Finite fields and applications
7th International Conference, Fq7 Toulouse, France, May 5-9, 2003 : revised papers
International Conference on Finite Fields and Applications 2003 : Toulouse, France)
creator
Mullen, Gary L.
Poli, Alain
1939-
Stichtenoth, H. (Henning)
1944-
text
bibliography
conference publication
Electronic books.
Conference papers and proceedings.
Kongress.
gw
Berlin
New York
Springer
©2004
2004
monographic
eng
1 online resource (viii, [262] pages) : illustrations
This book constitutes the thoroughly refereed post-proceedings of the 7th International Conference on Finite Fields and Applications, Fq7, held in Toulouse, France, in May 2004. The 19 revised full papers presented were carefully selected from around 60 presentations at the conference during two rounds of reviewing and revision. Among the topics addressed are Weierstrass semigroups, Galois rings, hyperelliptic curves, polynomial irreducibility, pseudorandom number sequences, permutation polynomials, random polynomials, matrices, function fields, ramified towers, BCH codes, cyclic codes, primitive polynomials, covering sequences, cyclic decompositions.
On the Autocorrelation of Cyclotomic Generators -- The Weierstrass Semigroup of an m-tuple of Collinear Points on a Hermitian Curve -- On Cyclic Top-Associative Generalized Galois Rings -- Linear Recurrences with Polynomial Coefficients and Computation of the Cartier-Manin Operator on Hyperelliptic Curves -- Mutual Irreducibility of Certain Polynomials -- Lattice Profile and Linear Complexity Profile of Pseudorandom Number Sequences -- Symplectic Spreads and Permutation Polynomials -- What Do Random Polynomials over Finite Fields Look Like? -- Combinatorics of the Two-Variable Zeta Function -- Constructions of Mutually Unbiased Bases -- A Construction of Matrices with No Singular Square Submatrices -- Everywhere Ramified Towers of Global Function Fields -- On the Construction of Some Towers over Finite Fields -- The Covering Radius of Some Primitive Ternary BCH Codes -- The Gray Map on GR(p 2, n) and Repeated-Root Cyclic Codes -- Primitive Polynomials over Small Fields -- Vectorial Functions and Covering Sequences -- u q -Sharp Subsets of a Finite Field -- Cyclic Decomposition of Permutations of Finite Fields Obtained Using Monomials.
Gary L. Mullen, Alain Poli, Henning Stichtenoth (eds.).
Includes bibliographical references and index.
Finite fields (Algebra)
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Informatique
Congrès
MATHEMATICS
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Finite fields (Algebra)
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Informatique appliquée
Toulouse (2003)
QA247.3 .I57 2004
512/.3
31.24
SS 4800
Finite fields and applications
International Conference on Finite Fields and Applications (7th : 2003 : Toulouse, France).
Berlin ; New York : Springer, ©2004
(DLC) 2004045317
(OCoLC)54543952
Lecture notes in computer science ; 2948
3540246339
9783540246336
6610307202
9786610307203
2004045317
https://link-springer-com.libraryproxy.ist.ac.at/book/10.1007/b95905
https://link-springer-com.libraryproxy.ist.ac.at/book/10.1007/b95905
COO
040302
20200626094913.0
ocm54535935
eng