Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

12th International Symposium, AAECC-12, Toulouse, France, June, 23-27, 1997, Proceedings
1997
ISBN: 978-3-540-63163-7
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1255, 362 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 1150 g

Reihe: Lecture Notes in Computer Science

This book constitutes the strictly refereed proceedings of the 12th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-12, held in Toulouse, France, June 1997.
The 27 revised full papers presented were carefully selected by the program committee for inclusion in the volume. The papers address a broad range of current issues in coding theory and computer algebra spanning polynomials, factorization, commutative algebra, real geometry, group theory, etc. on the mathematical side as well as software systems, telecommunication, complexity theory, compression, signal processing, etc. on the computer science and engineering side.

Zielgruppe

Research

Autoren/Hrsg.

Mattson, Harold F.

Mora, Teo

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Fernmeldetechnik
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Informationstheorie, Kodierungstheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Informationstheorie, Kodierungstheorie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra

Inhaltsverzeichnis

Minimun distance decoding algorithms for linear codes.- Efficient multivariate factorization over finite fields.- On maximal codes in polynomial metric spaces.- Yet another ideal decomposition algorithm.- A resultant theory for ordinary algebraic differential equations.- The symmetry group of ? q n in the Lee space and the ? q n-linear codes.- On repeated-root cyclic codes and the two-way chain condition.- Exponentiation in finite fields: Theory and practice.- Computing minimum-link path in a homotopy class amidst semi-algebraic obstacles in the plane.- Certain self-dual codes over ?4 and the odd Leech lattice.- Order functions and evaluation codes.- Codes from cocycles.- A brief tour of split linear programming.- Elementary approximation of exponentials of Lie polynomials.- On the q-ary image of cyclic codes.- The split weight (w L, w R ) enumeration of Reed-Muller codes for w L +w R d min.- Optimal linear codes of dimension 4 over GF(5).- Characterisations of lexicographic sets and simply-connected Hilbert schemes.- An iterative probabilistic decoding algorithm for binary linear block codes beyond the half minimum distance.- Security examination of a cellular automata based pseudorandom bit generator using an algebraic replica approach.- Formal duality of linearly presentable codes over a Galois field.- Trace-function on a Galois ring in coding theory.- A vector version of the BMS algorithm for implementing fast erasure-and-error decoding of one-point AG codes.- On generalized Hamming weights of codes constructed on affine algebraic sets.- Some results on regular mappings.- Extension theorems for linear codes over finite rings.- Nonperiodic cyclic equivalence classes of cyclic codes and algebraic constructions of cyclically permutable codes.