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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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (394 p.) |
| Disciplina | 512/.3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Finite fields (Algebra)
Arithmetical algebraic geometry Number theory Coding theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8197-3
0-8218-4786-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480232003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (394 p.) |
| Disciplina | 512/.3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Finite fields (Algebra)
Arithmetical algebraic geometry Number theory Coding theory |
| ISBN |
0-8218-8197-3
0-8218-4786-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910788632303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2010] |
| Descrizione fisica | 1 online resource (394 p.) |
| Disciplina | 512/.3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Finite fields (Algebra)
Arithmetical algebraic geometry Number theory Coding theory |
| ISBN |
0-8218-8197-3
0-8218-4786-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. |
| Record Nr. | UNINA-9910808665303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||