Title
Determining the k-error joint linear complexity spectrum for a binary multisequence with period p n
Abstract
Recent developments in word-based stream ciphers present the study on multi-sequences. The joint linear complexity and k-error joint linear complexity are fundamental concepts for the assessment of multisequences. The k-error joint linear complexity spectrum contains all the information about how the joint linear complexity of a multisequence decreases as the number k of allowed bit changes increases. In this paper, we present an efficient algorithm by which the k-error joint linear complexity spectrum for a t-fold p(n)-periodic binary multisequence can be entirely determined using O(tp(n) log p) bit operations, where p is an odd prime, 2 is a primitive root modulo p(2) and n is a positive integer.
Year
DOI
Venue
2016
10.1007/s12095-015-0157-2
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES
Keywords
Field
DocType
Stream ciphers,Multisequence,Algorithm,Error joint linear complexity spectrum
Integer,Prime (order theory),Discrete mathematics,Combinatorics,Modulo,Stream cipher,Linear complexity,Mathematics,Primitive root modulo n,Binary number
Journal
Volume
Issue
ISSN
8.0
4
1936-2447
Citations 
PageRank 
References 
0
0.34
11
Authors
4
Name
Order
Citations
PageRank
fulin li111.36
Shixin Zhu221637.61
honggang hu300.34
ting jiang400.34