Decoding binary R(2,5) by hand Original Research Article

The main purpose of this paper is to decode the binary Reed–Muller [32,16,8] code R(2,5) by hand by two methods. One, the representation decoding method, is the analogue of the method used to decode the Golay code [8]. The other is the syndrome decoding method. We also describe how to decode other doubly-even self-dual [32,16,8] codes C83 (or 2g16) and C84 (or 8f4).