Cryptanalysis Based on 2-Adic Rational Approximation

Cryptanalysis Based on 2-Adic Rational Approximation
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DOI:
10.1007/3-540-44750-4_21
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发表时间:
1995-08
期刊:
Journal of Lviv Polytechnic National University. Series of Economics and Management Issues
影响因子:
--
通讯作者:
A. Klapper;M. Goresky
A. Klapper;M. Goresky
中科院分区:
其他
文献类型:
--
作者:
A. Klapper;M. Goresky

文献摘要

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本文提出了一种新的序列密码分析攻击算法。有一个相关的安全度量,2-adic跨度。为了使流密码安全,它的2-adic跨度必须很大。这种攻击暴露了Rueppel和Massey求和合并器的一个弱点。该算法基于De Weger和Mahler的2-adic数的有理逼近理论,利用进位移位寄存器合成一个最短的反馈,输出一个特定的密钥流,给定密钥流的少量比特。它是自适应的,因为它不需要事先知道可用比特的数量。
This paper presents a new algorithm for cryptanalytically attacking stream ciphers. There is an associated measure of security, the2-adic span. In order for a stream cipher to be secure, its 2-adic span must be large. This attack exposes a weakness of Rueppel and Massey’s summation combiner. The algorithm, based on De Weger and Mahler’s rational approximation theory for 2-adic numbers, synthesizes a shortestfeedback with carry shift registerthat outputs a particular key stream, given a small number of bits of the key stream. It is adaptive in that it does not need to know the number of available bits beforehand.