LEADER 05676nam 22008055 450 001 996465391903316 005 20200704184709.0 010 $a3-540-69193-6 024 7 $a10.1007/3-540-63163-1 035 $a(CKB)1000000000234660 035 $a(SSID)ssj0000321346 035 $a(PQKBManifestationID)11255500 035 $a(PQKBTitleCode)TC0000321346 035 $a(PQKBWorkID)10279838 035 $a(PQKB)10364443 035 $a(DE-He213)978-3-540-69193-8 035 $a(PPN)155199765 035 $a(EXLCZ)991000000000234660 100 $a20121227d1997 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aApplied Algebra, Algebraic Algorithms and Error-Correcting Codes$b[electronic resource] $e12th International Symposium, AAECC-12, Toulouse, France, June, 23-27, 1997, Proceedings /$fedited by Teo Mora, Harold F. Mattson 205 $a1st ed. 1997. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1997. 215 $a1 online resource (X, 362 p.) 225 1 $aLecture Notes in Computer Science,$x0302-9743 ;$v1255 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-63163-1 327 $aMinimun 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 -- The symmetry group of ? q n in the Lee space and the ? q n-linear codes -- On repeated-root cyclic codes and the two-way chain condition -- Exponentiation in finite fields: Theory and practice -- Computing minimum-link path in a homotopy class amidst semi-algebraic obstacles in the plane -- Certain self-dual codes over ?4 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 -- The split weight (w L , w R ) enumeration of Reed-Muller codes for w L +w R d min -- Optimal linear codes of dimension 4 over GF(5) -- 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 -- Extension theorems for linear codes over finite rings -- Nonperiodic cyclic equivalence classes of cyclic codes and algebraic constructions of cyclically permutable codes. 330 $aThis book constitutes the strictly refereed proceedings of the 12th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-12, held in Toulouse, France, June 1997. The 27 revised full papers presented were carefully selected by the program committee for inclusion in the volume. The papers address a broad range of current issues in coding theory and computer algebra spanning polynomials, factorization, commutative algebra, real geometry, group theory, etc. on the mathematical side as well as software systems, telecommunication, complexity theory, compression, signal processing, etc. on the computer science and engineering side. 410 0$aLecture Notes in Computer Science,$x0302-9743 ;$v1255 606 $aComputers 606 $aAlgebra 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aCoding theory 606 $aInformation theory 606 $aComputer science?Mathematics 606 $aNumerical analysis 606 $aTheory of Computation$3https://scigraph.springernature.com/ontologies/product-market-codes/I16005 606 $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aCoding and Information Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/I15041 606 $aSymbolic and Algebraic Manipulation$3https://scigraph.springernature.com/ontologies/product-market-codes/I17052 606 $aNumeric Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/I1701X 615 0$aComputers. 615 0$aAlgebra. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aCoding theory. 615 0$aInformation theory. 615 0$aComputer science?Mathematics. 615 0$aNumerical analysis. 615 14$aTheory of Computation. 615 24$aAlgebra. 615 24$aApplications of Mathematics. 615 24$aCoding and Information Theory. 615 24$aSymbolic and Algebraic Manipulation. 615 24$aNumeric Computing. 676 $a005.7/2 702 $aMora$b Teo$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMattson$b Harold F$4edt$4http://id.loc.gov/vocabulary/relators/edt 712 12$aAAECC-12 906 $aBOOK 912 $a996465391903316 996 $aApplied Algebra, Algebraic Algorithms and Error-Correcting Codes$9772419 997 $aUNISA