What error detection and correction properties does the code defined in Problem have? Deve...

What error detection and correction properties does the code defined in Problem have? Develop a syndrome table for the code. Describe any interesting characteristics of the syndromes.

Problem:

Encode all the information words for a code defined by the following parity-check matrix. Note that codes with a parity-check matrix in the form of Eq. l.28 are called separable codes since the information bits may be separated in a block from the check bits. The code resulting from the following matrix will be nonseparable since information bits and the check bits are interspersed.