Paper 2020/645

Correlation distribution analysis of a two-round key-alternating block cipher

Liliya Kraleva, Nikolai L. Manev, and Vincent Rijmen

Abstract

In this paper we study two-round key-alternating block ciphers with round function $f(x)=x^{(2^t+1)2^s},$ where $t,s$ are positive integers. An algorithm to compute the distribution weight with respect to input and output masks is described. In the case $t=1$ the correlation distributions in dependence on input and output masks are completely determined for arbitrary pairs of masks. We investigate with more details the case $f(x)=x^3$ and fully derive and classify the distributions, proving that there are only 5 possible values for the correlation for any pair of masks.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Published elsewhere. Tatra Mountains Mathematical Publications 73(1), 2019
DOI
10.2478/tmmp-2019-0009
Keywords
correlation distributionlinear cryptanalysiskey-alternating cipherscube functions
Contact author(s)
liliya_kraleva @ abv bg
History
2020-06-03: received
Short URL
https://ia.cr/2020/645
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2020/645,
      author = {Liliya Kraleva and Nikolai L.  Manev and Vincent Rijmen},
      title = {Correlation distribution analysis of a two-round key-alternating block cipher},
      howpublished = {Cryptology ePrint Archive, Paper 2020/645},
      year = {2020},
      doi = {10.2478/tmmp-2019-0009},
      note = {\url{https://eprint.iacr.org/2020/645}},
      url = {https://eprint.iacr.org/2020/645}
}
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