Improved Distinguishers on Stream Ciphers with Certain Weak Feedback Polynomials
(2012) In IEEE Transactions on Information Theory 58(9). p.6183-6193- Abstract
- It is well known that fast correlation attacks can be very efficient if the feedback polynomial is of low weight. These feedback polynomials can be considered weak in the context of stream ciphers. This paper generalizes the class of weak feedback polynomials into polynomials were taps are located in several groups, possibly far apart. Low weight feedback polynomials are thus a special case of this class. For the general class it is shown that attacks can sometimes be very efficient even though the polynomials are of large weight. The main idea is to consider vectors of noise variables. It is shown how the complexity of a distinguishing attack can be efficiently computed and that the complexity is closely related to the minimum row... (More)
- It is well known that fast correlation attacks can be very efficient if the feedback polynomial is of low weight. These feedback polynomials can be considered weak in the context of stream ciphers. This paper generalizes the class of weak feedback polynomials into polynomials were taps are located in several groups, possibly far apart. Low weight feedback polynomials are thus a special case of this class. For the general class it is shown that attacks can sometimes be very efficient even though the polynomials are of large weight. The main idea is to consider vectors of noise variables. It is shown how the complexity of a distinguishing attack can be efficiently computed and that the complexity is closely related to the minimum row distance of a generator matrix for a convolutional code. Moreover, theoretical results on the size of the vectors are given. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2743568
- author
- Hell, Martin LU ; Johansson, Thomas LU ; Brynielsson, Lennart and Englund, Håkan
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- correlation attack, LFSR, stream cipher, weak feedback polynomial
- in
- IEEE Transactions on Information Theory
- volume
- 58
- issue
- 9
- pages
- 6183 - 6193
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- wos:000307892800039
- scopus:84865408281
- ISSN
- 0018-9448
- DOI
- 10.1109/TIT.2012.2202212
- language
- English
- LU publication?
- yes
- id
- 17b4de15-4b8d-496e-a4ac-9bf937a0c708 (old id 2743568)
- date added to LUP
- 2016-04-04 09:28:21
- date last changed
- 2023-09-05 23:57:38
@article{17b4de15-4b8d-496e-a4ac-9bf937a0c708, abstract = {{It is well known that fast correlation attacks can be very efficient if the feedback polynomial is of low weight. These feedback polynomials can be considered weak in the context of stream ciphers. This paper generalizes the class of weak feedback polynomials into polynomials were taps are located in several groups, possibly far apart. Low weight feedback polynomials are thus a special case of this class. For the general class it is shown that attacks can sometimes be very efficient even though the polynomials are of large weight. The main idea is to consider vectors of noise variables. It is shown how the complexity of a distinguishing attack can be efficiently computed and that the complexity is closely related to the minimum row distance of a generator matrix for a convolutional code. Moreover, theoretical results on the size of the vectors are given.}}, author = {{Hell, Martin and Johansson, Thomas and Brynielsson, Lennart and Englund, Håkan}}, issn = {{0018-9448}}, keywords = {{correlation attack; LFSR; stream cipher; weak feedback polynomial}}, language = {{eng}}, number = {{9}}, pages = {{6183--6193}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, series = {{IEEE Transactions on Information Theory}}, title = {{Improved Distinguishers on Stream Ciphers with Certain Weak Feedback Polynomials}}, url = {{http://dx.doi.org/10.1109/TIT.2012.2202212}}, doi = {{10.1109/TIT.2012.2202212}}, volume = {{58}}, year = {{2012}}, }