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Paper 2003/041

A new statistical distinguisher for the shrinking generator

Jovan Dj. Golic and Renato Menicocci

Abstract

The shrinking generator is a well-known keystream generator composed of two linear feedback shift registers, LFSR$_1$ and LFSR$_2$, where LFSR$_1$ is clock-controlled according to regularly clocked LFSR$_2$. The keystream sequence is thus a decimated LFSR$_1$ sequence. Statistical distinguishers for keystream generators are algorithms whose objective is to distinguish the keystream sequence from a purely random sequence. Previously proposed statistical distinguishers for the shrinking generator are based on detecting binary linear relations in the keystream sequence that hold with a probability sufficiently different from one half. In this paper a novel approach which significantly reduces the required computation time is introduced. It is based on a probabilistic reconstruction of the bits in the regularly clocked LFSR$_1$ sequence that satisfy the LFSR$_1$ recurrence or any linear recurrence derived from low-weight multiples of the LFSR$_1$ characteristic polynomial. The keystream sequence length and the computation time required for a reliable statistical distinction are analyzed both theoretically and experimentally.

Metadata
Available format(s)
PS
Category
Secret-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Keywords
cryptanalysisstream ciphers
Contact author(s)
golic @ inwind it
History
2003-03-03: received
Short URL
https://ia.cr/2003/041
License
Creative Commons Attribution
CC BY
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