MARC Record from marc_columbia

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001 10785722
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006 m o d
007 cr |n|||||||||
008 130706s2013 gw ob 001 0 eng d
035 $a(OCoLC)ocn851970457
035 $a(NNC)10785722
040 $aEBLCP$beng$epn$cEBLCP$dOCLCO$dOCLCQ$dN$T$dZCU$dLRU$dIDEBK$dCDX$dAZU$dCOO$dYDXCP$dE7B$dOCLCO$dOCLCF$dOCLCQ$dDEBSZ$dDEBBG$dOCLCQ$dOCLCO$dOCL$dOCLCO$dOCLCQ$dAZK$dLOA$dAGLDB$dMOR$dPIFAG$dMERUC$dOCLCQ$dDEGRU$dU3W$dSTF$dWRM$dVTS$dNRAMU$dICG$dINT$dVT2$dAU@$dOCLCQ$dWYU$dTKN$dOCLCQ$dLEAUB$dDKC$dOCLCQ$dM8D$dUKAHL$dOCLCQ$dAJS$dOCLCO
019 $a852656902$a854497688$a893925557$a961596209$a962700732$a1058117250$a1087322852$a1124302781
020 $a9783110283600$q(electronic bk.)
020 $a3110283603$q(electronic bk.)
020 $a1299723578$q(ebk)
020 $a9781299723573$q(ebk)
020 $a9783110282405
020 $a3110282402
035 $a(OCoLC)851970457$z(OCoLC)852656902$z(OCoLC)854497688$z(OCoLC)893925557$z(OCoLC)961596209$z(OCoLC)962700732$z(OCoLC)1058117250$z(OCoLC)1087322852$z(OCoLC)1124302781
037 $a503608$bMIL
050 4 $aQA247.3$b.F555 2013
072 7 $aMAT$x002040$2bisacsh
082 04 $a512/.3$223
049 $aZCUA
245 00 $aFinite fields and their applications :$bcharacter sums and polynomials /$cedited by Pascale Charpin, Alexander Pott, Arne Winterhof.
260 $aBerlin :$bDe Gruyter,$c©2013.
300 $a1 online resource (xi, 274 pages)
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aRadon Series on Computational and Applied Mathematics
504 $aIncludes bibliographical references and index.
505 0 $aPreface; Character Sums and Polyphase Sequence Families with Low Correlation, Discrete Fourier Transform (DFT), and Ambiguity; 1 Introduction; 2 Basic Definitions and Concepts; 2.1 Notations; 2.2 Polynomial Functions over Fq; 2.3 Characters of Finite Fields; 2.4 The Weil Bounds on Character Sums; 3 Correlation, DFT, and Ambiguity Functions; 3.1 Operators on Sequences; 3.2 Correlation Functions; 3.3 Ambiguity Functions; 3.4 Convolution and Correlation; 3.5 Optimal Correlation, DFT, and Ambiguity; 4 Polyphase Sequences for Three Metrics.
505 8 $a4.1 Sequences from the Additive Group of ZN and the Additive Group of Zp; 4.1.1 Frank-Zadoff-Chu (FZC) Sequences; 4.1.2 Another Class for Zn; 4.1.3 Sequences from Fp Additive Characters; 4.2 Sequences from Fp Multiplicative Characters; 4.3 Sequences from Fq Additive Characters; 4.4 Sequences from Fq Multiplicative Characters; 4.5 Sequences Defined by Indexing Field Elements Alternatively; 5 Sequences with Low Degree Polynomials; 5.1 Methods for Generating Signal Sets from a Single Sequence; 5.2 Sequences with Low Odd Degree Polynomials.
505 8 $a5.2.1 Fq Additive Sequences with Low Odd Degree Polynomials; 5.2.2 Fq Multiplicative Sequences with Low Odd Degree Polynomials; 5.3 Sequences from Power Residue and Sidel'nikov Sequences; 5.3.1 Interleaved Structure of Sidel'nikov Sequences; 5.3.2 Sequences from Linear and/or Quadratic/Inverse Polynomials; 5.4 Sequences from Hybrid Characters; 5.4.1 Sequences Using Weil Representation and Their Generalizations; 5.4.2 Generalization to Fq Hybrid Sequences; 5.5 A New Construction; 6 Two-Level Autocorrelation Sequences and Double Exponential Sums; 6.1 Prime Two-Level Autocorrelation Sequences.
505 8 $a6.2 Hadamard Transform, Second-Order Decimation-Hadamard Transform, and Hadamard Equivalence; 6.3 Conjectures on Ternary 2-Level Autocorrelation Sequences; 7 Some Open Problems; 7.1 Current Status of the Conjectures on Ternary 2-Level Autocorrelation; 7.2 Possibility of Multiplicative Sequences with Low Autocorrelation; 7.3 Problems in Four Alternative Classes of Sequences and the General Hybrid Construction; 8 Conclusions; Measures of Pseudorandomness; 1 Introduction; 2 Definition of the Pseudorandom Measures; 3 Typical Values of Pseudorandom Measures; 4 Minimum Values of Pseudorandom Measures.
505 8 $a5 Connection between Pseudorandom Measures; 6 Constructions; 7 Family Measures; 8 Linear Complexity; 9 Multidimensional Theory; 10 Extensions; Existence Results for Finite Field Polynomials with Specified Properties; 1 Introduction; 2 A Survey of Known Results; 2.1 Normal Bases; 2.2 Primitive Normal Bases; 2.3 Prescribed Coefficients; 2.4 Primitive Polynomials: Prescribed Coefficients; 2.5 Primitive Normal Polynomials: Prescribed Coefficients; 3 A Survey of Methodology and Techniques; 3.1 Basic Approach; 3.2 A p-adic Approach to Coefficient Constraints; 3.3 The Sieving Technique; 4 Conclusion.
520 $a"This 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. 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."--Publisher's website.
588 0 $aPrint version record.
650 0 $aFinite fields (Algebra)$vCongresses.
650 0 $aMathematics$vCongresses.
650 0 $aTelecommunication systems$vCongresses.
650 0 $aElectronics$vCongresses.
650 6 $aCorps finis$vCongrès.
650 6 $aMathématiques$vCongrès.
650 6 $aSystèmes de télécommunications$vCongrès.
650 6 $aÉlectronique$vCongrès.
650 7 $aMATHEMATICS$xAlgebra$xIntermediate.$2bisacsh
650 7 $aElectronics.$2fast$0(OCoLC)fst00907538
650 7 $aFinite fields (Algebra)$2fast$0(OCoLC)fst00924905
650 7 $aMathematics.$2fast$0(OCoLC)fst01012163
650 7 $aTelecommunication systems.$2fast$0(OCoLC)fst01146038
655 0 $aElectronic books.
655 4 $aElectronic books.
655 7 $aConference papers and proceedings.$2fast$0(OCoLC)fst01423772
700 1 $aCharpin, P.$q(Pascale),$d1949-
700 1 $aPott, Alexander,$d1961-
700 1 $aWinterhof, Arne.
776 08 $iPrint version:$tFinite fields and their applications.$dBerlin : De Gruyter, [2013]$z9783110282405$w(DLC) 2013007221$w(OCoLC)830646502
830 0 $aRadon series on computational and applied mathematics.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio10785722$zAll EBSCO eBooks
852 8 $blweb$hEBOOKS