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检索条件"任意字段=17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes"

共 33 条记录，以下是11-20 订阅

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Ideal error-correcting codes: Unifying algebraic and number-theoretic algorithms 14th

Ideal error-correcting codes: Unifying algebraic and number-...

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14th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC 2001

作者： Sudan, Madhu MIT Laboratory for Computer Science 200 Technology Square CambridgeMA2139 United States

ISBN: (纸本)9783540456247

Over the past five years a number of algorithms decoding some well-studied error-correcting codes far beyond their "error-correcting radii" have been developed. these algorithms, usually termed as listdecoding algorithms, originated with a list-decoder for Reed-Solomon codes [36, 17], and were soon extended to decoders for algebraic Geometry codes [33, 17] and also to some number-theoretic codes [12, 6, 16]. In addition to their enhanced decoding capability, these algorithms enjoy the benefit of being conceptually simple, fairly general [16], and are capable of exploiting soft-decision information in algebraic decoding [24]. this article surveys these algorithms and highlights some of these features. © Springer-Verlag Berlin Heidelberg 2001.

关键词： Reed-Solomon codes

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13th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC-13

13th International Symposium on Applied Algebra, Algebraic A...

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13th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC 1999

ISBN: (纸本)3540667237

the proceedings contain 48 papers. the special focus in this conference is on codes and Iterative Decoding. the topics include: A survey for algebraists;RA codes achieve AWGN channel capacity;monomial ideals and planar graphs;a fast program generator of fast fourier transforms;on integer programming problems related to soft-decision iterative decoding algorithms;curves with many points and their applications;new sequences of linear time erasure codes approaching the channel capacity;on the theory of low-density convolutional codes;on the distribution of nonlinear recursive congruential pseudorandom numbers of higher orders;a new representation of boolean functions;sequences from cocycles;on the second greedy weight for binary linear codes;on the size of identifying codes;fast quantum fourier transforms for a class of non-abelian groups;linear codes and rings of matrices;some results on generalized concatenation of block codes;near optimal decoding for TCM using the BIVA and trellis shaping;an optimality testing algorithm for a decoded codeword of binary block codes and its computational complexity;recursive MDS-codes and pseudogeometries and strength of MISTY1 without FL function for higher order differential attack.

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On binary/ternary error-correcting codes with minimum distance 4 13th

On binary/ternary error-correcting codes with minimum distan...

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13th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC 1999

作者： Östergård, Patric R. J. Department of Computer Science and Engineering Helsinki University of Technology P.O. Box 5400 HUT02015 Finland

ISBN: (纸本)3540667237

We consider error-correcting codes over mixed alphabets with n 2 binary and n3 ternary coordinates, and denote the maximum cardinality of such a code with minimum distance d by N(n 2,n 3,d). We here study this function for short codes (n 2+3 ≤13) and d = 4.A computeraided method is used to settle 14 values, and bounds for 34 other entries are improved. In the method used, codes are built up from smaller codes using backtracking and isomorphism rejection. codes of short length are further classified. © Springer-Verlag Berlin Heidelberg 1999.

关键词： codes (symbols)

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the euclidean algorithm and primitive polynomials over finite fields 13th

The euclidean algorithm and primitive polynomials over finit...

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13th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC 1999

作者： Bond, James W. Hui, Stefen Schmidt, Hank Science Applications International Corp San DiegoCA92110 United States San Diego State University San DiegoCA92182 United States Technology Service Corporation Silver SpringMD20910 United States

ISBN: (纸本)3540667237

In this paper, we study the quotients that arise when the Euclidean algorithm is applied to a primitive polynomial and xs - 1. We analyze the asymptotic behavior of the the number of terms of the quotients as n →∞this problem comes from the study of Low-Density Parity-Check codes. We obtain two characterizations of primitive polynomials over the field with two elements that are based on the number of nonzero terms in two polynomials obtained via division and the Euclidean algorithm with polynomials of the form xs - 1. the analogous results do not hold for general finite fields but do restrict the order of the polynomials to a small set of positive integers with specific forms. © Springer-Verlag Berlin Heidelberg 1999.

关键词： Polynomials

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12th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC 1997

12th International Symposium on Applied Algebra, Algebraic A...

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12th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC 1997

ISBN: (纸本)3540631631

the proceedings contain 27 papers. the special focus in this conference is on applied algebra, algebraic algorithms and error-correcting codes. the topics include: Minimum 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;on repeated-root cyclic codes and the two-way chain condition;exponentiation in finite fields;computing minimum-link path in a homotopy class amidst semi-algebraic obstacles in the plane;certain self-dual codes over Z4 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;optimal linear codes of dimension 4 over GF5;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 and nonperiodic cyclic equivalence classes of cyclic codes and algebraic constructions of cyclically permutable codes.

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applied algebra, algebraic algorithms and error-correcting codes: 11th international symposium, AAECC-11 Paris, France, July 17–22, 1995 proceedings 11th

Applied algebra, algebraic algorithms and error-correcting c...

