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 2013Show all

3 papers · 1 filter

math.NT2013★ 1 cited

The elementary symmetric functions of reciprocals of the elements of arithmetic progressions

Chunlin Wang, Shaofang Hong

Let $a$ and $b$ be positive integers. In 1946, Erdős and Niven proved that there are only finitely many positive integers $n$ for which one or more of the elementary symmetric func…

math.NT2013★ 1 cited

Uniform lower bound for the least common multiple of a polynomial sequence

Shaofang Hong, Yuanyuan Luo, Guoyou Qian +1

Let $n$ be a positive integer and $f (x)$ be a polynomial with nonnegative integer coefficients. We prove that $lcm_{⌈ n /2 ⌉ \leq i \leq n} {f (i)} \geq 2^{n}$ except that…

math.NT2013★ 7 cited

Constructing permutation polynomials over finite fields

Xiaoer Qin, Shaofang Hong

In this paper, we construct several new permutation polynomials over finite fields. First, using the linearized polynomials, we construct the permutation polynomial of the form $\s…