MARS-like Feistel 结构的量子攻击

本文首次给出了对 MARS-like 结构的量子算法攻击. 通过利用 Simon 算法, 借助周期函数 $f$构建量子区分器, 结合 Grover 搜索算法进行量子密钥恢复攻击. 在量子选择明文条件下,对四分支 MARS-like结构, 我们在 4 轮量子区分器附加 4 轮进行 8 轮量子密钥恢复攻击; 对 $d$分支 MARS-like 结构, 我们在 $ d $轮量子区分器附加 $ d $ 轮进行 $ 2d $轮量子密钥恢复攻击. 在量子选择密文条件下, 对四分支 MARS-like 结构,我们在 5 轮量子区分器附加 4 轮进行 9 轮量子密钥恢复攻击; 对 $ d $ 分支 MARS-...

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Published inJournal of Cryptologic Research Vol. 8; no. 3; p. 417
Main Authors 钱新, 尤启迪, 周旋, 张洋, 赵晓晶
Format Journal Article
LanguageChinese
Published Beijing Chinese Association for Cryptologic Research, Journal of Cryptologic Research 25.06.2021
Subjects
Online AccessGet full text
ISSN2097-4116
DOI10.13868/j.cnki.jcr.000448

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Abstract 本文首次给出了对 MARS-like 结构的量子算法攻击. 通过利用 Simon 算法, 借助周期函数 $f$构建量子区分器, 结合 Grover 搜索算法进行量子密钥恢复攻击. 在量子选择明文条件下,对四分支 MARS-like结构, 我们在 4 轮量子区分器附加 4 轮进行 8 轮量子密钥恢复攻击; 对 $d$分支 MARS-like 结构, 我们在 $ d $轮量子区分器附加 $ d $ 轮进行 $ 2d $轮量子密钥恢复攻击. 在量子选择密文条件下, 对四分支 MARS-like 结构,我们在 5 轮量子区分器附加 4 轮进行 9 轮量子密钥恢复攻击; 对 $ d $ 分支 MARS-like 结构, 我们在 $ d+1 $ 轮量子区分器附加 $ d $ 轮进行 $ 2d+1 $ 轮量子密钥恢复攻击.
AbstractList 本文首次给出了对 MARS-like 结构的量子算法攻击. 通过利用 Simon 算法, 借助周期函数 $f$构建量子区分器, 结合 Grover 搜索算法进行量子密钥恢复攻击. 在量子选择明文条件下,对四分支 MARS-like结构, 我们在 4 轮量子区分器附加 4 轮进行 8 轮量子密钥恢复攻击; 对 $d$分支 MARS-like 结构, 我们在 $ d $轮量子区分器附加 $ d $ 轮进行 $ 2d $轮量子密钥恢复攻击. 在量子选择密文条件下, 对四分支 MARS-like 结构,我们在 5 轮量子区分器附加 4 轮进行 9 轮量子密钥恢复攻击; 对 $ d $ 分支 MARS-like 结构, 我们在 $ d+1 $ 轮量子区分器附加 $ d $ 轮进行 $ 2d+1 $ 轮量子密钥恢复攻击.
Author 张洋
周旋
尤启迪
钱新
赵晓晶
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Snippet 本文首次给出了对 MARS-like 结构的量子算法攻击. 通过利用 Simon 算法, 借助周期函数 $f$构建量子区分器, 结合 Grover 搜索算法进行量子密钥恢复攻击. 在量子选择明文条...
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SubjectTerms Encryption
Periodic functions
Quantum cryptography
Recovery
Search algorithms
Title MARS-like Feistel 结构的量子攻击
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