TY - JOUR

T1 - Improving the upper bound on the maximum differential and the maximum linear hull probability for SPN structures and AES

AU - Park, Sangwoo

AU - Sung, Soo Hak

AU - Lee, Sangjin

AU - Lim, Jongin

N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2003

Y1 - 2003

N2 - 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.

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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U2 - 10.1007/978-3-540-39887-5_19

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

M3 - Article

AN - SCOPUS:0242487613

VL - 2887

SP - 247

EP - 260

JO - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

JF - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SN - 0302-9743

ER -