Homework 8 - Advanced Digital Communications. Channel Coding. Linear Block Codes.

Appropriate report, code file and figure are added together into the archive.

Problem 6.8
Consider a (7,4) code whose generator matrix is ...
(a) Find all the codewords of the code
(b) Find H, the parity-check matrix of the code
(c) Compute the syndrome for the received vector [1 1 0 1 1 0 1]. Is this a valid code vector?
(d) What is the error-correcting capability of the code?
(e) What is the error-detecting capability of the code?
Problem 6.9
Consider a systematic block code whose parity-check equations are ... where