Cryptology ePrint Archive: Report 2012/709

Further results on the distinctness of binary sequences derived from primitive sequences modulo square-free odd integers

Qun-Xiong Zheng and Wen-Feng Qi

Abstract: This paper studies the distinctness of primitive sequences over Z/(M) modulo 2, where M is an odd integer that is composite and square-free, and Z/(M) is the integer residue ring modulo M. A new sufficient condition is given for ensuring that primitive sequences generated by a primitive polynomial f(x) over Z/(M) are pairwise distinct modulo 2. Such result improves a recent result obtained in our previous paper [27] and consequently the set of primitive sequences over Z/(M) that can be proven to be distinct modulo 2 is greatly enlarged.

Category / Keywords: foundations /

Date: received 18 Dec 2012

Contact author: qunxiong_zheng at 163 com

Available format(s): PDF | BibTeX Citation

Note: The manuscript was submitted to the journal of IEEE Transactions on Information Theory

Version: 20121219:162812 (All versions of this report)

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