Chapter 7 Cyclic Codes
Cyclic codes are relevant to this book in two ways: they correspond to ideals in a quotient ring, and also have an alphabet which can be a ring. Cyclic codes over chain rings have been explored extensively [13] [16] and there is no point in reproducing this material here. We shall mostly consider these generalizations and variations: polycyclic codes [1] and multivariable codes [9] We include a short section on splitting codes [6] because of the generality and elegance of the results, which contrasts with other studies in that area.