Cryptology ePrint Archive: Report 2020/551

Higher Order Differential Attack against Full-Round BIG

Naoki Shibayama and Yasutaka Igarashi and Toshinobu Kaneko

Abstract: BIG is a 128-bit block cipher proposed by Demeri et al. in 2019. The number of rounds is 18 for high security. The designer evaluated its security against linear cryptanalysis. On the other hand, it has not been reported the security of BIG against higher order differential attack, which is one of the algebraic attacks. In this paper, we focused on a higher order differential of BIG. We found a new 15-round saturation characteristc of BIG using 1-st order differential by computer experiment. Exploiting this characteristic, we show that full-round BIG can be attacked with 6 chosen plaintexts and 2^(2.7) encryption operations.

Category / Keywords: secret-key cryptography / cryptanalysis, higher order differential attack, block cipher, BIG

Date: received 11 May 2020

Contact author: shiba at wit ocn ne jp

Available format(s): PDF | BibTeX Citation

Version: 20200515:095153 (All versions of this report)

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