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

Research output: Contribution to journalArticle

44 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 languageEnglish
Pages (from-to)247-260
Number of pages14
JournalLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2887
DOIs
Publication statusPublished - 2003

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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