Let C be a code of the family Ham (3,2), and D = C * C. (a)
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Let C be a code of the family Ham (3,2), and D = C * C.
(a) Find the dimension and minimum distance of D.
(b) Is D a perfect code?
(c) Give two reasons why, whichever Slepian array is chosen for D, not all words of weight 2 can be coset leaders.
(d) Find a parity check matrix for D, and hence find two error patterns each of weight 2, only one of which can be correctly decoded.
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Related Book For 
Error Correcting Codes A Mathematical Introduction
ISBN: 978-0412786907
1st Edition
Authors: D J. Baylis
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