m元格雷码

m-Ary Gray Codes

二元格雷（Ｇｒａｙ）码已被广泛研究，ｍ元Ｇｒａｙ码则只有少数几篇文章提及．本文给出一个递推构造将，ｎ＋１维ｍ元Ｇｒａｙ码从ｎ维ｍ元Ｇｒａｙ码中产生，并给出此法产生ｍ元Ｇｒａｙ码的一个计数．然后，将上述递推构造一般化．

Binary Gray code has been widely studied , but m-ary Gray code has only beenmentioned by few papers. In this paper, a recursive construction of generating n+1 dimen-sional mary Gray code from n dimensional m-ary Gray code is put forward,it is also giventhe number of m-ary Gray code generated by this method.Then, the recursive constructionis generalized.