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11th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC 1995

作者： Cohen, Gérard Giusti, Marc Mora, Teo École nationale supérieure des télécommunications 46 rue Barrault Paris Cedex 13F-75634 France Laboratoire GAGE École polytechnique Palaiseau CedexF-91128 France Dipartimento di Matematica Università di Genova Via L.B. Alberti 4 GenovaI-16132 Italy

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11th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC 1995

11th International Symposium on Applied Algebra, Algebraic A...

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11th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC 1995

ISBN: (纸本)9783540601142

the proceedings contain 37 papers. the special focus in this conference is on applied algebra, algebraic algorithms and error-correcting codes. the topics include: Chemical isomerism, a challenge for algebraic combinatorics and for computer science;on algebraic methods in covering radius problems;how lower and upper complexity bounds meet in elimination theory;bivariate polynomial multiplication patterns;division of entire functions by polynomial ideals;variations on minimal codewords in linear codes;on the computation of the radical of polynomial complete intersection ideals;fast exponentation in cryptography;on maximal spherical codes I;formal computation of galois groups with relative resolvents;isometry classes of indecomposable linear codes;using symmetric functions to describe the solution set of a zero dimensional ideal;triangular systems and factorized grobner bases;computation in algebraic function fields for effective construction of algebraic-geometric codes;singly-even self-dual codes and hadamard matrices;implicitization of curves parameterized by generalized trigonometric polynomials;mixed covering codes with two binary and four ternary coordinates;about approximations of exponentials;a note on normal bases;on the covering radius of long goppa codes;integration of multivariate rational functions given by straight-line programs;polynomial gcd computations over towers of algebraic extensions;displacements of matrix products;testing identities of series defined by algebraic partial differential equations;the complexity of formal resolution of linear partial differential equations and a fast parallel implementation of the Berlekamp-Massey algorithm with a one-D systolic array architecture.

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10th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC - 10 1993

10th International Symposium on Applied Algebra, Algebraic A...

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10th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC - 10 1993

ISBN: (纸本)9783540566861

the proceedings contain 28 papers. the special focus in this conference is on applied algebra, algebraic algorithms and error-correcting codes. the topics include: Sequence based methods for data transmission and source compression;on the apparent duality of the kerdock and preparata codes;bounds for codes as solutions of extremnm problems for systems of orthogonal polynomials;systems of algebraic equations solved by means of endomorphisms;criteria for sequence set design in CDMA communications;nature of field extensions: return of the killer tag variables;an efficient algorithm for the sparse mixed resultant;some features of binary block codes for correcting asymmetric errors;fixed-parameter complexity and cryptography;a class of algebraic geometric codes from curves in high-dimensional projective spaces;a new class of sequences;a zero-test and an interpolation algorithm for the shifted sparse polynomials;parallelization of quantifier elimination on a workstation network;relations among lie formal series and construction of symplectic integrators;exponential sums as discrete fourier transform with invariant phase functions;application of finite fields to memory interleaving;an elementary proof of a partial improvement to the Ax-Katz theorem;energy functions associated with error-correcting codes;on determining all codes in semi-simple group rings;on hyperbolic cascaded reed-solomon codes;peak-shift and bit error-correction with channel side information in runlength-limited sequences;two chosen plaintext attacks on the Li-Wang joint authentication and encryption scheme;some constructions of perfect binary codes.

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Some features of binary block codes for correcting asymmetric errors 10th

Some features of binary block codes for correcting asymmetri...

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10th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC - 10 1993

作者： Fang, G. van Tilborg, H.C.A. Sun, F.W. Honkala, I.S. Department of Mathematics and Computing Science Eindhoven University of Technology P.O. Box 513 Eindhoven5600 MB Netherlands Department of Mathematics University of Turku Turku 5020500 Finland

ISBN: (纸本)9783540566861

Binary block codes for correcting asymmetric errors are called binary AsEC block codes. With the properties of perfect codes for the binary symmetric channel in mind, natural definitions of perfect, weakly perfect and uniformly weakly perfect binary AsEC block codes are given and their properties are studied. It is shown that a perfect asymmetric-error-correcting code is trivial or is equal to the repetition code. Also, it is proved that any weakly perfect code which is nontrivial can always be enlarged to a bigger code of the same length and the same distance. As necessary ingredients for the proofs of those two results, several related properties of codes for correcting asymmetric errors are studied as well. © 1993, Springer Verlag. All rights reserved.

关键词： Block codes

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Energy functions associated with error-correcting codes 10th

Energy functions associated with error-correcting codes

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10th international symposium on applied algebra, algebraic algorithms and error-correcting codes, AAECC - 10 1993

作者： Rentería, C. Tapia-Recillas, H. Escuela Superior de Física y Matemáticas I.P.N Mexico Dpto de Matemáticas U. A. Metropolitana-I Apartado Postal 55-534 MéxicoDF09340 Mexico

ISBN: (纸本)9783540566861

A function associated with a linear error-correcting code defined over a finite field with q elements, where q is a power of a prime p, is introduced. this function is a generalization of the energy function associated with a linear block code over the field p as described by Bruck and Blaum in [1]. It is proven to have similar properties. In particular, the Maximum Likelihood Decoding (MLD) problem is shown to be characterized by the maximization of this function. © 1993, Springer Verlag. All rights reserved.

关键词： error correction

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