Preface ....................................................... vii
Construction of new toric quantum codes
Clarice Dias Albuquerque, Reginaldo Palazzo, Jr., and
Eduardo Brandani Silva ....................................... 1
On the calculation of the linear complexity of periodic
sequences
Hassan Aly, Radwa Marzouk, and Wilfried Meidl ............... 11
A few more functions that are not APN infinitely often
Yves Aubry, Gary McGuire, and François Rodier ............... 23
An APN permutation in dimension six
K.A. Browning, J.F. Dillon, M.T. McQuistan, and
A.J. Wolfe .................................................. 33
CCZ-equivalence of single and multi output Boolean functions
Lilya Budaghyan and Claude Carlet ........................... 43
Structural weaknesses of permutations with a low differential
uniformity and generalized crooked functions
Anne Canteaut and María Naya-Plasencia ...................... 55
Solvability of systems of polynomial equations with some
prescribed monomials
Francis N. Castro and Ivelisse M. Rubio ..................... 73
Character sums in finite fields
Mei-Chu Chang ............................................... 83
Monomial functions with linear structure and permutation
polynomials
Pascale Charpin and Gohar M. Kyureghyan ..................... 99
Primitive elements on lines in extensions of finite fields
Stephen D. Cohen ........................................... 113
Commutative semifields of order 243 and 3125
Robert S. Coulter and Pamela Kosick ........................ 129
Normal elliptic bases and torus-based cryptography
Clément Dunand and Reynald Lercier ......................... 137
Unitary superperfect binary polynomials
Luis H. Gallardo and Olivier Rahavandrainy ................. 165
Shift-invariant polynomials and Ritts Second Theorem
Joachim von zur Gathen ..................................... 161
Waring's problem in finite fields with Dickson polynomials
Domingo Gomez and Arne Winterhof ........................... 185
Jacobi sums and irreducible polynomials with prescribed
trace and restricted norm
S. Gurak ................................................... 193
A family of binary sequences from interleaved construction
and their cryptographic properties
Jing Jane He, Daniel Panario, and Qiang Wang ............... 209
Sziklai's conjecture on the number of points of a plane
curve over a finite field II
Masaaki Homma and Seon Jeong Kim ........................... 225
Folded algebraic-geometric codes from Galois extensions
Ming-Deh Huang and Anand Kumar Narayanan ................... 235
A multilinear generalization of the Tate pairing
Ming-Deh Huang and Wayne Raskind ........................... 255
The merit factor of binary sequence families constructed
from m-sequences
Jonathan Jedwab and Kai-Uwe Schmidt ........................ 265
Intractable problems in cryptography
Neal Koblitz and Alfred Menezes ............................ 279
Modular curves and coding theory: A survey
Wen-Ching W. Li ............................................ 301
Minimal generating sets of Weierstrass semigroups of certain
m-tuples on the norm-trace function field
Gretchen L. Matthews and Justin D. Peachey ................. 315
On the zeta functions of an optimal tower of function
fields over F4
Gary McGuire and Alexey Zaytsev ............................ 327
The asymptotic theory of algebraic-geometry codes
Harald Niederreiter ........................................ 339
A spectrum result on maximal partial ovoids of the
generalized quadrangle Q(4,q), q odd
Valentina Pepe, Cornelia Rössing, and Leo Storme ........... 349
Cyclic codes aspects of bent functions
J. Wolfmann ................................................ 363
|
