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URN to cite this document: urn:nbn:de:bvb:703-epub-8788-7
Title data
Kurz, Sascha:
Additive codes attaining the Griesmer Bound.
Bayreuth
,
2025
. - I, 179 S.
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Abstract
Additive codes may have better parameters than linear codes. However, still very few cases are known and the explicit construction of such codes is a challenging problem. Here we show that a Griesmer type bound for the length of additive codes can always be attained with equality if the minimum distance is sufficiently large. This solves the problem for the optimal parameters of additive codes when the minimum distance is large and yields many infinite series of additive codes that outperform linear codes.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Keywords: | additive codes; linear codes; Griesmer bound; Galois geometry |
| Subject classification: | Mathematics Subject Classification Code: 05B25 94B65 (94B60) |
| 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-8788-7 |
| Date Deposited: | 22 Dec 2025 11:31 |
| Last Modified: | 22 Dec 2025 11:32 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/8788 |
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Additive codes attaining the Griesmer bound. (deposited 09 Jan 2025 07:40)
- Additive codes attaining the Griesmer Bound. (deposited 22 Dec 2025 11:31) [Currently Displayed]
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