Algebraic Shift Register Sequences /
Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations.
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| Other Authors: | , |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2012.
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| Series: | Cambridge books online.
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| Subjects: | |
| Online Access: | CONNECT |
MARC
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| 245 | 0 | 0 | |a Algebraic Shift Register Sequences / |c Mark Goresky, Andrew Klapper. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2012. | ||
| 300 | |a 1 online resource (514 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 500 | |a Title from publishers bibliographic system (viewed 15 Feb 2012). | ||
| 500 | |a Available through Cambridge books online SHEDL trial from 9th January 2012 to 9th July 2012. | ||
| 505 | 0 | |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. | |
| 520 | |a Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 546 | |a English. | ||
| 500 | |a EBSCO eBook Academic Comprehensive Collection North America |5 TMurS | ||
| 650 | 0 | |a Sequences (Mathematics) | |
| 700 | 1 | |a Goresky, Mark. | |
| 700 | 1 | |a Klapper, Andrew. | |
| 730 | 0 | |a WORLDSHARE SUB RECORDS | |
| 776 | 0 | 8 | |i Print version: |z 9781107014992 |
| 830 | 0 | |a Cambridge books online. | |
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| 880 | 8 | |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. | |
| 880 | 8 | |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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