🔮
🔮
The Ethereal
The lengths of projective triply-even binary codes
December 14, 2018 · The Ethereal · 🏛 IEEE Transactions on Information Theory
"No code URL or promise found in abstract"
Evidence collected by the PWNC Scanner
Authors
Thomas Honold, Michael Kiermaier, Sascha Kurz, Alfred Wassermann
arXiv ID
1812.05957
Category
math.CO: Combinatorics
Cross-listed
cs.IT
Citations
12
Venue
IEEE Transactions on Information Theory
Last Checked
2 months ago
Abstract
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 $\ge 60$.
Community Contributions
Found the code? Know the venue? Think something is wrong? Let us know!
📜 Similar Papers
In the same crypt — Combinatorics
🔮
🔮
The Ethereal
On cap sets and the group-theoretic approach to matrix multiplication
🔮
🔮
The Ethereal
Generalized Twisted Gabidulin Codes
🔮
🔮
The Ethereal
Tables of subspace codes
🔮
🔮
The Ethereal
Classification of weighted networks through mesoscale homological features
🔮
🔮
The Ethereal