On the n-th Order Shift Register Based Discrete Logarithm

Chik-How TAN  Xun YI  Chee-Kheong SIEW  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E86-A   No.5   pp.1213-1216
Publication Date: 2003/05/01
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
cryptography,  shift registers,  discrete logarithm,  

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Summary: 
In this paper, we examine the basic properties of n-th order linear feedback shift registers and show that n-th order shift registers based discrete logarithm problem is equivalent to discrete logarithm problem. This shows that the algebraic structure of n-th order linear feedback shift registers is useful in constructing cryptographic primitives.