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IEICE TRANSACTIONS on Fundamentals

A Study on Higher Order Differential Attack of Camellia

Takeshi KAWABATA, Masaki TAKEDA, Toshinobu KANEKO

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Summary :

The encryption algorithm Camellia is a 128 bit block cipher proposed by NTT and Mitsubishi, Japan. Since the algebraic degree of the outputs after 3 rounds is greater than 128, designers estimate that it is impossible to attack Camellia by higher order differential. In this paper, we show a new higher order differential attack which controls the value of differential using proper fixed value of plaintext. As the result, we found that 6-round F-function can be attacked using 8th order differentials. The attack requires 217 chosen plaintexts and 222 F-function operations. Our computer simulation took about 2 seconds for the attack. If we take 2-R elimination algorithm, 7-round F-function will be attacked using 8th order differentials. This attack requires 219 chosen plaintexts and 264 F-function operations, which is less than exhaustive search for 128 bit key.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E86-A No.1 pp.31-36
Publication Date
2003/01/01
Publicized
Online ISSN
DOI
Type of Manuscript
Special Section PAPER (Special Section on Cryptography and Information Security)
Category
Symmetric Ciphers and Hash Functions

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