Title
Binary Threshold Sequences Derived From Carmichael Quotients With Even Numbers Modulus
Abstract
we define a family of 2(e+1)-periodic binary threshold sequences mid a family of p(2)-periodic binary threshold sequences by using Carmichael quotients modulo 2(e) (e > 2) and 2p (p is an odd prime), respectively. These are extensions of the construction derived from Fermat quotients modulo an odd prime in our earlier work. We determine exact values of the linear complexity, which are larger than half of the period. For cryptographic purpose, the linear complexities of the sequences in this letter are of desired values.
Year
DOI
Venue
2012
10.1587/transfun.E95.A.1197
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
Fermat quotients, Carmichael quotients, finite fields, binary threshold sequences, linear complexity
Discrete mathematics,China,Chinese academy of sciences,Linear complexity,Mathematics,Beijing,Binary number
Journal
Volume
Issue
ISSN
E95A
7
0916-8508
Citations 
PageRank 
References 
3
0.40
5
Authors
3
Name
Order
Citations
PageRank
Chenhuang Wu1184.81
Zhixiong Chen214828.47
Xiaoni Du318216.46