Mathematical basics and advanced staff for Cryptography. Closely related with (cryptography research)
Main topics listed below.
- Cubic curves
- Integration
- Derivatives
- Series
- Interpolation
- Fourier transforms
- Convolution theories
- Matrices
- Linear basis
- Eigenvalues
- Vector space
- Operators theory
- Group theory
- Field theory
- Galois theory
- Ring theory
- Lattice
- Category
- Number sequences
- Number representations
- Numeric methods optimisation
- Numeric algorithms
- Prime numbers (search, factorization, testing)
- Descrete logarithm
- Multiplicative functions
- Large arithmetics
- Elliptical curves
- Set theory
- Graph theory
- Boolean algebra