Low-Rank Matrix Recovery using Gabidulin Codes in Characteristic Zero [article]

Sven Müelich, Sven Puchinger, Martin Bossert
2016 arXiv   pre-print
We present a new approach on low-rank matrix recovery (LRMR) based on Gabidulin Codes. Since most applications of LRMR deal with matrices over infinite fields, we use the recently introduced generalization of Gabidulin codes to fields of characterstic zero. We show that LRMR can be reduced to decoding of Gabidulin codes and discuss which field extensions can be used in the code construction.
arXiv:1604.04397v2 fatcat:pucnc77xdve57admuavbjb5pcq