class: telecom and networks

A (7, 3) cyclic code, the g (x) = x^4 + x^2 + x +1. e) Please give the generator matrix, and the systematic form. f) Assume we have a message m = 110, please find the codeword after encoding. g) In the receiver side, the syndromes are also needed for decoding. Please list the syndromes in polynomial expression in the table. h) Suppose we have a codeword 1001100 at the receiver side. What is corrected codeword and the original message m