Finite fields : theory and applications : Ninth International Conference on Finite Fields and Applications, July 1317, 2009, Dublin, Ireland

Contributor(s): McGuire GaryMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 518Publication details: Providence, R.I. : American Mathematical Society, c2010Description: 1 online resource (viii, 384 p. : ill.)ISBN: 9780821881972 (online)Subject(s): Arithmetical algebraic geometry | Coding theory | Finite fields (Algebra) | Number theoryOnline resources: Click here to access online
Contents:
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 ; CCZequivalence 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 torusbased cryptography ; Unitary superperfect binary polynomials ; Shiftinvariant polynomials and Ritt's 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 algebraicgeometric codes from Galois extensions ; A multilinear generalization of the Tate pairing ; The merit factor of binary sequence families constructed from uples on the normtrace function field ; On the zeta functions of an optimal tower of function fields over Clarice Dias Albuquerque Reginaldo Palazzo Jr and Eduardo Brandani Silva ; Hassan Aly Radwa Marzouk and Wilfried Meidl ; Yves Aubry Gary McGuire and Francois Rodier ; K A Browning J F Dillon M T McQuistan and A J Wolfe ; Lilya Budaghyan and Claude Carlet ; Anne Canteaut and Maria NayaPlasencia ; Francis N Castro and Ivelisse M Rubio ; MeiChu Chang ; Pascale Charpin and Gohar M Kyureghyan ; Stephen D Cohen ; Robert S Coulter and Pamela Kosick ; Clement Dunand and Reynald Lercier ; Luis H Gallardo and Olivier Rahavandrainy ; Joachim von zur Gathen ; Domingo Gomez and Arne Winterhof ; S Gurak ; Jing Jane He Daniel Panario and Qiang Wang ; Masaaki Homma and Seon Jeong Kim ; MingDeh Huang and Anand Kumar Narayanan ; MingDeh Huang and Wayne Raskind ; Jonathan Jedwab and KaiUwe Schmidt ; Neal Koblitz and Alfred Menezes ; WenChing W Li ; Gretchen L Matthews and Justin D Peachey ; Gary McGuire and Alexey Zaytsev ; Harald Niederreiter ; Valentina Pepe Cornelia Roing and Leo Storme ; J Wolfmann
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Includes bibliographical references.

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 ; CCZequivalence 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 torusbased cryptography ; Unitary superperfect binary polynomials ; Shiftinvariant polynomials and Ritt's 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 algebraicgeometric codes from Galois extensions ; A multilinear generalization of the Tate pairing ; The merit factor of binary sequence families constructed from equences ; Intractable problems in cryptography ; Modular curves and coding theory: a survey ; Minimal generating sets of Weierstrass semigroups of certain uples on the normtrace function field ; On the zeta functions of an optimal tower of function fields over Bbb F_4 ; The asymptotic theory of algebraicgeometry codes ; A spectrum result on maximal partial ovoids of the generalized quadrangle scr Q(4,q),\ q odd ; Cyclic codes aspects of bent functions Clarice Dias Albuquerque Reginaldo Palazzo Jr and Eduardo Brandani Silva ; Hassan Aly Radwa Marzouk and Wilfried Meidl ; Yves Aubry Gary McGuire and Francois Rodier ; K A Browning J F Dillon M T McQuistan and A J Wolfe ; Lilya Budaghyan and Claude Carlet ; Anne Canteaut and Maria NayaPlasencia ; Francis N Castro and Ivelisse M Rubio ; MeiChu Chang ; Pascale Charpin and Gohar M Kyureghyan ; Stephen D Cohen ; Robert S Coulter and Pamela Kosick ; Clement Dunand and Reynald Lercier ; Luis H Gallardo and Olivier Rahavandrainy ; Joachim von zur Gathen ; Domingo Gomez and Arne Winterhof ; S Gurak ; Jing Jane He Daniel Panario and Qiang Wang ; Masaaki Homma and Seon Jeong Kim ; MingDeh Huang and Anand Kumar Narayanan ; MingDeh Huang and Wayne Raskind ; Jonathan Jedwab and KaiUwe Schmidt ; Neal Koblitz and Alfred Menezes ; WenChing W Li ; Gretchen L Matthews and Justin D Peachey ; Gary McGuire and Alexey Zaytsev ; Harald Niederreiter ; Valentina Pepe Cornelia Roing and Leo Storme ; J Wolfmann

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