Constructions and Bounds for Mixed-Dimension Subspace Codes

Titelangaben

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Constructions and Bounds for Mixed-Dimension Subspace Codes.
Bayreuth , 2015 . - 28 S.

Volltext

	Format: PDF Name: alc15proc_arxiv.pdf Version: Veröffentlichte Version Verfügbar mit der Lizenz Creative Commons BY 3.0: Namensnennung
	Download (472kB)

Abstract

Codes in finite projective spaces with the so-called subspace distance as metric have been proposed for error control in random linear network coding. The resulting Main Problem of Subspace Coding is to determine the maximum size $A_q(v,d)$ of a code in $PG(v-1,F_q)$ with minimum subspace distance $d$. Here we completely resolve this problem for $d>=v-1$. For $d=v-2$ we present some improved bounds and determine $A_2(7,5)=34$.