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Algebraic Algorithms and Error-Correcting Codes : 3rd International Conference, Aaecc-3, Grenoble, France, July 15-19, 1985. Proceedings.

By: Calmet, Jaques [editor]Material type: TextTextSeries: Serienbezeichnung | Lecture Notes in Computer Science SerPublication details: New York : Springer, Aug. 1986. Description: 1 online resource (415 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540167761; 3540167765; 9783540398554; 3540398554Subject(s): Engineering | Computer software | Telecommunication | Computer software | Engineering | TelecommunicationGenre/Form: Electronic books. Additional physical formats: Printed edition:: No titleDDC classification: 621.382 LOC classification: TK1-9971Online resources: Click here to access online
Contents:
On the arithmetics of Galoisfields and the like -- On strongly tactical codes -- Integer programming applied to eigenvector computation in a class of Markov processes -- A minimum system of generators for extended cyclic codes which are invariant under the affine group -- Some algebraic tools for error-correcting codes -- On computing the performance probabilities of Reed-Solomon codes -- Numerical experiments related to the covering radius of some first order Reed-Muller codes -- Several aspects of problems encountered in coding applications -- Software simulation of data transmission using error-correcting codes, through an awgn channel -- Algebraic methods for constructing asymmetric cryptosystems -- Covering radii of even subcodes of t-dense codes -- Orthogonal transform encoding of cyclic codes -- On s-sum-sets and projective codes -- Pseudo-triple-sum-sets and association schemes -- A decoding algorithm for linear codes -- The finite Fourier-transform and theta functions -- Recent results on coding and algebraic geometry -- Some properties of elliptic codes over a field of characteristic 2 -- Self-dual codes 2n circulant over Fq (q=2r) -- Automorphisms and isometries of some modular algebras -- A lower bound for the bilinear complexity of some semisimple lie algebras -- On computational complexity of some algebraic curves over finite fields -- Some group presentations and enforcing the associative law -- Fast computation of linear finite-dimensional operators over arbitrary rings -- Quantifier elimination for real closed fields -- Efficient decision algorithms for locally finite theories -- The algorithmic structure of $$\mathfrak{s}\mathfrak{l}(2,k)$$ -- Optimal algorithms for finite dimensional simply generated algebras -- On a little but useful algorithm -- Computation of independent units in number fields by Dirichlet's method -- Some upper bounds for the multiplicity of an autoreduced subset of N m and their applications -- Exact computation of the characteristic polynomial of an integer matrix -- An analysis of the Krönecker algorithm for factorization of algebraic polynomials -- Polynomial factorization over?[X] -- The L-machine: An attempt at parallel hardware for symbolic computation -- An interactive graphical interface for symbolic algebra systems -- Groebner bases for non-commutative polynomial rings -- Extending the binary GCD algorithm -- Integration of rational functions in SAC-2 -- Heuristic bivariate lifting -- Optimal evaluation of algebraic expressions -- On deleting links in semantic graphs -- Erratum.
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On the arithmetics of Galoisfields and the like -- On strongly tactical codes -- Integer programming applied to eigenvector computation in a class of Markov processes -- A minimum system of generators for extended cyclic codes which are invariant under the affine group -- Some algebraic tools for error-correcting codes -- On computing the performance probabilities of Reed-Solomon codes -- Numerical experiments related to the covering radius of some first order Reed-Muller codes -- Several aspects of problems encountered in coding applications -- Software simulation of data transmission using error-correcting codes, through an awgn channel -- Algebraic methods for constructing asymmetric cryptosystems -- Covering radii of even subcodes of t-dense codes -- Orthogonal transform encoding of cyclic codes -- On s-sum-sets and projective codes -- Pseudo-triple-sum-sets and association schemes -- A decoding algorithm for linear codes -- The finite Fourier-transform and theta functions -- Recent results on coding and algebraic geometry -- Some properties of elliptic codes over a field of characteristic 2 -- Self-dual codes 2n circulant over Fq (q=2r) -- Automorphisms and isometries of some modular algebras -- A lower bound for the bilinear complexity of some semisimple lie algebras -- On computational complexity of some algebraic curves over finite fields -- Some group presentations and enforcing the associative law -- Fast computation of linear finite-dimensional operators over arbitrary rings -- Quantifier elimination for real closed fields -- Efficient decision algorithms for locally finite theories -- The algorithmic structure of $$\mathfrak{s}\mathfrak{l}(2,k)$$ -- Optimal algorithms for finite dimensional simply generated algebras -- On a little but useful algorithm -- Computation of independent units in number fields by Dirichlet's method -- Some upper bounds for the multiplicity of an autoreduced subset of N m and their applications -- Exact computation of the characteristic polynomial of an integer matrix -- An analysis of the Krönecker algorithm for factorization of algebraic polynomials -- Polynomial factorization over?[X] -- The L-machine: An attempt at parallel hardware for symbolic computation -- An interactive graphical interface for symbolic algebra systems -- Groebner bases for non-commutative polynomial rings -- Extending the binary GCD algorithm -- Integration of rational functions in SAC-2 -- Heuristic bivariate lifting -- Optimal evaluation of algebraic expressions -- On deleting links in semantic graphs -- Erratum.

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