Daniel Heinlein

activity

20152025

most citedTables of subspace codes

60 citations · 171 across the 20 of their papers we have counts for

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Showing 2018Show all

4 papers · 1 filter

math.CO2018

New and Updated Semidefinite Programming Bounds for Subspace Codes

Daniel Heinlein, Ferdinand Ihringer

We show that $A_{2} (7, 4) \leq 388$ and, more generally, $A_{q} (7, 4) \leq (q^{2} - q + 1) [7]_{q} + q^{4} - 2 q^{3} + 3 q^{2} - 4 q + 4$ by semidefinite programming for $q \leq 101$ . Furthermore, we exte…

math.CO2018★ 2 cited

Binary Subspace Codes in Small Ambient Spaces

Daniel Heinlein, Sascha Kurz

Codes in finite projective spaces equipped with the subspace distance have been proposed for error control in random linear network coding. Here we collect the present knowledge on…

math.CO2018★ 1 cited

Generalized vector space partitions

Daniel Heinlein, Thomas Honold, Michael Kiermaier +1

A vector space partition $P$ in $F_{q}^{v}$ is a set of subspaces such that every $1$ -dimensional subspace of $F_{q}^{v}$ is contained in exactly one element of…

math.CO2018★ 2 cited

New LMRD bounds for constant dimension codes and improved constructions

Daniel Heinlein

We generalize upper bounds for constant dimension codes containing a lifted maximum rank distance code first studied by Etzion and Silberstein. The proof allows to construct severa…