Title data
Kurz, Sascha:
Vector space partitions of GF(2)^8.
Bayreuth
,
2023
. - 27 p.
DOI: https://doi.org/10.15495/EPub_UBT_00006861
Abstract in another language
A vector space partition P of the projective space PG(v-1,q) is a set of subspaces in PG(v-1,q) which partitions the set of points. We say that a vector space partition P has type (v-1)^{m_{v-1}} ... 2^{m_2}1^{m_1} if precisely m_i of its elements have dimension i, where 1 <= i <= v-1. Here we determine all possible types of vector space partitions in PG(7,2).
Further data
Item Type: | Preprint, postprint |
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Keywords: | Finite geometry; vector space partitions; divisible codes; linear codes |
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 |
Result of work at the UBT: | Yes |
DDC Subjects: | 500 Science > 510 Mathematics |
Date Deposited: | 25 Feb 2023 22:00 |
Last Modified: | 27 Feb 2023 06:43 |
URI: | https://eref.uni-bayreuth.de/id/eprint/73996 |