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Finite fields : [electronic resource] theory and applications : Ninth International Conference on Finite Fields and Applications, July 13-17, 2009, Dublin, Ireland / Gary McGuire ... [et al.], editors.

By: (9th : International Conference on Finite Fields and Applications (9th : 2009 : Dublin, Ireland)Contributor(s): McGuire, Gary | American Mathematical SocietyMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 518.Publication details: Providence, R.I. : American Mathematical Society, c2010Description: 1 online resource (viii, 384 p. : ill.)ISBN: 9780821881972 (online)Subject(s): Finite fields (Algebra) -- Congresses | Arithmetical algebraic geometry -- Congresses | Number theory -- Congresses | Coding theory -- CongressesAdditional physical formats: Finite fields :DDC classification: 512/.3 LOC classification: QA247.3 | .I57 2009Online resources: Contents | Contents

Contents:

Construction of new toric quantum codes / Clarice Dias Albuquerque, Reginaldo Palazzo, Jr. and Eduardo Brandani Silva -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10191 On the calculation of the linear complexity of periodic sequences / Hassan Aly, Radwa Marzouk and Wilfried Meidl -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10192 A few more functions that are not APN infinitely often / Yves Aubry, Gary McGuire and Fran�cois Rodier -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10193 An APN permutation in dimension six / K. A. Browning, J. F. Dillon, M. T. McQuistan and A. J. Wolfe -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10194 CCZ-equivalence of single and multi output Boolean functions / Lilya Budaghyan and Claude Carlet -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10195 Structural weaknesses of permutations with a low differential uniformity and generalized crooked functions / Anne Canteaut and Mar�ia Naya-Plasencia -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10196 Solvability of systems of polynomial equations with some prescribed monomials / Francis N. Castro and Ivelisse M. Rubio -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10197 Character sums in finite fields / Mei-Chu Chang -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10198 Monomial functions with linear structure and permutation polynomials / Pascale Charpin and Gohar M. Kyureghyan -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10199 Primitive elements on lines in extensions of finite fields / Stephen D. Cohen -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10200 Commutative semifields of order 243 and 3125 / Robert S. Coulter and Pamela Kosick -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10201 Normal elliptic bases and torus-based cryptography / Cl�ement Dunand and Reynald Lercier -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10202 Unitary superperfect binary polynomials / Luis H. Gallardo and Olivier Rahavandrainy -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10203 Shift-invariant polynomials and Ritt's Second Theorem / Joachim von zur Gathen -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10204 Waring's problem in finite fields with Dickson polynomials / Domingo Gomez and Arne Winterhof -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10205 Jacobi sums and irreducible polynomials with prescribed trace and restricted norm / S. Gurak -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10206 A family of binary sequences from interleaved construction and their cryptographic properties / Jing Jane He, Daniel Panario and Qiang Wang -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10207 Sziklai's conjecture on the number of points of a plane curve over a finite field II / Masaaki Homma and Seon Jeong Kim -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10208 Folded algebraic-geometric codes from Galois extensions / Ming-Deh Huang and Anand Kumar Narayanan -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10209 A multilinear generalization of the Tate pairing / Ming-Deh Huang and Wayne Raskind -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10210 The merit factor of binary sequence families constructed from $m$-sequences / Jonathan Jedwab and Kai-Uwe Schmidt -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10211 Intractable problems in cryptography / Neal Koblitz and Alfred Menezes -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10212 Modular curves and coding theory: a survey / Wen-Ching W. Li -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10213 Minimal generating sets of Weierstrass semigroups of certain $m$-tuples on the norm-trace function field / Gretchen L. Matthews and Justin D. Peachey -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10214 On the zeta functions of an optimal tower of function fields over $\Bbb F_4$ / Gary McGuire and Alexey Zaytsev -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10215 The asymptotic theory of algebraic-geometry codes / Harald Niederreiter -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10216 A spectrum result on maximal partial ovoids of the generalized quadrangle $\scr Q(4,q),\ q$ odd / Valentina Pepe, Cornelia R�o�ing and Leo Storme -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10217 Cyclic codes aspects of bent functions / J. Wolfmann -- http://www.ams.org/conm/518/ http://dx.doi.org/10.1090/conm/518/10218

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Includes bibliographical references.

Construction of new toric quantum codes / Clarice Dias Albuquerque, Reginaldo Palazzo, Jr. and Eduardo Brandani Silva -- On the calculation of the linear complexity of periodic sequences / Hassan Aly, Radwa Marzouk and Wilfried Meidl -- A few more functions that are not APN infinitely often / Yves Aubry, Gary McGuire and Fran�cois Rodier -- An APN permutation in dimension six / K. A. Browning, J. F. Dillon, M. T. McQuistan and A. J. Wolfe -- CCZ-equivalence of single and multi output Boolean functions / Lilya Budaghyan and Claude Carlet -- Structural weaknesses of permutations with a low differential uniformity and generalized crooked functions / Anne Canteaut and Mar�ia Naya-Plasencia -- Solvability of systems of polynomial equations with some prescribed monomials / Francis N. Castro and Ivelisse M. Rubio -- Character sums in finite fields / Mei-Chu Chang -- Monomial functions with linear structure and permutation polynomials / Pascale Charpin and Gohar M. Kyureghyan -- Primitive elements on lines in extensions of finite fields / Stephen D. Cohen -- Commutative semifields of order 243 and 3125 / Robert S. Coulter and Pamela Kosick -- Normal elliptic bases and torus-based cryptography / Cl�ement Dunand and Reynald Lercier -- Unitary superperfect binary polynomials / Luis H. Gallardo and Olivier Rahavandrainy -- Shift-invariant polynomials and Ritt's Second Theorem / Joachim von zur Gathen -- Waring's problem in finite fields with Dickson polynomials / Domingo Gomez and Arne Winterhof -- Jacobi sums and irreducible polynomials with prescribed trace and restricted norm / S. Gurak -- A family of binary sequences from interleaved construction and their cryptographic properties / Jing Jane He, Daniel Panario and Qiang Wang -- Sziklai's conjecture on the number of points of a plane curve over a finite field II / Masaaki Homma and Seon Jeong Kim -- Folded algebraic-geometric codes from Galois extensions / Ming-Deh Huang and Anand Kumar Narayanan -- A multilinear generalization of the Tate pairing / Ming-Deh Huang and Wayne Raskind -- The merit factor of binary sequence families constructed from $m$-sequences / Jonathan Jedwab and Kai-Uwe Schmidt -- Intractable problems in cryptography / Neal Koblitz and Alfred Menezes -- Modular curves and coding theory: a survey / Wen-Ching W. Li -- Minimal generating sets of Weierstrass semigroups of certain $m$-tuples on the norm-trace function field / Gretchen L. Matthews and Justin D. Peachey -- On the zeta functions of an optimal tower of function fields over $\Bbb F_4$ / Gary McGuire and Alexey Zaytsev -- The asymptotic theory of algebraic-geometry codes / Harald Niederreiter -- A spectrum result on maximal partial ovoids of the generalized quadrangle $\scr Q(4,q),\ q$ odd / Valentina Pepe, Cornelia R�o�ing and Leo Storme -- Cyclic codes aspects of bent functions / J. Wolfmann --