Wesselkamper, Thomas C.2013-06-192013-06-191975http://hdl.handle.net/10919/20278The Reed-Muller Decomposition Theorem is shown to be a special case of a theorem of Newton. Divided difference methods are developed for the general case of any finite field. The Newton Interpolation Theorem is proved for functions of one variable and stated for functions of two variables. Empirical results are given for some two place functions over GF(9) and GF(16).application/pdfenIn CopyrightTechnical reportCS75018-Rhttp://eprints.cs.vt.edu/archive/00000798/01/CS75018-R.pdf