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Fundamentals

Number Theory

Abstract algebra

Elliptic Curves

Lattices

Asymmetric Cryptography

Symmetric Cryptography

Isogeny Based Cryptography

Appendices

Fields

A set**field** if the following holds:

$F$

with two binary operations $+,\cdot:F\times F\to F$

is a - â€‹$R,+$is a commutative group with identity$0$â€‹
- â€‹$R-\{0\},\cdot$is a commutative group with identity$1$.
- Distributivity:$a(b+c)=ab+ac,(a+b)c=ac+bc$â€‹

// field extensions, algebraic elements

Last modified 1yr ago

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