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Reed-Muller Codes from Cubic Curves
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Classroom Contents
Codes from Polynomials Over Finite Fields
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- 1 Intro
- 2 Communication over a Noisy Channel
- 3 Coding Theory Basics
- 4 Main Problem in Combinatorial Coding Theory
- 5 Tables for Linear Codes (codetables.de)
- 6 Reed-Solomon Codes are MDS
- 7 Doubly Extended (Projective) Reed-Solomon Codes
- 8 Reed-Solomon Code: Example 2
- 9 Main Conjecture for MDS Codes Ill
- 10 More Variables. Reed-Muller Codes
- 11 Reed-Muller Codes II
- 12 The Hamming Weight Enumerator of a Code Definition
- 13 Quadratic Polynomials in 2 Variables
- 14 Reed-Muller Codes from Cubic Curves
- 15 Reed-Muller Codes from Quartic Curves
- 16 Rational Point Counts for Quartic Curves: Asymmetry Definition
- 17 The Dual Code of a Linear Code
- 18 The MacWilliams Identity
- 19 Algebraic Geometry Codes
- 20 Codes to Communication
