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Optimal additive quaternary codes of dimension 3.5

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00008210
URN to cite this document: urn:nbn:de:bvb:703-epub-8210-0

Title data

Kurz, Sascha:
Optimal additive quaternary codes of dimension 3.5.
Bayreuth , 2025 . - 14 S.

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Abstract

After the optimal parameters of additive quaternary codes of dimension at most 3 have been determined there is some recent activity to settle the next case of dimension 3.5. Here we complete dimension 3.5 and give partial results for dimension 4. We also solve the problem of the optimal parameters of additive quaternary codes of arbitrary dimension when assuming a sufficiently large minimum distance.

Further data

Item Type: Preprint, postprint
Keywords: additive codes; linear codes; quaternary codes; Galois geometry
Subject classification: Mathematics Subject Classification Code: 51E22 (94Bxx)
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 Mathematical Economics
Faculties
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-8210-0
Date Deposited: 18 Feb 2025 09:13
Last Modified: 18 Feb 2025 09:14
URI: https://epub.uni-bayreuth.de/id/eprint/8210

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