Another look at weak feedback polynomials in the nonlinear combiner
(2009) IEEE International Symposium on Information Theory (ISIT), 2009 p.1115-1119- Abstract
- Feedback polynomials with low degree multiples of low weight should be avoided in linear feedback shift registers when used in nonlinear combiners. We consider another class of weak feedback polynomials, namely the class when taps are located in small groups. This class was introduced in 2004 demonstrating that the resulting distinguishing attack can sometimes be better than the one using low weight multiples. In this paper we take another look at these polynomials and give further insight to the theory behind the attack complexity. Using the Walsh transform we show an easy way to determine the attack complexity given a polynomial. Further, we show that the size of the vectors should sometimes be larger than previously known. We also give... (More)
- Feedback polynomials with low degree multiples of low weight should be avoided in linear feedback shift registers when used in nonlinear combiners. We consider another class of weak feedback polynomials, namely the class when taps are located in small groups. This class was introduced in 2004 demonstrating that the resulting distinguishing attack can sometimes be better than the one using low weight multiples. In this paper we take another look at these polynomials and give further insight to the theory behind the attack complexity. Using the Walsh transform we show an easy way to determine the attack complexity given a polynomial. Further, we show that the size of the vectors should sometimes be larger than previously known. We also give a simple relation showing when the new attack will outperform the simple attack based on low weight multiples. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1471499
- author
- Hell, Martin LU and Brynielsson, Lennart
- organization
- publishing date
- 2009
- type
- Contribution to conference
- publication status
- published
- subject
- keywords
- weak feedback polynomials, stream ciphers, cryptography, LFSR
- pages
- 5 pages
- conference name
- IEEE International Symposium on Information Theory (ISIT), 2009
- conference location
- Seoul, Korea, Democratic People's Republic of
- conference dates
- 2009-06-28 - 2009-07-03
- external identifiers
-
- wos:000280141400227
- scopus:70449481609
- language
- English
- LU publication?
- yes
- id
- 8ae1f495-3157-457d-bb79-6dc4b46df54c (old id 1471499)
- date added to LUP
- 2016-04-04 14:15:57
- date last changed
- 2025-04-04 15:03:38
@misc{8ae1f495-3157-457d-bb79-6dc4b46df54c,
abstract = {{Feedback polynomials with low degree multiples of low weight should be avoided in linear feedback shift registers when used in nonlinear combiners. We consider another class of weak feedback polynomials, namely the class when taps are located in small groups. This class was introduced in 2004 demonstrating that the resulting distinguishing attack can sometimes be better than the one using low weight multiples. In this paper we take another look at these polynomials and give further insight to the theory behind the attack complexity. Using the Walsh transform we show an easy way to determine the attack complexity given a polynomial. Further, we show that the size of the vectors should sometimes be larger than previously known. We also give a simple relation showing when the new attack will outperform the simple attack based on low weight multiples.}},
author = {{Hell, Martin and Brynielsson, Lennart}},
keywords = {{weak feedback polynomials; stream ciphers; cryptography; LFSR}},
language = {{eng}},
pages = {{1115--1119}},
title = {{Another look at weak feedback polynomials in the nonlinear combiner}},
url = {{https://lup.lub.lu.se/search/files/6319844/1471504.pdf}},
year = {{2009}},
}