40 citations · 78 across the 9 of their papers we have counts for
9 papers
Millions of inequivalent quadratic APN functions in eight variables
Christof Beierle, Philippe Langevin, Gregor Leander +2
The only known example of an almost perfect nonlinear (APN) permutation in even dimension was obtained by applying CCZ-equivalence to a specific quadratic APN function in dimension…
Trims and Extensions of Quadratic APN Functions
Christof Beierle, Gregor Leander, Léo Perrin
In this work, we study functions that can be obtained by restricting a vectorial Boolean function to an affine hyperplane of di…
ClepsydraCache -- Preventing Cache Attacks with Time-Based Evictions
Jan Philipp Thoma, Christian Niesler, Dominic Funke +5
In the recent past, we have witnessed the shift towards attacks on the microarchitectural CPU level. In particular, cache side-channels play a predominant role as they allow an att…
A Further Study of Quadratic APN Permutations in Dimension Nine
Christof Beierle, Claude Carlet, Gregor Leander +1
Recently, Beierle and Leander found two new sporadic quadratic APN permutations in dimension 9. Up to EA-equivalence, we present a single trivariate representation of those two per…
New Instances of Quadratic APN Functions
Christof Beierle, Gregor Leander
In a recent work, Beierle, Brinkmann and Leander presented a recursive tree search for finding APN permutations with linear self-equivalences in small dimensions. In this paper, we…
Linearly Self-Equivalent APN Permutations in Small Dimension
Christof Beierle, Marcus Brinkmann, Gregor Leander
All almost perfect nonlinear (APN) permutations that we know to date admit a special kind of linear self-equivalence, i.e., there exists a permutation in their CCZ-equivalence…