(Answered) 1 let be the binary repetition code with parameter n k 12

Statistics

1. Let be the binary repetition code with parameter [n, k] = [12, 4].

a) Give a generator matrix for that is in standard form. What does standard form means?

b) Give a parity check matrix for that is in standard form.

c) What is the minimum distance of ?

d) What is the minimum distance of ?

e) What is the dimension of ?

f) What is the dimension of ?

g) How many codewords are in ? List them.

h) How many codewords are in ? List them

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