IEICE TRANSACTIONS on Fundamentals
The Properties of the FCSR-Based Self-Shrinking Sequence
Summary :
In the construction of a no-linear key-stream generator, self-shrinking is an established way of getting the binary pseudo-random periodic sequences in cryptography design. In this paper, using the theoretical analysis, we mainly study the self-shrinking sequence based on the l-sequence, and the theoretical results reflect its good cryptography properties accurately, such that it has the last period T = pe(p-1)/2 when T is an odd number, and the expected value of its autocorrelation belongs to {0,1/T and the variance is O(T/ln4T). Furthermore, we find that the 2-adic complexity of the self-shrinking sequence based on the l-sequence is large enough to resist the Rational Approximation attack.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E96-A No.2 pp.626-634
- Publication Date
- 2013/02/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E96.A.626
- Type of Manuscript
- PAPER
- Category
- Cryptography and Information Security
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Keyword
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Huijuan WANG, Qiaoyan WEN, Jie ZHANG, "The Properties of the FCSR-Based Self-Shrinking Sequence" in IEICE TRANSACTIONS on Fundamentals,
vol. E96-A, no. 2, pp. 626-634, February 2013, doi: 10.1587/transfun.E96.A.626.
Abstract: In the construction of a no-linear key-stream generator, self-shrinking is an established way of getting the binary pseudo-random periodic sequences in cryptography design. In this paper, using the theoretical analysis, we mainly study the self-shrinking sequence based on the l-sequence, and the theoretical results reflect its good cryptography properties accurately, such that it has the last period T = pe(p-1)/2 when T is an odd number, and the expected value of its autocorrelation belongs to {0,1/T and the variance is O(T/ln4T). Furthermore, we find that the 2-adic complexity of the self-shrinking sequence based on the l-sequence is large enough to resist the Rational Approximation attack.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E96.A.626/_p
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@ARTICLE{e96-a_2_626,
author={Huijuan WANG, Qiaoyan WEN, Jie ZHANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The Properties of the FCSR-Based Self-Shrinking Sequence},
year={2013},
volume={E96-A},
number={2},
pages={626-634},
abstract={In the construction of a no-linear key-stream generator, self-shrinking is an established way of getting the binary pseudo-random periodic sequences in cryptography design. In this paper, using the theoretical analysis, we mainly study the self-shrinking sequence based on the l-sequence, and the theoretical results reflect its good cryptography properties accurately, such that it has the last period T = pe(p-1)/2 when T is an odd number, and the expected value of its autocorrelation belongs to {0,1/T and the variance is O(T/ln4T). Furthermore, we find that the 2-adic complexity of the self-shrinking sequence based on the l-sequence is large enough to resist the Rational Approximation attack.},
keywords={},
doi={10.1587/transfun.E96.A.626},
ISSN={1745-1337},
month={February},}
Copy
TY - JOUR
TI - The Properties of the FCSR-Based Self-Shrinking Sequence
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 626
EP - 634
AU - Huijuan WANG
AU - Qiaoyan WEN
AU - Jie ZHANG
PY - 2013
DO - 10.1587/transfun.E96.A.626
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E96-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2013
AB - In the construction of a no-linear key-stream generator, self-shrinking is an established way of getting the binary pseudo-random periodic sequences in cryptography design. In this paper, using the theoretical analysis, we mainly study the self-shrinking sequence based on the l-sequence, and the theoretical results reflect its good cryptography properties accurately, such that it has the last period T = pe(p-1)/2 when T is an odd number, and the expected value of its autocorrelation belongs to {0,1/T and the variance is O(T/ln4T). Furthermore, we find that the 2-adic complexity of the self-shrinking sequence based on the l-sequence is large enough to resist the Rational Approximation attack.
ER -
English
