Codes of split type

摘要

Generalizing a way to construct Golay codes, codes of split type are defined. A lot of interesting codes, for example, extremal codes of length n ≤ 40 such as Golay codes and binary doubly even self-dual codes [48, 24, 12], [72, 36, w] with w ≥ 12, are represented as codes of split type.