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Basic Algebra provides foundational knowledge essential for understanding cryptographic systems. It covers key algebraic concepts such as groups, fields, and rings, which are important to understand cryptographic algorithms.
- Binary Operation
- Monoid
- Group
- Subgroup
- Cyclic Subgroup
- Ring
- Binary Relation
- Equivalence Relation
- Quotient Ring
- Ring Homomorphism
- Field
- Finite Field
- Cyclotomic polynomial
- Discrete Fourier Transform
- Fast Fourier Transform
- Number Theoretic Transform
- Residue Number System
- Chinese Remainder Theorem
- Automorphism
- Elliptic Curves
- Discrete logarithm
- ECDLP
- Ideal
- Abelian Group