Consider a binary code with encoding matrix a) Find a parity-check matrix. b) Construct a standard array. c) List all codewords. d) Determine from the standard array how many errors it can correct. e)...

Consider a binary code with encoding matrix

a) Find a parity-check matrix.

b) Construct a standard array.

c) List all codewords.

d) Determine from the standard array how many errors it can correct.

e) Determine dmin.

f) For each coset give its syndrome.

g) Suppose that r = 110000 is received over a BSC with 0 <>