LEADER 06096nam 22007935 450 001 996465552303316 005 20200704133520.0 010 $a3-540-47489-7 024 7 $a10.1007/3-540-54195-0 035 $a(CKB)1000000000233664 035 $a(SSID)ssj0000321343 035 $a(PQKBManifestationID)11231235 035 $a(PQKBTitleCode)TC0000321343 035 $a(PQKBWorkID)10263265 035 $a(PQKB)10249065 035 $a(DE-He213)978-3-540-47489-0 035 $a(PPN)155224042 035 $a(EXLCZ)991000000000233664 100 $a20121227d1991 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] $e8th International Conference, AAECC-8, Tokyo, Japan, August 20-24, 1990. Proceedings /$fedited by Shojiro Sakata 205 $a1st ed. 1991. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1991. 215 $a1 online resource (XI, 393 p.) 225 1 $aLecture Notes in Computer Science,$x0302-9743 ;$v508 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-54195-0 327 $aCovering radius and writing on memories -- Geometric problems solvable in single exponential time -- A description of the [16,7,6] codes -- Periodic sequences for absolute type shaft encoders -- Error-coded algorithms for on-line arithmetic -- Constructions of codes correcting burst asymmetric errors -- A construction method for m-ary unidirectional error control codes -- Feasible calculation of the generator for combined LFSR sequences -- Substitution of characters in q-ary m-sequences -- Pseudo-polyphase orthogonal sequence sets with good cross-correlation property -- Real-valued bent function and its application to the design of balanced quadriphase sequences with optimal correlation properties -- Coded modulation with generalized multiple concatenation of block codes -- Trellis coded modulation based on time-varying mapping and encoders for utilizing a channel intersymbol interference -- Use of the algebraic coding theory in nuclear electronics -- Some ideas about fault-tolerant Chinese Remaindering -- On a categorial isomorphism between a class of Completely Regular Codes and a class of Distance Regular Graphs -- Single exponential path finding in semialgebraic sets Part I: The case of a regular bounded hypersurface -- On the complexity of algebraic power series -- Local decomposition algorithms -- An asymptotically fast probabilistic algorithm for computing polynomial GCD's over an algebraic number field -- Some algebra with formal matrices -- Implicitization of rational parametric curves and surfaces -- An inequality about irreducible factors of integer polynomials (II) -- The symplectic trilinear mappings; an algorithmic approach of the classification; case of the field GF(3) -- A Gröbner basis and a minimal polynomial set of a finite nD array -- Bounds for degrees and number of elements in Gröbner bases -- Standard bases of differential ideals -- Complexity of standard bases in projective dimension zero II -- Systolic architectures for multiplication over finite field GF(2m) -- PARSAC-2: A parallel SAC-2 based on threads -- Exponentiation in finite fields using dual basis multiplier -- Applications of Cayley graphs -- Duality between two cryptographic primitives. 330 $aThe AAECC conferences focus on the algebraic aspects of modern computer science, which include the most up-to-date and advanced topics. The topic of error-correcting codes is one where theory and implementation are unified into a subject both of mathematical beauty and of practical importance. Algebraic algorithms are not only interesting theoretically but also important in computer and communication engineering and many other fields. This volume contains the proceedings of the 8th AAECC conference, held in Tokyo in August 1990. Researchers from Europe, America, Japan and other regions of the world presented papers at the conference. The papers present new results of recent theoretical and application-oriented research on applied algebra, algebraic algorithms and error-correcting codes. 410 0$aLecture Notes in Computer Science,$x0302-9743 ;$v508 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aAlgebra 606 $aComputers 606 $aCoding theory 606 $aInformation theory 606 $aComputer science?Mathematics 606 $aCombinatorics 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000 606 $aTheory of Computation$3https://scigraph.springernature.com/ontologies/product-market-codes/I16005 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 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aAlgebra. 615 0$aComputers. 615 0$aCoding theory. 615 0$aInformation theory. 615 0$aComputer science?Mathematics. 615 0$aCombinatorics. 615 14$aApplications of Mathematics. 615 24$aAlgebra. 615 24$aTheory of Computation. 615 24$aCoding and Information Theory. 615 24$aSymbolic and Algebraic Manipulation. 615 24$aCombinatorics. 676 $a512/.00285 702 $aSakata$b Shojiro$4edt$4http://id.loc.gov/vocabulary/relators/edt 712 12$aAAECC-8 906 $aBOOK 912 $a996465552303316 996 $aApplied Algebra, Algebraic Algorithms and Error-Correcting Codes$9772419 997 $aUNISA