -- Symmetric sets of curves and combinatorial arrays -- Weight functions and the extension theorem for linear codes over finite rings.