Notes

I came up with this algorithm for designing a linear block code for a given the minimum distance between the codes in December 2012. However later, I realized that Conway and Sloane had suggested this before in 1. J. H. Conway: Integral lexicographic codes. Discrete Mathematics 83(2-3): 219-235 (1990), and 2. J. H. Conway, N. J. A. Sloane: Lexicographic codes: Error-correcting codes from game theory. IEEE Trans. on Information Theory 32(3): 337-348 (1986).