CryptoBook

Search…

Fundamentals

Number Theory

Abstract algebra

Elliptic Curves

Lattices

Asymmetric Cryptography

Symmetric Cryptography

Isogeny Based Cryptography

Appendices

Powered By GitBook

Fields

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

$F$

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

is a

$R,+$

is a commutative group with identity $0$

$R-\{0\},\cdot$

is a commutative group with identity$1$

.Distributivity:

$a(b+c)=ab+ac,(a+b)c=ac+bc$

// field extensions, algebraic elements

Last modified 5mo ago

Export as PDF

Copy link