November Lectures

Week of November 5-9

Nov 6: Applications to cryptography. RSA.
Nov 8: RSA (cont). Normal subgroup.
Tutorial: Exercises of Lagrange theorem and RSA.

Week of November 12-16

Nov 13: Normal subgroup (cont). Quotient groups.
Nov 15: Quotient groups (cont). Homomorphism theorem.
Tutorial: Test #4.

Week of November 19-23

Nov 20: Examples of homomorphism theorem. Rings and subrings.
Nov 22: Fields. Examples of fields. Ideals. Quotient rings.
Tutorial: Solutions of Test #4. Homomorphic images of the octic group.

Week of November 26-30

Nov 27: Quotient rings (cont). Ring homomorphisms. Maximal ideals. Maximal ideals and fields.
Nov 29: Constructing a field of 4 elements and a field of 256 elements. Efficient multiplication and inversion. Advanced Encryption Standard (brief). Review of course.
Tutorial: Examples of rings, ideals and fields. Example of irreducible polynomial over a finite field.

To October lectures.