S-boxes and Round Functions with Controllable Linearity and Differential Uniformity

  title={S-boxes and Round Functions with Controllable Linearity and Differential Uniformity},
  author={Kaisa Nyberg},
A b s t r a c t . In this contribution we consider the stability of linearity and differential uniformity of vector Boolean functions under certain constructions and modifications. These include compositions with affine surjections onto the input space and with aitlne surjections from the output space, inversions, adding coordinate functions, forming direct sums and restrictions to affine subspaces. As examples we consider some true round function and S-box constructions. More theoretical… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 12 references

Nonlinearity characteristics of quadratic substitution boxes

J. Seberry, X.-M. Zhang, Y. Zheng
Proceedings of the Workshop on Selected Areas in Cryptography (SAC • 1994
View 4 Excerpts
Highly Influenced

Block ciphers - analysis, design and applications

L. Ramkilde Knudsen
Ph.D. thesis, DAIMI PB - • 1994
View 1 Excerpt

Partially-Bent Functions

Des. Codes Cryptography • 1993
View 2 Excerpts

Perfect Nonlinear S-Boxes

View 2 Excerpts

Nonlinearity criteria for cryptographicfunetions, Advances in Cryptology - EUROCRYPT'89

W. Meier, O. Staffelbach
Lecture Notes in Computer Science, • 1990
View 1 Excerpt

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