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Autocorrelation and Linear Complexity of the New Generalized Cyclotomic Sequences Tongjiang YAN Rong SUN Guozhen XIAO Publication IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Vol.E90-A No.4 pp.857-864 Publication Date: 2007/04/01 Online ISSN: 1745-1337 DOI: 10.1093/ietfec/e90-a.4.857 Print ISSN: 0916-8508 Type of Manuscript: PAPER Category: Information Security Keyword: stream ciphers, sequences, cyclotomy, linear complexity, autocorrelation, Full Text: PDF(204KB)>>
Summary: This paper contributes to a new generalized cyclotomic sequences of order two with respect to p1e1p2e2… ptet. The emphasis is on the linear complexity and autocorrelation of new prime-square sequences and two-prime sequences, two special cases of these generalized cyclotomic sequences. Our method is based on their characteristic polynomials. Results show that these sequences possess good linear complexity. Under certain conditions, the autocorrelation functions of new prime-square sequences and two-prime sequences may be three-valued. | ||||||||||
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