Outline

1.

Coding Theory

(a)

Linear Codes

(b)

Nonlinear Codes

(c)

Cyclic Codes

i.

BCH codes

ii.

Quadratic residue codes

iii.

Reed-Muller codes

iv.

Vandermond Matrix

(d)

MacWilliams Theorem

(e)

Assmus-Matson Theorem

(f)

MDS Codes

2.

Cryptography

(a)

Classical cryptography

(b)

Public key cryptography

(c)

Authentication Schemes

(d)

Threshold Schemes