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Finite fields : theory and applications : Ninth International Conference on Finite Fields and Applications, July 13-17, 2009, Dublin, Ireland

Author: Gary McGuire; American Mathematical Society.
Publisher: Providence, R.I. : American Mathematical Society, ©2010.
Series: Contemporary mathematics (American Mathematical Society), v. 518.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Database:WorldCat
Summary:

Contains a variety of results advancing the theory of finite fields and connections with, as well as impact on, various directions in number theory, algebra, and algebraic geometry. Areas of  Read more...

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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Gary McGuire; American Mathematical Society.
ISBN: 9780821858424 0821858424 9780821881972 0821881973
OCLC Number: 774695134
Description: 1 online resource (viii, 384 pages) : illustrations.
Contents: 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 François 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 María 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 / Clément 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 Rößing and Leo Storme --
Cyclic codes aspects of bent functions / J. Wolfmann --
Series Title: Contemporary mathematics (American Mathematical Society), v. 518.
Responsibility: Gary McGuire [and others], editors.

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