How to decode an extended $[16,11]$Hamming code?
As you may know, by adding one parity-check bit to the end of codewords of $[15,11]$Hamming code (or equivalently by adding an all zero column and an all one row to its parity-check matrix). Decoding of Lexicographic $[15,11]$Hamming code is so easy, but how about $[16,11]$Hamming code?
I simulated
I compared bit error rate (with respect to $E_b/N_0$) for $[15,11]$Hamming code, $[16,11]$extended Hamming code , and $[14,10]$ shortened Hamming code using BPSK over AWGN channel. Does the below figure seem correct?
