Paper 2022/1649
Robustness of Affine and Extended Affine Equivalent Surjective S-Box(es) against Differential Cryptanalysis
Abstract
A Feistel Network (FN) based block cipher relies on a Substitution Box (S-Box) for achieving the non-linearity. S-Box is carefully designed to achieve optimal cryptographic security bounds. The research of the last three decades shows that considerable efforts are being made on the mathematical design of an S-Box. To import the exact cryptographic profile of an S-Box, the designer focuses on the Affine Equivalent (AE) or Extended Affine (EA) equivalent S-Box. In this research, we argue that the Robustness of surjective mappings is invariant under AE and not invariant under EA transformation. It is proved that the EA equivalent of a surjective mapping does not necessarily contribute to the Robustness against the Differential Cryptanalysis (DC) in the light of Seberry's criteria. The generated EA equivalent S-Box(es) of DES and other $6 \times 4$ mappings do not show a good robustness profile compared to the original mappings. This article concludes that a careful selection of affine permutation parameters is significant during the design phase to achieve high Robustness against DC and Differential Power Analysis (DPA) attacks.
Metadata
- Available format(s)
-
PDF
- Category
- Foundations
- Publication info
- Preprint.
- Keywords
- S-Box Block Ciphers Differential Cryptanalysis Robustness Differential Uniformity Affine Equivalence
- Contact author(s)
-
sfahd phdismcs @ student nust edu pk
mehreenafzal @ mcs edu pk
dawoodshah254 @ gmail com
waseem iqbal @ mcs edu pk
atiyahai @ yahoo com - History
- 2022-11-29: last of 2 revisions
- 2022-11-28: received
- See all versions
- Short URL
- https://ia.cr/2022/1649
- License
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CC0
BibTeX
@misc{cryptoeprint:2022/1649,
author = {Shah Fahd and Mehreen Afzal and Dawood Shah and Waseem Iqbal and Atiya Hai},
title = {Robustness of Affine and Extended Affine Equivalent Surjective S-Box(es) against Differential Cryptanalysis},
howpublished = {Cryptology ePrint Archive, Paper 2022/1649},
year = {2022},
note = {\url{https://eprint.iacr.org/2022/1649}},
url = {https://eprint.iacr.org/2022/1649}
}
