
# 19.6: Summary


• Important Definitions:
• Binary String
• Code, Codeword
• Hamming Distance
• Minimum Distance of a Code
• Detect Errors, Correct Errors
• Encode, Decode
• Generator Matrix
• Parity-Check Matrix
• Binary Linear Code of type $$(n, k)$$
• Hamming Code
• Notation:
• $$d(x, y)$$
• $$d(C)$$
• $$G = \left[ \begin{array}{ll} I_k \\ A \end{array} \right]$$
• $$P = [A \;\; I_r]$$