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 2012 · math.NTShow all

5 papers · 2 filters

math.NT2012

New Lower Bounds for the Least Common Multiples of Arithmetic Progressions

Rongjun Wu, Qianrong Tan, Shaofang Hong

For relatively prime positive integers $u_{0}$ and $r$ and for $0 \leq k \leq n$ , define $u_{k} := u_{0} + k r$ . Let $L_{n} := lcm (u_{0}, u_{1}, ..., u_{n})$ and let $a, l \geq 2$ be any integers. In t…

math.NT2012

Divisibility by 2 of Stirling numbers of the second kind and their differences

Jianrong Zhao, Shaofang Hong, Wei Zhao

Let $n, k, a$ and $c$ be positive integers and $b$ be a nonnegative integer. Let $ν_{2} (k)$ and $s_{2} (k)$ be the 2-adic valuation of $k$ and the sum of binary digits of $k$ , respectivel…

math.NT2012★ 1 cited

The least common multiple of consecutive quadratic progression terms

Shaofang Hong, Guoyou Qian

Let $k$ be an arbitrary given positive integer and let $f (x) \in Z [x]$ be a quadratic polynomial with $a$ and $D$ as its leading coefficient and discriminant, respectively…

math.NT2012★ 19 cited

On deep holes of generalized Reed-Solomon codes

Shaofang Hong, Rongjun Wu

Determining deep holes is an important topic in decoding Reed-Solomon codes. In a previous paper [8], we showed that the received word $u$ is a deep hole of the standard Reed-Solom…

math.NT2012

On the periodicity of a class of arithmetic functions associated with multiplicative functions

Guoyou Qian, Qianrong Tan, Shaofang Hong

Let $k \geq 1, a \geq 1, b \geq 0$ and $c \geq 1$ be integers. Let $f$ be a multiplicative function with $f (n) \neq = 0$ for all positive integers $n$ . We define the arithmetic function $g_{k,f…