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Basic Coding Topology for
Projective Geometry and Hamming Codes
Carey Jenkins
Date:
1 December 2001
Basic Coding Topology for GF(2)
Application
Proof
Proof
Proof
Proof
Proof
Demonstration of a Perfect Code from the Fano Plane
Proof
Case 1: Weight = 0
Case 2: Weight = 1
Case 3: Weight = 2
Case 4: Weight = 3
Case 5: Weight = 4
Case 6: Weight = 5
Case 7: Weight = 6
Case 8: Weight = 7
A Linear Algebra Point of View for GF(2)
Proof
Constructing G (and hence,
C
) for Generalize GF(
)
Proof
Proof
Proof
Corresponding Geometry
Proof
References
About this document ...
Bill Cherowitzo 2001-12-11
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