More constructions of differentially 4-uniform permutations on

L Qu, Y Tan, C Li, G Gong - Designs, Codes and Cryptography, 2016 - Springer
Differentially 4 4-uniform permutations on F _ 2^ 2k F 2 2 k with high nonlinearity are chosen
as Substitution boxes in many block ciphers and some stream ciphers. Recently, Qu et …

Constructing Differentially 4-Uniform Permutations Over ${\BBF} _ {2^{2k}} $ via the Switching Method

L Qu, Y Tan, CH Tan, C Li - IEEE transactions on information …, 2013 - ieeexplore.ieee.org
Many block ciphers use permutations defined on F (2 2k) with low differential uniformity, high
nonlinearity, and high algebraic degree as their S-boxes to provide confusion. It is well …

New differentially 4-uniform permutations by modifying the inverse function on subfields

J Peng, CH Tan - Cryptography and Communications, 2017 - Springer
Permutations over 𝔽 2 2 k F_2^2k with low differential uniformity, high algebraic degree and
high nonlinearity are of great cryptographic importance since they can be chosen as the …

Constructing Differentially 4-uniform Permutations over GF (2^{2k}) from the Inverse Function Revisited

Y Li, M Wang, Y Yu - Cryptology ePrint Archive, 2013 - eprint.iacr.org
Constructing S-boxes with low differential uniformity and high nonlinearity is of cardinal
significance in cryptography. In the present paper, we show that numerous differentially 4 …

Involutory differentially 4-uniform permutations from known constructions

S Fu, X Feng - Designs, Codes and Cryptography, 2019 - Springer
Substitution boxes (S-boxes) are important components of block ciphers that can cause
confusion in cryptosystems. The functions used as S-boxes should have low differential …

New construction of differentially 4-uniform bijections

C Carlet, D Tang, X Tang, Q Liao - International Conference on …, 2013 - Springer
Block ciphers use Substitution boxes (S-boxes) to create confusion into the cryptosystems.
For resisting the known attacks on these cryptosystems, the following criteria for functions …

Differentially 4-uniform bijections by permuting the inverse function

D Tang, C Carlet, X Tang - Designs, Codes and Cryptography, 2015 - Springer
Block ciphers use substitution boxes (S-boxes) whose aim is to create confusion into the
cryptosystems. Functions used as S-boxes should have low differential uniformity, high …

Differentially 4-uniform permutations with the best known nonlinearity from butterflies

S Fu, X Feng, B Wu - Cryptology ePrint Archive, 2017 - eprint.iacr.org
Many block ciphers use permutations defined over the finite field $\mathbb {F} _ {2^{2k}} $
with low differential uniformity, high nonlinearity, and high algebraic degree to provide …

New families of differentially 4-uniform permutations over

Y Tan, L Qu, CH Tan, C Li - International Conference on Sequences and …, 2012 - Springer
Differentially 4-uniform permutations over \mathbbF_2^2k, especially those with high
nonlinearity and high algebraic degree, are cryptographically significant mappings as they …

[HTML][HTML] New explicit constructions of differentially 4-uniform permutations via special partitions of F22k

J Peng, CH Tan - Finite Fields and Their Applications, 2016 - Elsevier
In this paper, we further study the switching constructions of differentially 4-uniform
permutations over F 2 2 k from the inverse function and propose several new explicit …