The Best Differential Characteristic Search of FEAL

Kazumaro AOKI  Kunio KOBAYASHI  Shiho MORIAI  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E81-A   No.1   pp.98-104
Publication Date: 1998/01/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security)
Category: 
Keyword: 
search algorithm,  differential cryptanalysis,  best differential characteristic,  FEAL,  

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Summary: 
This paper presents the results of the best differential characteristic search of FEAL. The search algorithm for the best differential characteristic (best linear expression) was already presented by Matsui, and improvements on this algorithm were presented by Moriai et al. We further improve the speed of the search algorithm. For example, the search time for the 7-round best differential characteristic of FEAL is reduced to about 10 minutes (Pentium/166 MHz), which is about 212. 6 times faster than Matsui's algorithm. Moreover, we determine all the best differential characteristics of FEAL for up to 32 rounds assuming all S-boxes are independent. As a result, we confirm that the N-round (7N32) best differential characteristic probability of FEAL is 2-2N, which was found by Biham. For N=6, we find 6-round differential characteristics with a greater probability, 2-11, than that previously discovered, 2-12.