%0 Journal Article
%T <i>q</i>进制反射Gray码的几个注记<br>Notes on the Q-ary Reflected Gray Codes
%A 张帅
%A 瞿云云
%A 包小敏
%A 黄华伟&lt
%A br&gt
%A ZHANG Shuai
%A QU Yun-yun
%A BAO Xiao-min
%A HUANG Hua-wei
%J 西南大学学报(自然科学版)
%D 2017
%R 10.13718/j.cnki.xdzk.2017.07.017
%X 对整数q≥ 2给出一个计算<i>q</i>进制反射<i>Gray</i>码中码字位置的计算公式，二进制反射<i>Gray</i>码中码字的位置的计算公式是此公式的一个特例.另外介绍了两种各具优势的生成<i>q</i>进制反射<i>Gray</i>码的算法：其中一个算法可生成<i>q</i>进制反射<i>Gray</i>码中任意位置上的码字；另一个算法可逐个生成<i>q</i>进制反射<i>Gray</i>码中的码字.<br>The formula for calculating the position of a code in the binary reflected Gray codes is already known. This paper presents a formula for calculating the position of a codeword in the <i>q</i>-ary reflected Gray codes for any integer <i>q</i>≥2, and this formula takes the binary case as a special case. This paper also introduces two algorithms for generating the <i>q</i>-ary reflected Gray codes: the first one can generate a codeword at any position in the <i>q</i>-ary reflected Gray; the other one can generate a codeword that comes after any given codeword in the <i>q</i>-ary reflected Gray
%K 反射Gray码
%K 位置
%K &lt
%K i&gt
%K q&lt
%K /i&gt
%K -进制
%K 自然码&lt
%K br&gt
%K reflected Gray code
%K position
%K &lt
%K i&gt
%K q&lt
%K /i&gt
%K -ary
%K natural code
%U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2017/7/201707017.htm