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Vector space partitions of GF(2)^8

Title data

Kurz, Sascha:
Vector space partitions of GF(2)^8.
In: Serdica Journal of Computing. Vol. 16 (2022) Issue 2 . - pp. 71-100.
ISSN 1312-6555
DOI: https://doi.org/10.55630/sjc.2022.16.71-100

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: Article in a journal
Refereed: Yes
Keywords: Finite Geometry; Vector Space Partitions; Divisible Codes; Linear Codes
Subject classification: Mathematics Subject Classification 2020: 51E23 (51E14)
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
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 30 Mar 2023 05:37
Last Modified: 30 Mar 2023 05:37
URI: https://eref.uni-bayreuth.de/id/eprint/75793