ERef Bayreuth

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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.
In: IEEE Transactions on Information Theory. Vol. 66 (2020) Issue 5 . - pp. 2713-2716.
ISSN 0018-9448
DOI: https://doi.org/10.1109/TIT.2019.2940967

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 greater or equal to 60.

Further data

Item Type:	Article in a journal
Refereed:	Yes
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 > 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 Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT:	Yes
DDC Subjects:	000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics
Date Deposited:	24 Apr 2020 08:39
Last Modified:	02 Feb 2022 13:50
URI:	https://eref.uni-bayreuth.de/id/eprint/55018