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A Gray code is a cyclic ordering of binary strings so that two successive values differ in only one bit (a Hamming distance of 1).

1 vote

New Perfect 2-bit Error Correction Code - Are there any other?

This question was answered by @Noam D. Elkies in the above comments with an excellent link to an article describing the problem.
RobertB.'s user avatar
2 votes
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New Perfect 2-bit Error Correction Code - Are there any other?

I have recently looked through perfect error correcting codes and found the Hamming(7,3) and Golay(23,7). Using a computer program I have found a new 2 bit perfect error correcting code: Code(90, 2). …
RobertB.'s user avatar