Algebraic Shift Register Sequences /:
Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations.
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2012.
|
| Schriftenreihe: | Cambridge books online.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations. |
| Beschreibung: | Title from publishers bibliographic system (viewed 15 Feb 2012). Available through Cambridge books online SHEDL trial from 9th January 2012 to 9th July 2012. |
| Beschreibung: | 1 online resource (514 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781139057448 1139057448 9781107014992 1107014999 1280877677 9781280877674 9781139221276 1139221272 9781139224703 1139224700 9781139218184 1139218182 |
Internformat
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| 245 | 0 | 0 | |a Algebraic Shift Register Sequences / |c Mark Goresky, Andrew Klapper. |
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| 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. | ||
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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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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn778920942 |
|---|---|
| _version_ | 1816881788189933568 |
| adam_text | |
| any_adam_object | |
| author2 | Goresky, Mark Klapper, Andrew |
| author2_role | |
| author2_variant | m g mg a k ak |
| author_GND | http://id.loc.gov/authorities/names/no2012099653 |
| author_facet | Goresky, Mark Klapper, Andrew |
| author_sort | Goresky, Mark |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA267 |
| callnumber-raw | QA267.5.S4 G64 2012 |
| callnumber-search | QA267.5.S4 G64 2012 |
| callnumber-sort | QA 3267.5 S4 G64 42012 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | 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. |
| ctrlnum | (OCoLC)778920942 |
| dewey-full | 621.397 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.397 |
| dewey-search | 621.397 |
| dewey-sort | 3621.397 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn778920942 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:18:17Z |
| institution | BVB |
| isbn | 9781139057448 1139057448 9781107014992 1107014999 1280877677 9781280877674 9781139221276 1139221272 9781139224703 1139224700 9781139218184 1139218182 |
| language | English |
| oclc_num | 778920942 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (514 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Cambridge books online. |
| spelling | Algebraic Shift Register Sequences / Mark Goresky, Andrew Klapper. Cambridge : Cambridge University Press, 2012. 1 online resource (514 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Title from publishers bibliographic system (viewed 15 Feb 2012). Available through Cambridge books online SHEDL trial from 9th January 2012 to 9th July 2012. 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. Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations. Includes bibliographical references and index. English. Sequences (Mathematics) http://id.loc.gov/authorities/subjects/sh85120145 Suites (Mathématiques) COMPUTERS Computer Engineering. bisacsh COMPUTERS Hardware General. bisacsh COMPUTERS Machine Theory. bisacsh Ordenadores embne Sequences (Mathematics) fast Schieberegister gnd http://d-nb.info/gnd/4124131-9 Zufällige Folge gnd http://d-nb.info/gnd/4191092-8 Pseudozufallszahlen gnd http://d-nb.info/gnd/4615255-6 Goresky, Mark. Klapper, Andrew. http://id.loc.gov/authorities/names/no2012099653 Print version: 9781107014992 Cambridge books online. FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=416709 Volltext 505-01/(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. 505-00/(S 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. |
| spellingShingle | Algebraic Shift Register Sequences / Cambridge books online. 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. Sequences (Mathematics) http://id.loc.gov/authorities/subjects/sh85120145 Suites (Mathématiques) COMPUTERS Computer Engineering. bisacsh COMPUTERS Hardware General. bisacsh COMPUTERS Machine Theory. bisacsh Ordenadores embne Sequences (Mathematics) fast Schieberegister gnd http://d-nb.info/gnd/4124131-9 Zufällige Folge gnd http://d-nb.info/gnd/4191092-8 Pseudozufallszahlen gnd http://d-nb.info/gnd/4615255-6 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85120145 http://d-nb.info/gnd/4124131-9 http://d-nb.info/gnd/4191092-8 http://d-nb.info/gnd/4615255-6 |
| title | Algebraic Shift Register Sequences / |
| title_auth | Algebraic Shift Register Sequences / |
| title_exact_search | Algebraic Shift Register Sequences / |
| title_full | Algebraic Shift Register Sequences / Mark Goresky, Andrew Klapper. |
| title_fullStr | Algebraic Shift Register Sequences / Mark Goresky, Andrew Klapper. |
| title_full_unstemmed | Algebraic Shift Register Sequences / Mark Goresky, Andrew Klapper. |
| title_short | Algebraic Shift Register Sequences / |
| title_sort | algebraic shift register sequences |
| topic | Sequences (Mathematics) http://id.loc.gov/authorities/subjects/sh85120145 Suites (Mathématiques) COMPUTERS Computer Engineering. bisacsh COMPUTERS Hardware General. bisacsh COMPUTERS Machine Theory. bisacsh Ordenadores embne Sequences (Mathematics) fast Schieberegister gnd http://d-nb.info/gnd/4124131-9 Zufällige Folge gnd http://d-nb.info/gnd/4191092-8 Pseudozufallszahlen gnd http://d-nb.info/gnd/4615255-6 |
| topic_facet | Sequences (Mathematics) Suites (Mathématiques) COMPUTERS Computer Engineering. COMPUTERS Hardware General. COMPUTERS Machine Theory. Ordenadores Schieberegister Zufällige Folge Pseudozufallszahlen |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=416709 |
| work_keys_str_mv | AT goreskymark algebraicshiftregistersequences AT klapperandrew algebraicshiftregistersequences |