Title of the course: Black box fields
Instructor: Prof. Alexandre Borovik
Institution: University of Manchester
Dates: 29 July – 4 August 2019
Prerequisites: Linear algebra, basic abstract algebra
Level: Graduate and advanced undergraduate
* Algebraic cryptography: finite fields, the Diffie-Hellman key exchange, some other basic protocols.
* One-way functions, the Discrete Logarithm Problem.
* Homomorphic encryption.
* Basic concepts of black box algebra. Black box groups, rings, fields.
* Structural analysis of black box fields of characteristic 2.