### A new result on the distinctness of primitive sequences over Z(pq) modulo 2

Qunxiong Zheng and Wenfeng Qi

##### Abstract

Let Z/(pq) be the integer residue ring modulo pq with odd prime numbers p and q. This paper studies the distinctness problem of modulo 2 reductions of two primitive sequences over Z/(pq), which has been studied by H.J. Chen and W.F. Qi in 2009. First, it is shown that almost every element in Z/(pq) occurs in a primitive sequence of order n > 2 over Z/(pq). Then based on this element distribution property of primitive sequences over Z/(pq), previous results are greatly improved and the set of primitive sequences over Z/(pq) that are known to be distinct modulo 2 is further enlarged.

Available format(s)
Category
Foundations
Publication info
Published elsewhere. Unknown where it was published
Keywords
integer residue ringslinear recurring sequencesprimitive polynomialsprimitive sequencesmodular reduction
Contact author(s)
qunxiong_zheng @ 163 com
History
Short URL
https://ia.cr/2010/622

CC BY

BibTeX

@misc{cryptoeprint:2010/622,
author = {Qunxiong Zheng and Wenfeng Qi},
title = {A new result on the distinctness of primitive sequences over Z(pq) modulo 2},
howpublished = {Cryptology ePrint Archive, Paper 2010/622},
year = {2010},
note = {\url{https://eprint.iacr.org/2010/622}},
url = {https://eprint.iacr.org/2010/622}
}

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