Magma Code

This page contains a list of links to text files implementing various functions related to Boolean functions in the Magma programming language.

Useful code for vectorial Boolean functions

General codes:

• Algebraic Normal Form (ANF)
• APN property
• APN property for quadratic maps
• Walsh transform
• Differential Distribution Table (DDT)
• Orthoderivative

Equivalences and related invariants:

• CCZ-equivalence
• Gamma-rank (Γ-rank)
• Delta-rank (Δ-rank)
• Multiplier group (ℳ(𝐺_𝐹))

Useful code for functions over 𝔽_𝑝^𝑛

• PN property
• PN property for quadratic maps
• CCZ-equivalence

Source code that produces useful lists

• Generating representatives from the known infinite APN families
• CCZ-inequivalent representatives from the known infinite APN families
• Quadratic APN functions in dimension 7
• Quadratic APN functions in dimension 8
• Quadratic APN functions in dimension 8 with Gold-like Walsh spectrum
• Quadratic APN functions in dimension 8 with Walsh spectrum of type 1
• Quadratic APN functions in dimension 8 with Walsh spectrum of type 2