Three-weight linear codes from Weil sums

Journal of Algebraic Combinatorics - By appropriately choosing a defining set, we define a class of linear codes and establish their complete weight enumerators and weight enumerators using Weil...     

Complete weight enumerators of a family of three-weight linear codes

Linear codes have been an interesting topic in both theory and practice for many years. In this paper, for an odd prime p, we present the explicit complete weight enumerator of a family of p-ary linear codes constructed with defining set. The weight enumerator is an immediate result of the complete weight enumerator, which shows that the codes proposed in this paper are three-weight linear codes. Additionally, all nonzero codewords are minimal and thus they are suitable for secret sharing.     

Weight enumerators of reducible cyclic codes and their dual codes

Let ${\mathbb{F}}_q$ be a finite field and $n$ a positive integer. In this paper, we find a new combinatorial method to determine weight enumerators of reducible cyclic codes and their dual codes of length $n$ over ${\mathbb{F}}_q$, which just generalize results of Zhu et al. (2015); especially, we also give the weight enumerator of a cyclic code, which is viewed as a partial Melas code. Furthermore, weight enumerators obtained in this paper are all in the form of power of a polynomial.     

三维周期结构弱无条件稳定时域有限差分算法

从麦克斯韦方程出发,导出了适用于周期结构的三维弱无条件稳定时域有限差分（FDTD）算法的迭代式,在理论上证明了其稳定性条件,其稳定性条件比普通FDTD的稳定性条件要宽松,并将周期边界条件应用到迭代式中,得到了可直接编程迭代的方程,给出了对其特有的一类非三对角阵的解决办法。最后通过算例将计算结果与常规FDTD及ADI-FDTD计算结果比较,验证了算法的精确性和有效性。     

Sulfur-doped black silicon formed by metal-assist chemical etching and ion implanting

We fabricated sulfur-doped black silicon by metal-assist chemical etching (MCE) and ion implanting. The morphologies of silicon nanowire (SiNW) arrays and the concentration of sulfur in black silicon were analyzed by scanning electron microscope (SEM). Sulfur-doped black silicon shows higher absorption in entire 0.3–2.5 μm wavelength range as compared to undoped SiNW arrays and flat silicon. The changes in the absorption spectra of black silicon with different etching durations and annealing temperature are also shown. Upon annealing, the absorption decreases significantly in 2–2.5 μm wavelength region. The novel results clearly indicate that sulfur implanting could produce below band gap absorption in the silicon substrate.     

用生活用品检验海带与食盐中碘的研究

中学教材中在检验海带中的碘元素时,先要灰化海带,再用各种化学试剂与方法鉴别,操作繁琐且不易得出准确结果。用生活中易得的白醋浸泡海带,然后用双氧水氧化其浸出液,可迅速地判断出所购买的海带的真假。用此浸出液还可进一步检验食盐中的碘元素,方便快捷。     

气相色谱-串联质谱法同时测定化妆品中28种香料成分北大核心CSCD

随着化妆品种类的日益增多,化妆品中的香精香料成分受到了越来越多人的关注,建立化妆品中香精香料成分的分析测定方法是消除人们担忧最有效的措施之一。该研究建立了气相色谱-串联质谱(GC-MS/MS)同时测定化妆品中28种香料残留的方法。样品由甲醇提取,含油脂较多的经中性氧化铝固相萃取小柱净化,色素多、基质复杂的由QuEChERS净化,待测物采用GC-MS/MS测定,以保留时间和特征离子对定性,外标法定量。实验结果表明,分析物质的检出限(S/N=3)为2~20μg/kg,定量限(S/N>10)为5~50μg/kg。28种物质分别在1~100、2~200、4~200、10~1 000μg/L范围内线性关系良好,分析物质的线性相关系数(r^(2))>0.999。在空白样品中添加28种香料,添加水平为50~500μg/kg时,回收率范围为71.3%~120.4%, RSD范围为1.5%~14.6%。该方法可对28种香料成分进行准确测定,不但可以有效排除复杂基体的干扰,而且简单、灵敏、稳定,能够很好地应用于化妆品中香料的含量测定。通过该方法对16种化妆品中的香精香料成分进行测定,发现12种化妆品中均检出相关香料成分,说明化妆品中的香精香料安全应引起重视。