chapter  6
27 Pages

The Hamming family and friends

ByJohn Baylis

This chapter, like the previous one, mainly explores further consequences of linearity. The Hamming codes we met in Chapter 2 are but two members of a family of codes, all with pleasant useful properties, and as we shall see, other important codes can be constructed from the Hamming family. These other codes also appear at the ends of totally different lines of argument, but that is one of the delights of coding theory – the variety of interesting routes from A to B.