Improving the upper bound on the maximum differential and the maximum linear hull probability for SPN structures and AES

Sangwoo Park; Soo Hak Sung; Sangjin Lee; Jongin Lim

doi:10.1007/978-3-540-39887-5_19

Improving the upper bound on the maximum differential and the maximum linear hull probability for SPN structures and AES

Sangwoo Park, Soo Hak Sung, Sangjin Lee, Jongin Lim

Graduate School of Information Study

Research output: Contribution to journal › Article › peer-review

50 Citations (Scopus)

Abstract

We present a new method for upper bounding the maximum differential probability and the maximum linear hull probability for 2 rounds of SPN structures. Our upper bound can be computed for any value of the branch number of the linear transformation and by incorporating the distribution of differential probability values and linear probability values for S-box. On application to AES, we obtain that the maximum differential probability and the maximum linear hull probability for 4 rounds of AES are bounded by 1.144×2^-111 and 1.075×2^-106, respectively.

Original language	English
Pages (from-to)	247-260
Number of pages	14
Journal	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	2887
DOIs	https://doi.org/10.1007/978-3-540-39887-5_19
Publication status	Published - 2003

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

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10.1007/978-3-540-39887-5_19

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Improving the upper bound on the maximum differential and the maximum linear hull probability for SPN structures and AES. / Park, Sangwoo; Sung, Soo Hak; Lee, Sangjin ; Lim, Jongin.

In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Vol. 2887, 2003, p. 247-260.

Research output: Contribution to journal › Article › peer-review

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AB - We present a new method for upper bounding the maximum differential probability and the maximum linear hull probability for 2 rounds of SPN structures. Our upper bound can be computed for any value of the branch number of the linear transformation and by incorporating the distribution of differential probability values and linear probability values for S-box. On application to AES, we obtain that the maximum differential probability and the maximum linear hull probability for 4 rounds of AES are bounded by 1.144×2-111 and 1.075×2-106, respectively.

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Improving the upper bound on the maximum differential and the maximum linear hull probability for SPN structures and AES

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