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The lengths of projective triply-even binary codes

Title data

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
The lengths of projective triply-even binary codes.
Bayreuth , 2018 . - 12 p.

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Official URL: Volltext

Abstract in another language

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 $\ge 60$.

Further data

Item Type: Preprint, postprint
Keywords: divisible codes; projective codes; partial spreads
Subject classification: Mathematics Subject Classification Code: 94B05 (51E23)
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics and Didactics
Faculties
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 19 Dec 2018 06:07
Last Modified: 14 Mar 2019 14:16
URI: https://eref.uni-bayreuth.de/id/eprint/46717

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