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BINARY SEQUENCE WITH PERFECT SPREADING STAIRCASE PROFILE OF LINEAR COMPLEXITY
摘    要:1.IntroductionThelinearcomplexityofasequenceisdefinedasthelengthoftheshortestlinearfeedbackshiftregisterthatcangeneratethesequence.LetS=s182s3''beaninfinitebinarysequence.S(n)=slsZ''sathesubsequenceofSformedbythefirstnbits,L(S(n))=L.thelinearcomplexityo…


BINARY SEQUENCE WITH PERFECT SPREADING STAIRCASE PROFILE OF LINEAR COMPLEXITY
Abstract:This paper makes the following investigations.1. To solve the second open problem proposed by M.Morii and M.Kasahar[1];2. To prove the nonexistence of PSSP sequence with the smallest(or biggest) density;3. To find the PSSP sequence with (complementary) Hamming weight m for every positive integer m;4. To propose a generalization form of the known IYM sequence.
Keywords:Linear complexity   pseudo-random sequence   colltinued fraction   cryptography
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