Structured Groebner basis search in a 40-dimensional self-equivalence subspace of functions over F_{2^8} yields 566 quadratic APN functions in six classes, four of which are absent from prior databases of millions of instances.
A new almost perfect nonlinear function which is not quadratic,
1 Pith paper cite this work, alongside 143 external citations. Polarity classification is still indexing.
1
Pith paper citing it
143
external citations · OpenAlex
fields
cs.CR 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Quadratic APN Functions in Dimension 8 via Gr\"obner Basis Search in a Self-Equivalence Subspace
Structured Groebner basis search in a 40-dimensional self-equivalence subspace of functions over F_{2^8} yields 566 quadratic APN functions in six classes, four of which are absent from prior databases of millions of instances.