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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= | |||
General codes: | |||
* [[:File:ANF.txt|Algebraic Normal Form (ANF)]] | |||
* [[:File:Is_APN.txt|APN property]] | |||
* [[:File:IsAPNdeg2.txt|APN property for quadratic maps]] | |||
* [[Walsh transform]] | |||
* [[Differential Distribution Table (DDT)]] | |||
* [[Orthoderivative]] | |||
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 functions over 𝔽<sub>𝑝<sup>𝑛</sup></sub>= | |||
* [[:File:IsPN.txt|PN property]] | |||
* [[:File:IsPNdeg2.txt|PN property for quadratic maps]] | |||
* [[:File:CCZeq.txt|CCZ-equivalence]] | |||
=Source code that produces useful lists = | |||
* [[Generating representatives from the known infinite APN families]] | |||
* [[: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 09:34, 16 October 2024
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:
Useful code for Boolean functions
Useful code for functions over 𝔽𝑝𝑛
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