On the Golay perfect binary code

AbstractSome combinatorial properties of the Golay binary code are emphasized and used for two main purposes. First, a new nonlinear code having 256 code words of length 16 at mutual distance 6 is exhibited. Second, a majority decoding method, quite similar to Massey's threshold decoding, is devised for the Golay code and various related codes

A Class of Optimum Nonlinear Double-Error-Correcting Codes

Coordinated Science Laboratory was formerly known as Control Systems LaboratoryJoint Services Electronics Program / DAAB-07-67-C-0199NSF / GK-233