Generalized Reed-Muller codes over the ring F_p+uF_p
Shixin Zhu · Journal of Hefei University of Technology · 2012
Reed-Muller codes form a very important family of algebraic codes that have very nice algebraic and combinatorial properties.In this paper,the concept of the Reed-Muller code is first introduced into the ring Fp+uFp,which is denoted by URM(p,r,m).Its trace representation is given,and its dual code and the relationship between them are studied.Especially,some better properties are obtained when p=2.