Examples

• The information bits 0 0 0 0 produce the code word 0 0 0 0 0 0 0
• The information bits 0 0 0 1 produce the code word 0 0 0 1 0 1 1
• The information bits 1 0 0 0 produce the code word 1 0 0 0 1 0 1
• The information bits 0 1 1 0 produce the code word 0 1 1 0 0 0 1
• This code has the property that any pair of code words differs in at least three positions.
• E.g., the first and second code word above differ in positions 4, 6, and 7.
• E.g., the second and third code word differ in 4 positions.
• The implication is, that a single bit error in a code word will be correctible.