Projects per year
Abstract
In this paper, first steps are taken towards characterizing rank-decorated lattices of cyclic flats Z(M) that belong to matroids M that can be represented over a prescribed finite field Fq. Two natural maps from Z(M) to the lattice of cyclic flats of a minor of M are given. Binary matroids are characterized via their lattice of cyclic flats. It is shown that the lattice of cyclic flats of a simple binary matroid without isthmuses is atomic.
Original language | English |
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Article number | 102165 |
Number of pages | 47 |
Journal | Advances in Applied Mathematics |
Volume | 127 |
DOIs | |
Publication status | Published - Jun 2021 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Atomic lattices
- Binary matroids
- Cyclic flats
Projects
- 3 Finished
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Number-theoretic and combinatorial tools for private and secure cloud services
Hollanti, C. (Principal investigator), Arabi Kakavandfaramani, M. (Project Member), Grezet, M. (Project Member), Westerbäck, T. (Project Member), Damir, M. (Project Member), Blomqvist, F. (Project Member) & Tajeddine, R. (Project Member)
01/07/2016 → 30/06/2018
Project: Academy of Finland: Other research funding
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Applied Algebra and Number Theory in Robust and Secure Wireless Cloud Storage Systems
Hollanti, C. (Principal investigator), Amoros Carafi, L. (Project Member), Tran Nguyen Thanh, H. (Project Member), Keränen, J. (Project Member), Vesalainen, E. (Project Member), Blanco-Chacón, I. (Project Member), Tajeddine, R. (Project Member), Gnilke, O. (Project Member), Karpuk, D. (Project Member), Milione, P. (Project Member), Westerbäck, T. (Project Member) & Kuznetsova, O. (Project Member)
01/09/2014 → 31/08/2018
Project: Academy of Finland: Other research funding
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Applied algebra in communications technology
Hollanti, C. (Principal investigator), Gnilke, O. (Project Member), Greferath, M. (Project Member), Blomqvist, F. (Project Member) & Barreal Fernandez, A. (Project Member)
01/09/2014 → 31/08/2019
Project: Academy of Finland: Other research funding