Golay Complementary Sequences and Reed-Muller Codes

Introduction to Problem
- Engineering Context
- Power problem
Golay sequences, main theorem
- Golay sequences
- Boolean functions
- Main Theorem, Proof
Reed-Muller codes
- Generalizations of Binary
- Bent Functions
  - Definition, Example
  - Golay sequences are bent
Encoding and Decoding Issues
- Encoding
  - Restrictions, counting
  - Octary length 16 example
- Decoding
Open questions Open questions 1,2, Open questions 3,4