Shaofang Hong

activity

20082026

most citedOn deep holes of standard Reed-Solomon codes

22 citations · 137 across the 47 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.NT2017

On deep holes of generalized projective Reed-Solomon codes

Xiaofan Xu, Shaofang Hong, Yongchao Xu

Determining deep holes is an important topic in decoding Reed-Solomon codes. Let $l \geq 1$ be an integer and $a_{1}, \dots, a_{l}$ be arbitrarily given $l$ distinct elements of the finit…

math.NT2017★ 1 cited

Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers

Shaofang Hong, Liping Yang, Qiuyu Yin +1

Let $n$ and $k$ be integers such that $1 \leq k \leq n$ and $f (x)$ be a nonzero polynomial of integer coefficients such that $f (m) \neq = 0$ for any positive integer $m$ . For any $k$ -tuple…