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Optimal additive quaternary codes of dimension 3.5 and 4

Title data

Kurz, Sascha:
Optimal additive quaternary codes of dimension 3.5 and 4.
In: Serdica Journal of Computing. Vol. 19 (2025) Issue 1 . - pp. 37-71.
ISSN 1312-6555
DOI: https://doi.org/10.55630/sjc.2025.19.37-71

Official URL: Volltext

Abstract in another language

After the optimal parameters of additive quaternary codes of dimension k<=3 have been determined, there was some activity to settle the next case of dimension k=3.5. Here we complete dimensions k=3.5 and k=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: Article in a journal
Refereed: Yes
Keywords: additive codes; linear codes; quaternary codes; Galois geometry
Subject classification: Mathematics Subject Classification Code: 51E22 (94Bxx)
Institutions of the University: 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
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 26 Jun 2026 05:07
Last Modified: 26 Jun 2026 05:07
URI: https://eref.uni-bayreuth.de/id/eprint/98901