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Section Results

This page contains theorems and propositions used throughout the course.

Subsection Results

Proposition 8 Relation Between Minimum Distance and Error-Correcting Capability
Claim 25 Closest Codeword in Standard Array
Claim 26 Standard Array Unique Decoding Condition
Theorem 30 Classification of Perfect Codes
Theorem 31 Singleton Bound
Theorem 35 Hamming or Sphere-Packing Bound
Theorem 36 Gilbert-Varshamov Bound for General Codes
Theorem 42 Gilbert-Varshamov Bound for Linear Codes
Theorem 43 Polynomial Division & Congruence
Theorem 46 Bezout’s Identity