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URN to cite this document: urn:nbn:de:bvb:703-epub-8780-3
Title data
D'haeseleer, Jozefien ; Kurz, Sascha:
Generalized Hamming weights of additive codes and geometric counterparts.
Bayreuth
,
2025
. - 57 S.
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Abstract
We consider the geometric problem of determining the maximum number n_q(r,h,f;s) of (h-1)-spaces in the projective space PG(r-1,q) such that each subspace of codimension f does contain at most $s$ elements. In coding theory terms we are dealing with additive codes that have a large f-th generalized Hamming weight. We also consider the dual problem of the minimum number b_q(r,h,f;s) of (h-1)-spaces in PG(r-1,q) such that each subspace of codimension f contains at least s elements. We fully determine b_2(5,2,2;s) as a function of s. We additionally give bounds and constructions for other parameters.
Further data
| Item Type: | Preprint, postprint |
|---|---|
| Keywords: | additive codes; Galois geometry; blocking sets; subspace codes |
| Subject classification: | Mathematics Subject Classification Code: 94Bxx (51E22) |
| 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-8780-3 |
| Date Deposited: | 19 Dec 2025 10:36 |
| Last Modified: | 19 Dec 2025 10:36 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/8780 |
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