Survey on recent trends towards generalized differential and boomerang uniformities

S Mesnager, B Mandal, M Msahli - Cryptography and Communications, 2022 - Springer
Differential cryptanalysis is a general form of cryptanalysis applicable primarily to block and
stream ciphers and cryptographic hash functions. The discovery of differential cryptanalysis …

[HTML][HTML] Permutation polynomials over finite fields—a survey of recent advances

X Hou - Finite Fields and Their Applications, 2015 - Elsevier
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Cryptographic Schemes Based on the ASASA Structure: Black-Box, White-Box, and Public-Key

A Biryukov, C Bouillaguet, D Khovratovich - Advances in Cryptology …, 2014 - Springer
In this paper we pick up an old challenge to design public key or white-box constructions
from symmetric cipher components. We design several encryption schemes based on the …

[HTML][HTML] Some new classes of permutation trinomials over finite fields with even characteristic

R Gupta, RK Sharma - Finite Fields and Their Applications, 2016 - Elsevier
Some new classes of permutation trinomials over finite fields with even characteristic -
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[HTML][HTML] Several classes of complete permutation polynomials

Z Tu, X Zeng, L Hu - Finite Fields and Their Applications, 2014 - Elsevier
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Permutation trinomials over finite fields with even characteristic

C Ding, L Qu, Q Wang, J Yuan, P Yuan - SIAM Journal on Discrete …, 2015 - SIAM
Permutation polynomials have been a subject of study for a long time and have applications
in many areas of science and engineering. However, only a small number of specific classes …

New PcN and APcN functions over finite fields

Y Wu, N Li, X Zeng - Designs, Codes and Cryptography, 2021 - Springer
Functions with low c-differential uniformity were proposed in 2020 and attracted lots of
attention, especially the P c N and AP c N functions, due to their applications in …

The Legendre Symbol and the Modulo-2 Operator in Symmetric Schemes over (F_p)^ n

L Grassi, D Khovratovich, S Rønjom… - Cryptology ePrint …, 2021 - eprint.iacr.org
Motivated by modern cryptographic use cases such as multi-party computation (MPC),
homomorphic encryption (HE), and zero-knowledge (ZK) protocols, several symmetric …

[HTML][HTML] Further results on permutation polynomials over finite fields

P Yuan, C Ding - Finite Fields and Their Applications, 2014 - Elsevier
Permutation polynomials are an interesting subject of mathematics and have applications in
other areas of mathematics and engineering. In this paper, we develop general theorems on …

[HTML][HTML] Permutation trinomials over F2m

D Wu, P Yuan, C Ding, Y Ma - Finite Fields and Their Applications, 2017 - Elsevier
Permutation polynomials are an interesting subject of mathematics and have applications in
other areas of mathematics and engineering. In this paper, we determine all permutation …