No projective 16-divisible binary linear code of length 131 exists

Abstract

We show that no projective 16-divisible binary linear code of length 131 exists. This implies several improved upper bounds for constant-dimension codes, used in random linear network coding, and partial spreads.

4 pages

References in corpus (2)

• The lengths of projective triply-even binary codes
• The $[46,9,20{]}_2$ code is unique

Cited by in corpus (1)

• Lengths of divisible codes -- the missing cases