AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Finite Fields: Theory and Applications
About this Title
Gary McGuire, Gary L. Mullen, Daniel Panario and Igor E. Shparlinski, Editors
Publication: Contemporary Mathematics
Publication Year:
2010; Volume 518
ISBNs: 978-0-8218-4786-2 (print); 978-0-8218-8197-2 (online)
DOI: https://doi.org/10.1090/conm/518
MathSciNet review: 2605801
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
Articles
- Clarice Dias Albuquerque, Reginaldo Palazzo, Jr. and Eduardo Brandani Silva – Construction of new toric quantum codes [MR 2648534]
- Hassan Aly, Radwa Marzouk and Wilfried Meidl – On the calculation of the linear complexity of periodic sequences [MR 2648535]
- Yves Aubry, Gary McGuire and François Rodier – A few more functions that are not APN infinitely often [MR 2648536]
- K. A. Browning, J. F. Dillon, M. T. McQuistan and A. J. Wolfe – An APN permutation in dimension six [MR 2648537]
- Lilya Budaghyan and Claude Carlet – CCZ-equivalence of single and multi output Boolean functions [MR 2648538]
- Anne Canteaut and María Naya-Plasencia – Structural weaknesses of permutations with a low differential uniformity and generalized crooked functions [MR 2648539]
- Francis N. Castro and Ivelisse M. Rubio – Solvability of systems of polynomial equations with some prescribed monomials [MR 2648540]
- Mei-Chu Chang – Character sums in finite fields [MR 2648541]
- Pascale Charpin and Gohar M. Kyureghyan – Monomial functions with linear structure and permutation polynomials [MR 2648542]
- Stephen D. Cohen – Primitive elements on lines in extensions of finite fields [MR 2648543]
- Robert S. Coulter and Pamela Kosick – Commutative semifields of order 243 and 3125 [MR 2648544]
- Clément Dunand and Reynald Lercier – Normal elliptic bases and torus-based cryptography [MR 2648545]
- Luis H. Gallardo and Olivier Rahavandrainy – Unitary superperfect binary polynomials [MR 2648546]
- Joachim von zur Gathen – Shift-invariant polynomials and Ritt’s Second Theorem [MR 2648547]
- Domingo Gomez and Arne Winterhof – Waring’s problem in finite fields with Dickson polynomials [MR 2648548]
- S. Gurak – Jacobi sums and irreducible polynomials with prescribed trace and restricted norm [MR 2648549]
- Jing Jane He, Daniel Panario and Qiang Wang – A family of binary sequences from interleaved construction and their cryptographic properties [MR 2648550]
- Masaaki Homma and Seon Jeong Kim – Sziklai’s conjecture on the number of points of a plane curve over a finite field II [MR 2648551]
- Ming-Deh Huang and Anand Kumar Narayanan – Folded algebraic-geometric codes from Galois extensions [MR 2648552]
- Ming-Deh Huang and Wayne Raskind – A multilinear generalization of the Tate pairing [MR 2648553]
- Jonathan Jedwab and Kai-Uwe Schmidt – The merit factor of binary sequence families constructed from $m$-sequences [MR 2648554]
- Neal Koblitz and Alfred Menezes – Intractable problems in cryptography [MR 2648555]
- Wen-Ching W. Li – Modular curves and coding theory: a survey [MR 2605806]
- Gretchen L. Matthews and Justin D. Peachey – Minimal generating sets of Weierstrass semigroups of certain $m$-tuples on the norm-trace function field [MR 2648556]
- Gary McGuire and Alexey Zaytsev – On the zeta functions of an optimal tower of function fields over $\Bbb F_4$ [MR 2648557]
- Harald Niederreiter – The asymptotic theory of algebraic-geometry codes [MR 2648558]
- Valentina Pepe, Cornelia Rößing and Leo Storme – A spectrum result on maximal partial ovoids of the generalized quadrangle $\scr Q(4,q),\ q$ odd [MR 2648559]
- J. Wolfmann – Cyclic codes aspects of bent functions [MR 2648560]