Permutation decoding of first order Reed-Muller code

Abstract

We study Reed-Muller code First we list some good prorerties of Reed-Muller code and show how to decode Reed-Muller code by majority logic Then we look at permutation decoding and record some results for decoding first order Reed-Muller code using permutation decoding method Finally we use GAP to perform the decoding and present some relation between the errors and the information words

Date of Award	2014 Jul 9
Original language	English
Supervisor	Wen-Fong Ke (Supervisor)