Algebraic feedback shift registers
نویسندگان
چکیده
منابع مشابه
Algebraic Feedback Shift Registers
A general framework for the design of feedback registers based on algebra over complete rings is described. These registers generalize linear feedback shift registers and feedback with carry shift registers. Basic properties of the output sequences are studied: relations to the algebra of the underlying ring; synthesis of the register from the sequence (which has implications for cryptanalysis)...
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We study algebraic feedback shift registers (AFSRs) based on quotients of polynomial rings in several variables over a finite field. These registers are natural generalizations of linear feedback shift registers. We describe conditions under which such AFSRs produce sequences with various ideal randomness properties. We also show that there is an efficient algorithm which, given a prefix of a s...
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We apply the framework of algebraic feedback shift registers to polynomial rings over finite fields. This gives a construction of new pseudorandom sequences (over non-prime finite fields), which satisfy Golomb’s three randomness criteria.
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Stream ciphers that deploy linear feedback shift registers (LFSRs) have been shown to be vulnerable under fast correlation attacks [20], [21], [14], algebraic attacks [7], [28], fast algebraic attacks [6], [1], and fault attacks [13]. We discuss certain nonlinear feedback shift registers (NLFSRs) recommended as substitutes for LFSRs in stream cipher systems.
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Feedback shift registers with carry operation (FCSR's) are described, implemented, and analyzed with respect to memory requirements, initial loading, period, and distributional properties of their output sequences. Many parallels with the theory of linear feedback shift registers (LFSR's) are presented, including a synthesis algorithm (analogous to the Berlekamp-Massey algorithm for LFSR's) whi...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1999
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(99)00066-3