MARC Record from harvard_bibliographic_metadata

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008 121227s1992 ne | s ||0| 0|eng d
020 $a9789401118064
020 $a9789401118064
020 $a9789401047968
024 7 $a10.1007/978-94-011-1806-4$2doi
035 $a(Springer)9789401118064
040 $aSpringer
050 4 $aQA161.A-161.Z
050 4 $aQA161.P59
072 7 $aPBF$2bicssc
072 7 $aMAT002010$2bisacsh
082 04 $a512.3$223
100 1 $aShparlinski, Igor E.,$eauthor.
245 10 $aComputational and Algorithmic Problems in Finite Fields /$cby Igor E. Shparlinski.
264 1 $aDordrecht :$bSpringer Netherlands :$bImprint: Springer,$c1992.
300 $aXII, 240 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aMathematics and Its Applications (Soviet Series),$x0169-6378 ;$v88
520 $aThis volume presents an exhaustive treatment of computation and algorithms for finite fields. Topics covered include polynomial factorization, finding irreducible and primitive polynomials, distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types, and new applications of finite fields to other araes of mathematics. For completeness, also included are two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number generators, modular arithmetic etc.), and computational number theory (primality testing, factoring integers, computing in algebraic number theory, etc.) The problems considered here have many applications in computer science, coding theory, cryptography, number theory and discrete mathematics. The level of discussion presuppose only a knowledge of the basic facts on finite fields, and the book can be recommended as supplementary graduate text. For researchers and students interested in computational and algorithmic problems in finite fields.
650 10 $aMathematics.
650 0 $aField theory (Physics)
650 0 $aMathematics.
650 0 $aInformation theory.
650 0 $aAlgebra$xData processing.
650 24 $aField Theory and Polynomials.
650 24 $aSymbolic and Algebraic Manipulation.
650 24 $aTheory of Computation.
776 08 $iPrinted edition:$z9789401047968
830 0 $aMathematics and Its Applications (Soviet Series) ;$v88.
988 $a20131119
906 $0VEN