Cryptographic properties of some binary generalized cyclotomic sequences with the length p2

Authors:
Tongjiang Yan;Bingjia Huang;Guozhen Xiao
Affiliations:
College of Mathematics and Computer Science, China University of Petroleum, Dongying 257061, China and ISN National Key Laboratory, Xidian University, Xi'an 710071, China;College of Mathematics and Computer Science, China University of Petroleum, Dongying 257061, China;ISN National Key Laboratory, Xidian University, Xi'an 710071, China
Venue:
Information Sciences: an International Journal
Year:
2008

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Abstract

Herein, the cryptographic properties of some generalized cyclotomic sequences, with the period p^2, are investigated. Results show that these sequences always possess good balance and linear complexity (larger than half the period). Their autocorrelation functions are shown to be three-valued if p=3(mod4), and five-valued otherwise. Moreover, the distribution of patterns of length 2 are discussed.