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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

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Cover of 'Applied Algebra, Algebraic Algorithms and Error-Correcting Codes'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 91 Algorithms for the shape of semialgebraic sets a new approach
  3. Altmetric Badge
    Chapter 92 On the parameters of algebraic geometric codes
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    Chapter 93 On wiedemann's method of solving sparse linear systems
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    Chapter 94 Fast algorithms for decoding orthogonal and related codes
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    Chapter 95 Jacobian matrices and constructions in algebra
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    Chapter 96 Homogenity, pseudo-homogenity, and Gröbner basis computations
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    Chapter 97 Arithmetic on non supersingular elliptic curves
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    Chapter 98 Implementing some algorithms of kantor
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    Chapter 99 Computing roadmaps of general semi-algebraic sets
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    Chapter 100 An improved sign determination algorithm
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    Chapter 101 The 2-nd generalized Hamming weight of double-error correcting binary BCH codes and their dual codes
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    Chapter 102 Buchberger algorithm and integer programming
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    Chapter 103 New systolic architectures for cyclic code encoding
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    Chapter 104 Algebraic constructions of efficient broadcast networks
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    Chapter 105 Error-correction for WIMs and WUMs
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    Chapter 106 Some constructions in rings of differential polynomials
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    Chapter 107 Concurrent error detection in sequential circuits using convolutional codes
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    Chapter 108 An algorithm for the computation of the radical of an ideal in the ring of polynomials
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    Chapter 109 Integer multiplication in PARSAC-2 on stock microprocessors
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    Chapter 110 Polynomial-time construction of spherical codes
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    Chapter 111 Algorithms for a multiple algebraic extension II
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    Chapter 112 On the orphans and covering radius of the reed-muller codes
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    Chapter 113 A joint authentication and encryption scheme based on algebraic coding theory
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    Chapter 114 Arithmetic codes - Survey, recent and new results
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    Chapter 115 Some results on linear unequal-error-protection codes specified by their generator matrix
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    Chapter 116 An ackermannian polynomial ideal
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    Chapter 117 Complexity of the computation of the canonical Whitney stratification of an algebraic set in C n
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    Chapter 118 Some undecidability results for weakly confluent monadic string-rewriting systems
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    Chapter 119 Calculating multidimensional symmetric functions using Jacobi's formula
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    Chapter 120 Multivariate Sturm theory
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    Chapter 121 Binary spherical geometric codes
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    Chapter 122 An algebraic construction of generalized Beenker's codes
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    Chapter 123 Improving the time complexity of the computation of irreducible and primitive polynomials in finite fields
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    Chapter 124 Completely transitive codes and distance transitive graphs
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    Chapter 125 Placement of curved polygons
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    Chapter 126 On the weights of the elements of the duals of binary BCH codes
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    Chapter 127 Computation of the openness of some loci of modules
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    Chapter 128 Random and byte error correcting codes for asymmetric or unidirectional error control
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    Chapter 129 Finding a minimal polynomial vector set of a vector of n D arrays
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    Chapter 130 Covering codes and combinatorial optimization
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    Chapter 131 Decoding of quadrature partial response- trellis coded signals (QPR-TCM) in the presence of intersymbol interference and noise
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    Chapter 132 On algebraic solutions of linear differential equations with primitive unimodular Galois group
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    Chapter 133 Error detection and correction in numerical computations
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    Chapter 134 d -Functions in V k ( F 2 ) and self-decimation of m -sequences
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    Chapter 135 Multilevel modulation codes for rayleigh fading channels
Overall attention for this book and its chapters
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Title
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Published by
Springer Science & Business Media, September 1991
DOI 10.1007/3-540-54522-0
ISBNs
978-3-54-054522-4, 978-3-54-038436-6
Editors

Mattson, Harold F., Mora, Teo, Rao, T. R. N.

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