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Grain型级联反馈移存器的非奇异性判定

王秋艳 金晨辉

计算机工程Issue(3):167-170,174,5.
计算机工程Issue(3):167-170,174,5.DOI:10.3969/j.issn.1000-3428.2014.03.034

Grain型级联反馈移存器的非奇异性判定

Criteria for Nonsingularity of Grain-like Cascade Feedback Shift Register

王秋艳 1金晨辉1

作者信息

  • 1. 解放军信息工程大学三院,郑州 450004
  • 折叠

摘要

Abstract

Grain cipher is one of the 3 final hardware-oriented stream ciphers of the eSTREAM project, it is based on two feedback shift registers and a filtering function, and it can effectively resist stream cipher attacks based on linear feedback shift register. In this paper, the nonsingularity of the Grain-like cascade feedback shift registers is investigated, the sufficient conditions of state refresh transformations in initialization phase and key stream generation phase being bijective is given. As a counterexample, for the word-oriented Grain-like cascade feedback shift registers, even if the two feedback shift registers are both nonsingular, and the filtering function satisfies proper conditions, the state update transformation can also be nonbijective. It proves the result of criteria for nonsingularity by using Grain v1 algorithm.

关键词

序列密码/Grain算法/非线性反馈移存器/非奇异性/状态刷新变换/双射性

Key words

stream cipher/Grain algorithm/nonlinear feedback shift register/nonsingularity/state refresh transformation/bijectivity

分类

信息技术与安全科学

引用本文复制引用

王秋艳,金晨辉..Grain型级联反馈移存器的非奇异性判定[J].计算机工程,2014,(3):167-170,174,5.

基金项目

国家自然科学基金资助项目(61272488,61272041)。 (61272488,61272041)

计算机工程

OA北大核心CSCDCSTPCD

1000-3428

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