Paper 2022/1579

New Properties of Double Boomerang Connectivity Table

Qianqian Yang, State Key Laboratory of Information Security Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China
Ling Song, College of Cyber Security, Jinan University, Guangzhou, China
Siwei Sun, School of Cryptology, University of Chinese Academy of Sciences, Beijing, China
Danping Shi, State Key Laboratory of Information Security Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China
Lei Hu, State Key Laboratory of Information Security Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China
Abstract

The double boomerang connectivity table (DBCT) is a new table proposed recently to capture the behavior of two consecutive S-boxes in boomerang attacks. In this paper, we observe an interesting property of DBCT of S-box that the ladder switch and the S-box switch happen in most cases for two continuous S-boxes, and for some S-boxes only S-box switch and ladder switch are possible. This property implies an additional criterion for S-boxes to resist the boomerang attacks and provides as well a new evaluation direction for an S-box. Using an extension of the DBCT, we verify that some boomerang distinguishers of TweAES and Deoxys are flawed. On the other hand, inspired by the property, we put forward a formula for estimating boomerang cluster probabilities. Furthermore, we introduce the first model to search for boomerang distinguishers with good cluster probabilities. Applying the model to CRAFT, we obtain 9-round and 10-round boomerang distinguishers with a higher probability than that of previous works.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
Keywords
boomerang attack DBCT cluster CRAFT TweAES Deoxys-BC
Contact author(s)
yangqianqian @ iie ac cn
songling qs @ gmail com
sunsiwei @ ucas ac cn
shidanping @ iie ac cn
hulei @ iie ac cn
History
2022-11-14: approved
2022-11-14: received
See all versions
Short URL
https://ia.cr/2022/1579
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2022/1579,
      author = {Qianqian Yang and Ling Song and Siwei Sun and Danping Shi and Lei Hu},
      title = {New Properties of Double Boomerang Connectivity Table},
      howpublished = {Cryptology ePrint Archive, Paper 2022/1579},
      year = {2022},
      note = {\url{https://eprint.iacr.org/2022/1579}},
      url = {https://eprint.iacr.org/2022/1579}
}
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