Assignment:
Consider a block binary code with encoding map
μc(00) = 0000, μc(01) = 0111, μc(10) = 1011, μc(11) = 1110
a) Find the maximum number of errors that can be detected in any received word.
b) Find the information efficiency of the code, assuming the information symbols are the output of a memoryless source with PMD
pb(0) = 1/4, pb(1) = 3/4
c) Calculate the word decoding error probability, conditioned on the transmitted word b = [00], for a memoryless BSC channel with Pbit = 0.1 and minimum distance decoding.