Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations.
Describes the design, mathematical analysis and implementation of pseudo-random sequences for applications in communications, cryptography and simulations.
Mark Goresky is a member of the School of Mathematics at the Institute for Advanced Study in Princeton, New Jersey.
Inhaltsangabe
1. Introduction Part I. Algebraically Defined Sequences: 2. Sequences 3. Linear feedback shift registers and linear recurrences 4. Feedback with carry shift registers and multiply with carry sequences 5. Algebraic feedback shift registers 6. d-FCSRs 7. Galois mode, linear registers, and related circuits Part II. Pseudo-Random and Pseudo-Noise Sequences: 8. Measures of pseudo-randomness 9. Shift and add sequences 10. M-sequences 11. Related sequences and their correlations 12. Maximal period function field sequences 13. Maximal period FCSR sequences 14. Maximal period d-FCSR sequences Part III. Register Synthesis and Security Measures: 15. Register synthesis and LFSR synthesis 16. FCSR synthesis 17. AFSR synthesis 18. Average and asymptotic behavior of security measures Part IV. Algebraic Background: A. Abstract algebra B. Fields C. Finite local rings and Galois rings D. Algebraic realizations of sequences Bibliography Index.
1. Introduction Part I. Algebraically Defined Sequences: 2. Sequences 3. Linear feedback shift registers and linear recurrences 4. Feedback with carry shift registers and multiply with carry sequences 5. Algebraic feedback shift registers 6. d-FCSRs 7. Galois mode, linear registers, and related circuits Part II. Pseudo-Random and Pseudo-Noise Sequences: 8. Measures of pseudo-randomness 9. Shift and add sequences 10. M-sequences 11. Related sequences and their correlations 12. Maximal period function field sequences 13. Maximal period FCSR sequences 14. Maximal period d-FCSR sequences Part III. Register Synthesis and Security Measures: 15. Register synthesis and LFSR synthesis 16. FCSR synthesis 17. AFSR synthesis 18. Average and asymptotic behavior of security measures Part IV. Algebraic Background: A. Abstract algebra B. Fields C. Finite local rings and Galois rings D. Algebraic realizations of sequences Bibliography Index.
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