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|a QA267.5.S4 G64 2012
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|a Algebraic Shift Register Sequences /
|c Mark Goresky, Andrew Klapper.
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|a Cambridge :
|b Cambridge University Press,
|c 2012.
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|a 1 online resource (514 pages)
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|a text
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|a computer
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|a data file
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|a Title from publishers bibliographic system (viewed 15 Feb 2012).
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|a Available through Cambridge books online SHEDL trial from 9th January 2012 to 9th July 2012.
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|6 880-01
|a Cover; ALGEBRAIC SHIFT REGISTER SEQUENCES; Title; Copyright; Dedication; Contents; Figures; Tables; Acknowledgements; 1: Introduction; 1.1 Pseudo-random sequences; 1.2 LFSR sequences; 1.3 FCSR sequences; 1.4 Register synthesis; 1.5 Applications of pseudo-random sequences; 1.5.1 Frequency hopping spread spectrum; 1.5.2 Code division multiple access; 1.5.3 Optical CDMA; 1.5.4 Synchronization and radar; 1.5.5 Stream ciphers; 1.5.6 Pseudo-random arrays; 1.5.7 Monte Carlo; 1.5.8 Built in self test; 1.5.9 Wear leveling; Part I: Algebraically defined sequences; 2: Sequences; 2.1 Sequences and period.
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|a Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations.
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|a Includes bibliographical references and index.
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546 |
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|a English.
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590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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|a Sequences (Mathematics)
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|a Goresky, Mark.
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|a Klapper, Andrew.
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|i Print version:
|z 9781107014992
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|a Cambridge books online.
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|z Texto completo
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880 |
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|6 505-01/(S
|a 5.4.3 AFSRs over global function fields5.5 Periodicity; 5.6 Exponential representation and period of AFSR sequences; 5.6.1 Function fields; 5.7 Examples; 5.7.1 R = Z, p = π = 2; 5.7.2 R = Z[π] with π = √2; 5.7.3 R = Z[π, γ] with π = √2 and γ 2 = γ + 1; 5.7.4 R = Z, π = 3; 5.7.5 R = Z, p = π = 2, revisited; 5.7.6 R = F2[x], π = x2 + x + 1; 5.7.7 R = F2[x, y]/(y2 + x3 + 1), π = x2 + y; 5.7.8 Dependence of the period on S; 5.8 Exercises; 6: d-FCSRs; 6.1 Binary d-FCSRs; 6.2 General d-FCSRs; 6.3 Relation between the norm and the period; 6.4 Periodicity.
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|6 505-00/(S
|a 4.3 Analysis of FCSRs4.4 Initial loading; 4.5 Representation of FCSR sequences; 4.6 Example: q=37; 4.7 Memory requirements; 4.8 Random number generation using MWC; 4.8.1 MWC generators; 4.8.2 Periodic states; 4.8.3 Memory requirements; 4.8.4 Finding good multipliers; 4.9 Exercises; 5: Algebraic feedback shift registers; 5.1 Definitions; 5.2 π-adic numbers; 5.2.1 Construction of Rπ; 5.2.2 Divisibility in Rπ; 5.2.3 The example of πd = N; 5.3 Properties of AFSRs; 5.4 Memory requirements; 5.4.1 AFSRs over number fields; 5.4.2 AFSRs over rational function fields.
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