The lengths of projective triply-even binary codes

12/14/2018

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by   Thomas Honold, et al.

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It is shown that there does not exist a binary projective triply-even code of length 59. This settles the last open length for projective triply-even binary codes. Therefore, projective triply-even binary codes exist precisely for lengths 15, 16, 30, 31, 32, 45--51, and > 60.