
arXiv: cs/0304010
We introduce and analyze an efficient family of linear feedback shift registers (LFSR's) with maximal period. This family is word-oriented and is suitable for implementation in software, thus provides a solution to a recent challenge posed in FSE '94. The classical theory of LFSR's is extended to provide efficient algorithms for generation of irreducible and primitive LFSR's of this new type.
fast software encryption, FOS: Computer and information sciences, linear transformation shift registers, Algebra and Number Theory, Computer Science - Cryptography and Security, Data encryption (aspects in computer science), Mathematics - Number Theory, fast software encryption., Applied Mathematics, Shift register sequences and sequences over finite alphabets in information and communication theory, Theoretical Computer Science, Cryptography, FOS: Mathematics, 11T06, 11T71, linear feedback shift registers, Number Theory (math.NT), Cryptography and Security (cs.CR), Engineering(all)
fast software encryption, FOS: Computer and information sciences, linear transformation shift registers, Algebra and Number Theory, Computer Science - Cryptography and Security, Data encryption (aspects in computer science), Mathematics - Number Theory, fast software encryption., Applied Mathematics, Shift register sequences and sequences over finite alphabets in information and communication theory, Theoretical Computer Science, Cryptography, FOS: Mathematics, 11T06, 11T71, linear feedback shift registers, Number Theory (math.NT), Cryptography and Security (cs.CR), Engineering(all)
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