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LEADER 00000cam  2200817Mi 4500 
001    851970457 
003    OCoLC 
005    20180309083309.1 
006    m     o  d         
007    cr |n||||||||| 
008    130706s2013    gw      ob    001 0 eng d 
019    852656902|a854497688|a893925557|a961596209|a962700732 
020    9783110283600|q(electronic bk.) 
020    3110283603|q(electronic bk.) 
020    1299723578|q(ebk) 
020    9781299723573|q(ebk) 
020    9783110282405 
020    3110282402 
035    (OCoLC)851970457|z(OCoLC)852656902|z(OCoLC)854497688
       |z(OCoLC)893925557|z(OCoLC)961596209|z(OCoLC)962700732 
037    503608|bMIL 
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049    MTUM 
050  4 QA247.3|b.F555 2013 
072  7 MAT|x002040|2bisacsh 
082 04 512/.3|223 
245 00 Finite fields and their applications :|bcharacter sums and
       polynomials /|cedited by Pascale Charpin, Alexander Pott, 
       Arne Winterhof. 
264  1 Berlin :|bDe Gruyter,|c[2013] 
264  4 |c©2013 
300    1 online resource (xi, 274 pages). 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
347    text file|2rdaft|0http://rdaregistry.info/termList/
       fileType/1002 
490 1  Radon Series on Computational and Applied Mathematics 
504    Includes bibliographical references and index. 
505 0  Preface; 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  4.1 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  5.2.1 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  6.2 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  5 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    "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  Print version record. 
650  0 Finite fields (Algebra)|0http://id.loc.gov/authorities/
       subjects/sh85048351|vCongresses.|0http://id.loc.gov/
       authorities/subjects/sh99001533 
650  0 Mathematics|0http://id.loc.gov/authorities/subjects/
       sh85082139|vCongresses.|0http://id.loc.gov/authorities/
       subjects/sh99001533 
650  0 Telecommunication systems|vCongresses.|0http://id.loc.gov/
       authorities/subjects/sh2008112722 
650  0 Electronics|vCongresses.|0http://id.loc.gov/authorities/
       subjects/sh2008102883 
655  4 Electronic books. 
655  7 Conference papers and proceedings.|2fast|0http://
       id.worldcat.org/fast/1423772 
655  7 Conference papers and proceedings.|2lcgft|0http://
       id.loc.gov/authorities/genreForms/gf2014026068 
700 1  Charpin, P.|q(Pascale),|d1949-|0http://id.loc.gov/
       authorities/names/n91063189 
700 1  Pott, Alexander,|d1961-|0http://id.loc.gov/authorities/
       names/n95009046 
700 1  Winterhof, Arne.|0http://id.loc.gov/authorities/names/
       n2013014012 
776 08 |iPrint version:|tFinite fields and their applications.
       |dBerlin : De Gruyter, [2013]|z9783110282405|w(DLC)  
       2013007221|w(OCoLC)830646502 
830  0 Radon series on computational and applied mathematics.
       |0http://id.loc.gov/authorities/names/no2008036485 
956 40 |uhttp://proxy.opal-libraries.org/login?url=http://
       search.ebscohost.com/login.aspx?direct=true&scope=site&
       db=nlebk&AN=604234|zView online 
990    ProQuest Ebook Central|bEbook Central Academic Complete
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990    ProQuest Ebook Central|bEbook Central Academic Complete
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990    ProQuest Ebook Central|bEbook Central Academic Complete
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990    ProQuest ebrary|bebrary Academic Complete|c2017-08-11
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990    eBooks on EBSCOhost|bEBSCO eBook Subscription Academic 
       Collection - North America|c2016-11-25|yMaster record 040 
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990    eBooks on EBSCOhost|bEBSCO eBook Subscription Academic 
       Collection - North America|c2016-09-16|yMaster record 
       variable field(s) change: 245 

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