Some results on deep holes of generalized projective Reed-Solomon codes

Let $l\ge 1$ be an integer and $a_1,\ldots,a_l$ be arbitrarily given $l$ distinct elements of the finite field ${\bf F}_q$ of $q$ elements with the odd prime number $p$ as its characteristic. Let $D={\bf F}_q\backslash\{a_1,\ldots,a_l\}$ and $k$ be an integer such that $2\le k\le q-l-1$. For any $f(...

Full description

Bibliographic Details
Main Authors: Xiaofan Xu, Yongchao Xu
Format: Article
Language:English
Published: AIMS Press 2019-02-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2019.2.176/fulltext.html