Abstract Algebra
Explore groups and symmetry; rings and fields; extensions and actions. Concepts and connections are available independently of video coverage.
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Groups
A group has an associative operation, an identity and an inverse for every element.
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Binary operations
A binary operation combines two elements into one in a specified set.
Diffie–Hellman key agreement
Parties derive a shared secret through group exponentiation; authentication is needed against interception.
Elliptic curve cryptography
Finite-field elliptic curve groups support cryptography based on hard discrete logarithms.
Modular arithmetic
Congruence identifies integers with the same remainder modulo a positive integer.
Subgroups
A subgroup is a subset that forms a group under the inherited operation.
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- Binary operations · Related · Map context
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- Modular arithmetic · Related · Map context
- Elliptic curve cryptography · Related · Map context
- Diffie–Hellman key agreement · Next concept · Map context
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Cryptography
Explore arithmetic and security models; encryption and authentication; groups, signatures and hashes. Concepts and connections are available independently of video coverage.