Cryptology ePrint Archive: Report 2018/1219

Cryptanalysis of the Full DES and the Full 3DES Using a New Linear Property

Tomer Ashur and Raluca Posteuca

Abstract: In this paper we extend the work presented by Ashur and Posteuca in BalkanCryptSec 2018, by designing 0-correlation key-dependent linear trails covering more than one round of DES. First, we design a 2-round 0-correlation key-dependent linear trail which we then connect to Matsui's original trail in order to obtain a linear approximation covering the full DES and 3DES. We show how this approximation can be used for a key recovery attack against both ciphers. To the best of our knowledge, this paper is the first to use this kind of property to attack a symmetric-key algorithm, and our linear attack against 3DES is the first statistical attack against this cipher.

Category / Keywords: secret-key cryptography / linear cryptanalysis, DES, 3DES, poisonous hull

Date: received 19 Dec 2018

Contact author: raluca posteuca at esat kuleuven be

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Version: 20181230:124822 (All versions of this report)

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