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A Class of Quadrinomial Permutations With Boomerang Uniformity Four.
- Source :
-
IEEE Transactions on Information Theory . Jun2020, Vol. 66 Issue 6, p3753-3765. 13p. - Publication Year :
- 2020
-
Abstract
- In Eurocrypt’18, Cid et al. proposed a new cryptanalysis tool called Boomerang Connectivity Table (BCT), to evaluate S-boxes of block ciphers. Later, Boura and Canteaut further investigated the new parameter Boomerang uniformity for cryptographic S-boxes. It is of great interest to find new S-boxes with low Boomerang uniformity for even dimensions. In this paper, we prove that a class of permutation quadrinomials over $\mathbb {F}_{2^{2m}}$ with $m$ odd has Boomerang uniformity four, which gives the fifth class of such kind of permutation polynomials. Further, the occurrences of 0 and 4 in the BCTs of the investigated permutation polynomials are also completely determined. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BLOCK ciphers
*UNIFORMITY
*PERMUTATIONS
*CRYPTOGRAPHY
*FINITE fields
Subjects
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 66
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 143457088
- Full Text :
- https://doi.org/10.1109/TIT.2020.2969578