LEADER 05876nam 22008655 450 001 9910483746003321 005 20251226202211.0 010 $a1-280-38738-6 010 $a9786613565303 010 $a3-642-13797-0 024 7 $a10.1007/978-3-642-13797-6 035 $a(CKB)2670000000028918 035 $a(SSID)ssj0000446306 035 $a(PQKBManifestationID)11312192 035 $a(PQKBTitleCode)TC0000446306 035 $a(PQKBWorkID)10506304 035 $a(PQKB)11352311 035 $a(DE-He213)978-3-642-13797-6 035 $a(MiAaPQ)EBC3065456 035 $a(PPN)14906408X 035 $a(BIP)31003152 035 $a(EXLCZ)992670000000028918 100 $a20100626d2010 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aArithmetic of Finite Fields $eThird International Workshop, WAIFI 2010, Istanbul, Turkey, June 27-30, 2010, Proceedings /$fedited by M. Anwar Hasan, Tor Helleseth 205 $a1st ed. 2010. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2010. 215 $a1 online resource (280 p. 41 illus.) 225 1 $aTheoretical Computer Science and General Issues,$x2512-2029 ;$v6087 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-642-13796-2 320 $aIncludes bibliographical references and index. 327 $aInvited Talk 1 -- Recursive Towers of Function Fields over Finite Fields -- Efficient Finite Field Arithmetic -- High-Performance Modular Multiplication on the Cell Processor -- A Modified Low Complexity Digit-Level Gaussian Normal Basis Multiplier -- Type-II Optimal Polynomial Bases -- Pseudo-random Numbers and Sequences -- Pseudorandom Vector Sequences Derived from Triangular Polynomial Systems with Constant Multipliers -- Structure of Pseudorandom Numbers Derived from Fermat Quotients -- Boolean Functions -- Distribution of Boolean Functions According to the Second-Order Nonlinearity -- Hyper-bent Boolean Functions with Multiple Trace Terms -- Invited Talk 2 -- On the Efficiency and Security of Pairing-Based Protocols in the Type 1 and Type 4 Settings -- Functions, Equations and Modular Multiplication -- Switching Construction of Planar Functions on Finite Fields -- Solving Equation Systems by Agreeing and Learning -- Speeding Up Bipartite Modular Multiplication -- Finite Field Arithmetic for Pairing Based Cryptography -- Constructing Tower Extensions of Finite Fields for Implementation of Pairing-Based Cryptography -- Delaying Mismatched Field Multiplications in Pairing Computations -- Invited Talk 3 -- Regenerating Codes for Distributed Storage Networks -- Finite Fields, Cryptography and Coding -- On Rationality of the Intersection Points of a Line with a Plane Quartic -- Reflections about a Single Checksum -- Efficient Time-Area Scalable ECC Processor Using ?-Coding Technique. 330 $aThese are the proceedings of WAIFI 2010,the Third International Workshop on theArithmeticofFiniteFields,heldinIstanbul,Turkey,duringJune27-30,2010. The ?rst workshop, WAIFI 2007, was held in Madrid, Spain, and then WAIFI 2008 was held in Siena, Italy. In 2008, the workshop series was made biannual and it is now being held every even year, bringing together mathematicians, computer scientists, engineers and physicists who are doing research on various aspects of ?nite ?eld arithmetic. This year the workshop received 33 submissions, each of which was reviewed by at least three reviewerswho were either members of the ProgramCommittee of the workshop or external reviewers chosen by the members. Once the review phase was over, the Program Committee had online discussions over a period of several days. In the end, a total of 15 papers representing both theoretical and practical aspects of ?nite ?eld arithmetic were accepted for presentation. These accepted papers are part of these proceedings. In addition to the presentations of these papers, we were fortunate to have three invited talks given by P. Vijay Kumar,Alfred Menezes andHenning Stichtenoth. Thepapers,whichthe invited talks were based on, are also part of the proceedings. We are very grateful to the members of the Program Committee for their dedication, professionalism and careful work with the review and selection p- cess. We also sincerely thank the external reviewers who contributed with their special expertise to review papers for this workshop. 410 0$aTheoretical Computer Science and General Issues,$x2512-2029 ;$v6087 606 $aComputer programming 606 $aComputer science$xMathematics 606 $aDiscrete mathematics 606 $aAlgorithms 606 $aCryptography 606 $aData encryption (Computer science) 606 $aComputer networks 606 $aProgramming Techniques 606 $aSymbolic and Algebraic Manipulation 606 $aDiscrete Mathematics in Computer Science 606 $aAlgorithms 606 $aCryptology 606 $aComputer Communication Networks 615 0$aComputer programming. 615 0$aComputer science$xMathematics. 615 0$aDiscrete mathematics. 615 0$aAlgorithms. 615 0$aCryptography. 615 0$aData encryption (Computer science). 615 0$aComputer networks. 615 14$aProgramming Techniques. 615 24$aSymbolic and Algebraic Manipulation. 615 24$aDiscrete Mathematics in Computer Science. 615 24$aAlgorithms. 615 24$aCryptology. 615 24$aComputer Communication Networks. 676 $a512.32 701 $aHasan$b M. Anwar$01757028 701 $aHelleseth$b Tor$01221180 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483746003321 996 $aArithmetic of finite fields$94198198 997 $aUNINA