LEADER 04929nam 22007693 450 001 9910661589203321 005 20240313125316.0 024 7 $a10.1515/9783110283600 035 $a(CKB)2670000000392839 035 $a(EBL)1113304 035 $a(OCoLC)851970457 035 $a(SSID)ssj0000916823 035 $a(PQKBManifestationID)11562469 035 $a(PQKBTitleCode)TC0000916823 035 $a(PQKBWorkID)10877955 035 $a(PQKB)10577055 035 $a(MiAaPQ)EBC1113304 035 $a(DE-B1597)176063 035 $a(OCoLC)847730140 035 $a(DE-B1597)9783110283600 035 $a(Au-PeEL)EBL1113304 035 $a(CaPaEBR)ebr10729075 035 $a(CaONFJC)MIL503608 035 $a(ScCtBLL)677df139-055a-47ec-befa-cc6bd81f3471 035 $a(OCoLC)1154302439 035 $a(EXLCZ)992670000000392839 100 $a20130315d2013 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aFinite fields and their applications $echaracter sums and polynomials /$fedited by Pascale Charpin, Alexander Pott, Arne Winterhof 205 $a1st ed. 210 $aBerlin ;$aBoston $cDe Gruyter$dc2013 215 $a1 online resource (288 p.) 225 1 $aRadon series on computational and applied mathematics,$x1865-3707 ;$vv. 11 300 $aBased on the RICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials, held at the Federal Institute for Adult Education in Strobl, Austria, September 2-7, 2012. 311 0 $a9783110283600 311 0 $a3110283603 311 0 $a9783110282405 311 0 $a3110282402 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tPreface --$tContents --$tCharacter Sums and Polyphase Sequence Families with Low Correlation, Discrete Fourier Transform (DFT), and Ambiguity /$rGong, Guang --$tMeasures of Pseudorandomness /$rGyarmati, Katalin --$tExistence Results for Finite Field Polynomials with Specified Properties /$rHuczynska, Sophie --$tIncidence Structures, Codes, and Galois Geometries /$rJungnickel, Dieter --$tSpecial Mappings of Finite Fields /$rKyureghyan, Gohar M. --$tOn The Classification of Perfect Nonlinear (PN) and Almost Perfect Nonlinear (APN) Monomial Functions /$rHernando, Fernando / McGuire, Gary --$tFinite Fields and Quasirandom Points /$rNiederreiter, Harald --$tIterations of Rational Functions: Some Algebraic and Arithmetic Aspects /$rOstafe, Alina --$tAdditive Combinatorics over Finite Fields: New Results and Applications /$rShparlinski, Igor E. --$tIndex --$tBackmatter 330 $aThis book is based on the invited talks of the "RICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials" held at the Federal Institute for Adult Education (BIfEB) in Strobl, Austria, from September 2-7, 2012. Finite fields play important roles in many application areas such as coding theory, cryptography, Monte Carlo and quasi-Monte Carlo methods, pseudorandom number generation, quantum computing, and wireless communication. In this book we will focus on sequences, character sums, and polynomials over finite fields in view of the above mentioned application areas: Chapters 1 and 2 deal with sequences mainly constructed via characters and analyzed using bounds on character sums. Chapters 3, 5, and 6 deal with polynomials over finite fields. Chapters 4 and 9 consider problems related to coding theory studied via finite geometry and additive combinatorics, respectively. Chapter 7 deals with quasirandom points in view of applications to numerical integration using quasi-Monte Carlo methods and simulation. Chapter 8 studies aspects of iterations of rational functions from which pseudorandom numbers for Monte Carlo methods can be derived. The goal of this book is giving an overview of several recent research directions as well as stimulating research in sequences and polynomials under the unified framework of character theory. 410 0$aRadon series on computational and applied mathematics ;$v11. 606 $aFinite fields (Algebra)$vCongresses 606 $aMathematics$vCongresses 606 $aTelecommunication systems$vCongresses 606 $aElectronics$vCongresses 615 0$aFinite fields (Algebra) 615 0$aMathematics 615 0$aTelecommunication systems 615 0$aElectronics 676 $a512/.3 676 $a512.3 701 $aCharpin$b P$g(Pascale),$f1949-$0850976 701 $aPott$b Alexander$f1961-$060997 701 $aWinterhof$b Arne$0755644 712 12$aRICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials$f(2012 :$eStrobl, Austria) 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910661589203321 996 $aFinite fields and their applications$91900079 997 $aUNINA