Coding Theory and Applications 1988 : 3nd International Colloquium, Toulon, France, November 2-4, 1988. Proceedings (Lecture Notes in Computer Science Vol.388) (1989. IX, 329 p. 23,5 cm)

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Coding Theory and Applications 1988 : 3nd International Colloquium, Toulon, France, November 2-4, 1988. Proceedings (Lecture Notes in Computer Science Vol.388) (1989. IX, 329 p. 23,5 cm)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 329 p.
  • 商品コード 9783540516439

Description


(Table of content)
Codes and character sums.- Codes from some Artin-Schreier curves.- Families of codes exceeding the Varshamov-Gilbert bound.- Polynomial factorization using Brill-Noether algorithm.- New bounds on cyclic codes from algebraic curves.- Exponential sums and the Carlitz-Uchiyama bound.- Bounds on the use of the postal channel.- A new authentication algorithm.- A method for finding codewords of small weight.- Generating codewords in real space: Application to decoding.- Weighted decoding of linear block codes by solving a system of implicit equations.- Suboptimum weighted-output symbol-by-symbol decoding of block codes.- Results of generalized minimum distance decoding for block code of rate 1/2.- An overview of recent results in the theory of burst-correcting codes.- Note for computing the minimun polynomial of elements in large finite fields.- A quaternary cyclic code, and a family of quadriphase sequences with low correlation properties.- A simple description of Kerdock codes.- Relation between the minimum weight of a linear code over GF(qm) and its q-ary image over GF(q).- Covering in hypercubes.- More on the plane of order 10.- Linear recurrence relations and an extended subresultant algorithm.- The future pan European mobile radiotelephone system a short overview.- Experimental direct-sequence spread-spectrum digital mobile radio transmission.- Concatenated coding schemes for H.F. (High Frequency) channels.- Bandwidth efficient coding on channels disturbed by jamming and impulse noise.- Error correcting coding scheme against partial time jammers.- Evaluation of a coding design for a very noisy channel / Evaluation d'une Configuration de Codage Pour une Ligne tres Bruitee.- Design and implementation of an asynchronous transmission process by code division multiple access.- Is minimal distance a good criterion?.- Open problem 1: Covering radius of the circuit code.- Open problem 2: Cyclic codes over rings and p-adic fields.

Contents

Codes and character sums.- Codes from some Artin-Schreier curves.- Families of codes exceeding the Varshamov-Gilbert bound.- Polynomial factorization using Brill-Noether algorithm.- New bounds on cyclic codes from algebraic curves.- Exponential sums and the Carlitz-Uchiyama bound.- Bounds on the use of the postal channel.- A new authentication algorithm.- A method for finding codewords of small weight.- Generating codewords in real space: Application to decoding.- Weighted decoding of linear block codes by solving a system of implicit equations.- Suboptimum weighted-output symbol-by-symbol decoding of block codes.- Results of generalized minimum distance decoding for block code of rate 1/2.- An overview of recent results in the theory of burst-correcting codes.- Note for computing the minimun polynomial of elements in large finite fields.- A quaternary cyclic code, and a family of quadriphase sequences with low correlation properties.- A simple description of Kerdock codes.- Relation between the minimum weight of a linear code over GF(qm) and its q-ary image over GF(q).- Covering in hypercubes.- More on the plane of order 10.- Linear recurrence relations and an extended subresultant algorithm.- The future pan European mobile radiotelephone system a short overview.- Experimental direct-sequence spread-spectrum digital mobile radio transmission.- Concatenated coding schemes for H.F. (High Frequency) channels.- Bandwidth efficient coding on channels disturbed by jamming and impulse noise.- Error correcting coding scheme against partial time jammers.- Evaluation of a coding design for a very noisy channel / Evaluation d'une Configuration de Codage Pour une Ligne tres Bruitee.- Design and implementation of an asynchronous transmission process by code division multiple access.- Is minimal distance a good criterion?.- Open problem 1: Covering radius of the circuit code.- Open problem 2: Cyclic codes over rings and p-adic fields.

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