Difference between revisions of "Notation"

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This page will contain some basic notation.
 
This page will contain some basic notation.
βˆ’
<math>\mathbb{F}_{2^n}</math>
+
* <math>\mathbb{F}_{2}</math> or 𝔽<sub>2</sub> is the binary space;
 +
* <math>\mathbb{F}_{2}^n</math> or 𝔽<sub>2</sub><sup>𝑛</sup> is the binary vector space of dimension 𝑛;
 +
* <math>\mathbb{F}_{2^n}</math> or 𝔽<sub>2<sup>𝑛</sup></sub> is the finite field with 2<sup>𝑛</sup> elements;
 +
* π‘Š<sub>𝐹</sub> is the Walsh transform of the function 𝐹;
 +
* 𝑛𝑙(βˆ™) or 𝒩ℒ(βˆ™) indicates the nonlinearity of a function;
 +
* π’Ÿ<sub>π‘Ž</sub>𝐹 is the derivative of the function 𝐹 in the direction of π‘Ž;
 +
* 𝐺<sub>𝐹</sub> is the graph of 𝐹;

Latest revision as of 10:55, 2 October 2019

This page will contain some basic notation.

  • or 𝔽2 is the binary space;
  • or 𝔽2𝑛 is the binary vector space of dimension 𝑛;
  • or 𝔽2𝑛 is the finite field with 2𝑛 elements;
  • π‘ŠπΉ is the Walsh transform of the function 𝐹;
  • 𝑛𝑙(βˆ™) or 𝒩ℒ(βˆ™) indicates the nonlinearity of a function;
  • π’Ÿπ‘ŽπΉ is the derivative of the function 𝐹 in the direction of π‘Ž;
  • 𝐺𝐹 is the graph of 𝐹;