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

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Kurz, Sascha:
No projective $16$-divisible binary linear code of length $131$ exists.
Bayreuth , 2020 . - 4 S.

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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.