Finite fields : theory and applications : Ninth International Conference on Finite Fields and Applications, July 13-17, 2009, Dublin, Ireland / / Gary McGuire [and three others], editors

• Record Nr.: UNINA9910480232003321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2010]; ©2010
• ISBN: 0-8218-8197-3; 0-8218-4786-4
• Descrizione fisica: 1 online resource (394 p.)
• Collana: Contemporary mathematics ; ; 518
• Disciplina: 512/.3
• Soggetti: Finite fields (Algebra); Arithmetical algebraic geometry; Number theory; Coding theory; Electronic books.
• 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""; ""Construction of new toric quantum codes""; ""On the calculation of the linear complexity of periodic sequences""; ""A few more functions that are not APN infinitely often""; ""An APN permutation in dimension six""; ""CCZ-equivalence of single and multi output Boolean functions""; ""Structural weaknesses of permutations with a low differential uniformity and generalized crooked functions""; ""Solvability of systems of polynomial equations with some prescribed monomials""; ""Character sums in finite fields""; ""Monomial functions with linear structure and permutation polynomials""""Primitive elements on lines in extensions of finite fields""; ""Commutative semifields of order 243 and 3125""; ""Normal elliptic bases and torus-based cryptography""; ""Unitary superperfect binary polynomials""; ""Shift-invariant polynomials and Ritts Second Theorem""; ""Waring's problem in finite fields with Dickson polynomials""; ""Jacobi sums and irreducible polynomials with prescribed trace and restricted norm""; ""A family of binary sequences ; from interleaved construction and their cryptographic properties""; ""Sziklai's conjecture on the number of points of a plane curve over a finite field II""""Folded algebraic-geometric codes from Galois extensions""; ""A multilinear generalization of the Tate pairing""; ""The merit factor of binary sequence families constructed from m-sequences""; ""Intractable problems in cryptography""; ""Modular curves and coding theory: A survey""; ""Minimal generating sets of Weierstrass semigroups of certain m-tuples on the norm-trace function field""; ""On the zeta functions of an optimal tower of function fields over F4""; ""The asymptotic theory of algebraic-geometry codes""""A spectrum result on maximal partial ovoids of the generalized quadrangle Q(4, q), q odd""; ""Cyclic codes aspects of bent functions""