Skip to content (access key 's')
Logo of Technion
Logo of CS Department
Events

Events

Coding Theory: Vector Network Coding Based on Subspace Codes Outperforms Scalar Linear Network Coding
event speaker icon
Antonia Wachter-Zeh (CS, Technion)
event date icon
Sunday, 1.5.2016, 14:30
event location icon
Taub 601
This talk considers vector network coding based on rank-metric codes and subspace codes. Our main result is that vector network coding can significantly reduce the required field size compared to scalar linear network coding in the same multicast network.

The achieved gap between the field size of scalar and vector network coding is in the order of $q^{(\ell-1)t^2/\ell}-q^t$, for any $q \geq 2$, where $t$ denotes the dimension of the vector solution, and the number of messages is $2 \ell$, ${\ell \geq 2}$. Previously, only a gap of constant size had been shown. This implies also the same gap between the field size in linear and non-linear scalar network coding for multicast networks. Similar results are given for any number of odd messages greater than two. The results are obtained by considering several multicast networks which are variations of the well-known combination network.

Joint work with Tuvi Etzion.
[Back to the index of events]