An Approach for Generating Different Types of Gray Codes

Given a certain Gray code consisting of 2 n codewords, it is possible to generate from it n ! 2 n codes by permuting and/or complementing the bits in all the codewords in the same manner. The codes obtained this way are all defined to be of the same type . An approach for converting the standard Gray code (known as the reflected code) into other Gray codes of different types is presented in this paper. A systematic way of generating, for example, all types of Gray codes consisting of 16 codewords is given.