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Vector space partitions of GF(2)^8

Title data

Kurz, Sascha:
Vector space partitions of GF(2)^8.
Bayreuth , 2023 . - 27 p.
DOI: https://doi.org/10.15495/EPub_UBT_00006861

Official URL: Volltext

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
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