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Title Algebraic Shift Register Sequences / Mark Goresky, Andrew Klapper
Published Cambridge : Cambridge University Press, 2012
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Description 1 online resource (514 pages)
Series Cambridge books online
Contents 880-01 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
880-01/(S 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
Summary Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations
Notes Title from publishers bibliographic system (viewed 15 Feb 2012)
Available through Cambridge books online SHEDL trial from 9th January 2012 to 9th July 2012
Bibliography Includes bibliographical references and index
Notes English
Subject Sequences (Mathematics)
COMPUTERS -- Computer Engineering.
COMPUTERS -- Hardware -- General.
COMPUTERS -- Machine Theory.
Ordenadores
Sequences (Mathematics)
Schieberegister
Zufällige Folge
Pseudozufallszahlen
Form Electronic book
Author Goresky, Mark
Klapper, Andrew.
ISBN 9781139057448
1139057448
9781107014992
1107014999
1280877677
9781280877674
9781139221276
1139221272
9781139224703
1139224700
9781139218184
1139218182