# Difference between revisions of "Magma Code"

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This page contains a list of links to text files implementing various functions related to Boolean functions in the [http://magma.maths.usyd.edu.au/magma/ Magma programming language]. | This page contains a list of links to text files implementing various functions related to Boolean functions in the [http://magma.maths.usyd.edu.au/magma/ Magma programming language]. | ||

− | Useful code for vectorial Boolean functions: | + | =Useful code for vectorial Boolean functions= |

+ | |||

+ | General codes: | ||

* [[:File:ANF.txt|Algebraic Normal Form (ANF)]] | * [[:File:ANF.txt|Algebraic Normal Form (ANF)]] | ||

+ | * [[:File:Is_APN.txt|APN property]] | ||

* [[:File:IsAPNdeg2.txt|APN property for quadratic maps]] | * [[:File:IsAPNdeg2.txt|APN property for quadratic maps]] | ||

+ | Equivalences and related invariants: | ||

+ | * [[:File:CCZeq2.txt|CCZ-equivalence]] | ||

+ | * [[:File:GammaRank.txt|Gamma-rank (Γ-rank)]] | ||

+ | * [[:File:DeltaRank.txt|Delta-rank (Δ-rank)]] | ||

+ | * [[:File:MGF.txt|Multiplier group (ℳ(𝐺<sub>𝐹</sub>))]] | ||

+ | |||

+ | =Useful code for Boolean functions= | ||

− | Useful code for | + | =Useful code for functions over 𝔽<sub>𝑝<sup>𝑛</sup></sub>= |

− | + | * [[:File:IsPN.txt|PN property]] | |

* [[:File:IsPNdeg2.txt|PN property for quadratic maps]] | * [[:File:IsPNdeg2.txt|PN property for quadratic maps]] | ||

+ | * [[:File:CCZeq.txt|CCZ-equivalence]] | ||

+ | |||

+ | =Source code that produces useful lists = | ||

+ | |||

+ | * [[:File:Ccz_inequivalent_representatives_from_the_known_families.txt|CCZ-inequivalent representatives from the known infinite APN families]] | ||

+ | * [[:File:Quadratic_apn_polynomials_7.txt|Quadratic APN functions in dimension 7]] | ||

+ | * [[:File:Quadratic_apn_polynomials_8.txt|Quadratic APN functions in dimension 8]] | ||

+ | * [[:File:Gold_spectra.txt|Quadratic APN functions in dimension 8 with Gold-like Walsh spectrum]] | ||

+ | * [[:File:T1_spectra.txt|Quadratic APN functions in dimension 8 with Walsh spectrum of type 1]] | ||

+ | * [[:File:T2_spectra.txt|Quadratic APN functions in dimension 8 with Walsh spectrum of type 2]] |

## Latest revision as of 12:56, 13 January 2020

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

## Contents

# Useful code for vectorial Boolean functions

General codes:

Equivalences and related invariants:

# Useful code for Boolean functions

# Useful code for functions over 𝔽_{𝑝𝑛}

# Source code that produces useful lists

- 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