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 2012Show all

6 papers · 1 filter

cs.IT2012★ 1 cited

Nonlinearity of quartic rotation symmetric Boolean functions

Liping Yang, Rongjun Wu, Shaofang Hong

Nonlinearity of rotation symmetric Boolean functions is an important topic on cryptography algorithm. Let $e \geq 1$ be any given integer. In this paper, we investigate the following…

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…