Consider a binary code with codewords of length n = 23 and dimension k = 12. This code can correct three errors or less. It is used with (noncoherent) BFSK modulation over an AWGN channel with SNR = 13 dB. (a) Calculate the probability of error p without coding. (b) Calculate the probability of decoding error P(E) and estimate the Bit Error Rate (BER).