%0 Journal Article
%T On deep holes of generalized Reed-Solomon codes
%A Rongjun Wu
%A Shaofang Hong
%J Mathematics
%D 2012
%I arXiv
%X Determining deep holes is an important topic in decoding Reed-Solomon codes. In a previous paper \cite{[WH]}, we showed that the received word $u$ is a deep hole of the standard Reed-Solomon codes $[q-1, k]_q$ if its Lagrange interpolation polynomial is the sum of monomial of degree $q-2$ and a polynomial of degree at most $k-1$. In this paper, we extend this result by giving a new class of deep holes of the generalized Reed-Solomon codes.
%U http://arxiv.org/abs/1205.7016v1