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The lengths of projective triply-even binary codes

URN to cite this document: urn:nbn:de:bvb:703-epub-4469-0

Title data

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
The lengths of projective triply-even binary codes.
Bayreuth , 2019 . - 6 S.

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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 $\ge 60$.

Further data

Item Type:	Preprint, postprint
Keywords:	divisible codes; projective codes; partial spreads
Subject classification:	Mathematics Subject Classification Code: 94B05 (51E23)
DDC Subjects:	000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics
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
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-4469-0
Date Deposited:	16 Sep 2019 06:45
Last Modified:	16 Sep 2019 06:47
URI:	https://epub.uni-bayreuth.de/id/eprint/4469

Available Versions of this Item

The lengths of projective triply-even binary codes. (deposited 17 Dec 2018 13:02)
- The lengths of projective triply-even binary codes. (deposited 16 Sep 2019 06:45) [Currently Displayed]