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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

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Table of Contents

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    Book Overview
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    Chapter 43 The coding theory of finite geometries and designs
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    Chapter 44 Recent results on covering problems
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    Chapter 45 Codes and curves
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    Chapter 46 Computer and commutative algebra
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    Chapter 47 The multiplicative complexity of boolean functions
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    Chapter 48 An algorithm on quasi-ordinary polynomials
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    Chapter 49 A computer-aided design for sampling a nonlinear analytic system
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    Chapter 50 Decoding of generalized concatenated codes
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    Chapter 51 Backtrack searching in the presence of symmetry
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    Chapter 52 Fast serial-parallel multipliers
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    Chapter 53 On the complexity of computing class groups of algebraic number fields
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    Chapter 54 Some new effectivity bounds in computational geometry
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    Chapter 55 Some remarks on the differential dimension
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    Chapter 56 On the asymptotic badness of cyclic codes with block-lengths composed from a fixed set of prime factors
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    Chapter 57 Big numbers p-adic arithmetic: A parallel approach
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    Chapter 58 Monomial ideals, group algebras and error correcting codes
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    Chapter 59 Fast integer multiplication by block recursive, number theoretical transforms
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    Chapter 60 Lambda-Upsilon-Omega: An assistant algorithms analyzer
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    Chapter 61 Global dimension of associative algebras
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    Chapter 62 Symmetry and duality in normal basis multiplication
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    Chapter 63 Multiple error correction with Analog Codes
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    Chapter 64 On the complexity of satisfiability problems for algebraic structures (preliminary report)
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    Chapter 65 A computational proof of the Noether normalization lemma
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    Chapter 66 A graphics interface to REDUCE
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    Chapter 67 Vlsi designs for multiplication over finite fields GF (2 m )
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    Chapter 68 A primality test using cyclotomic extensions
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    Chapter 69 The method of syndrome coding and its application for data compression and processing in high energy physics experiments
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    Chapter 70 Nonassociative degree five identities not implied by commutativity: A computer approach
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    Chapter 71 On completely regular propelinear codes
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    Chapter 72 N-dimensional Berlekamp-Massey algorithm for multiple arrays and construction of multivariate polynomials with preassigned zeros
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    Chapter 73 Covering radius: Improving on the sphere-covering bound
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    Chapter 74 On Goldman's algorithm for solving first-order multinomial autonomous systems
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    Chapter 75 A covering problem in the odd graphs
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    Chapter 76 On the computation of Hilbert-Samuel series and multiplicity
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    Chapter 77 Succinct representations of counting problems
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    Chapter 78 How to guess ℓ-th roots modulo n by reducing lattice bases
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    Chapter 79 A study on Imai-Hirakawa trellis-coded modulation schemes
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    Chapter 80 Embedding flexible control strategies into object oriented languages
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    Chapter 81 Majority decoding of large repetition codes for the r-ary symmetric channel
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    Chapter 82 On binary codes of order 3
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    Chapter 83 Polynomial decomposition algorithm of almost quadratic complexity
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    Chapter 84 The weights of the orthogonals of certain cyclic codes or extended GOPPA codes
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Title
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Published by
Springer Berlin Heidelberg, January 2006
DOI 10.1007/3-540-51083-4
ISBNs
978-3-54-051083-3, 978-3-54-046152-4
Editors

Mora, Teo

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