A Deep Neural Differential Distinguisher for ARX based Block Cipher

Debranjan Pal; Upasana Mandal; Mainak Chaudhury; Abhijit Das; Dipanwita Roy Chowdhury

Paper 2022/1195

A Deep Neural Differential Distinguisher for ARX based Block Cipher

Debranjan Pal

, Indian Institute of Technology Kharagpur

Upasana Mandal, Indian Institute of Technology Kharagpur

Mainak Chaudhury, Indian Institute of Technology Kharagpur

Abhijit Das, Indian Institute of Technology Kharagpur

Dipanwita Roy Chowdhury, Indian Institute of Technology Kharagpur

Abstract

Over the last few years, deep learning is becoming the most trending topic for the classical cryptanalysis of block ciphers. Differential cryptanalysis is one of the primary and potent attacks on block ciphers. Here we apply deep learning techniques to model differential cryptanaly- sis more easily. In this paper, we report a generic tool called NDDT1, us- ing deep neural classifier that assists to find differential distinguishers for symmetric block ciphers with reduced round. We apply this approach for the differential cryptanalysis of ARX-based encryption schemes HIGHT, LEA, SPARX and SAND. To the best of our knowledge, this is the first deep learning-based distinguisher for the mentioned ciphers. The result shows that our deep learning based distinguishers work with high accuracy for 14-round HIGHT, 13-Round LEA, 11-round SPARX and 14-round SAND128. The relationship between the hamming weight of input difference of a neural distinguisher and the corresponding maxi- mum round number of the cipher has been justified through exhaustive experimentation. The lower bounds of data complexity for differential cryptanalysis have also been improved.

Metadata

Available format(s): PDF
Category: Attacks and cryptanalysis
Publication info: Preprint.
Keywords: HIGHT LEA SPARX SAND Neural Distinguisher Deep Learning Differential Cryptanalysis
Contact author(s): debranjan crl @ gmail com
mandal up98 @ gmail com
mainakcacsgu @ gmail com
abhij @ cse iitkgp ac in
drc @ cse iitkgp ac in
History: 2023-09-12: revised; 2022-09-10: received; See all versions
Short URL: https://ia.cr/2022/1195
License: CC BY-NC-SA

BibTeX

@misc{cryptoeprint:2022/1195,
      author = {Debranjan Pal and Upasana Mandal and Mainak Chaudhury and Abhijit Das and Dipanwita Roy Chowdhury},
      title = {A Deep Neural Differential Distinguisher for {ARX} based Block Cipher},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/1195},
      year = {2022},
      url = {https://eprint.iacr.org/2022/1195}
}