An Efficient Chosen-Plaintext Attack on an Image Fusion Encryption Algorithm Based on DNA Operation and Hyperchaos

This paper proposes a more efficient attack method on an image fusion encryption algorithm based on DNA operation and hyperchaos. Although several references have reported some methods to crack the image encryption algorithm, they are not the most efficient. The proposed chosen-plaintext attack method can break the encryption scheme with (4×N/M+1) or (M/(4×N)+1) chosen-plaintext images, which is much less than the number of chosen-plaintext images used in the previous cracking algorithms, where M and N represent the height and width of the target ciphertext image, respectively. The effectiveness of the proposed chosen-plaintext attack is supported by theoretical analysis, and verified by experimental results.     

基于步进啁啾光纤光栅的OCDMA频阈相位编码

本文提出了一种在步进啁啾光纤光栅实现OCDMA频阈相位编码的方案,该方案中引入了影射码,根据影射码在相应的子光栅之间加入相移以实现正确的编解码.该编解码器结构简单,数值模拟得到了好的相关输出.     

Constructing Four-Photon States for Quantum Communication and Information Processing

We provide a method for constructing a set of four-photon states suitable for quantum communication applications. Among these states is a set of concatenated quantum code states that span a decoherence-free subspace that is robust under collective-local as well as global dephasing noise. This method requires only the use of spontaneous parametric down-conversion, quantum state post-selection, and linear optics. In particular, we show how this method can be used to produce all sixteen elements of the second-order Bell gem , which includes these codes states and is an orthonormal basis for the Hilbert space of four qubits composed entirely of states that are fully entangled under the four-tangle measure.     

余弦二值编码纯相位全息图的数字微镜器件显示

分析了采用错误减算法的迭代过程,在已知物波函数傅里叶谱的振幅和物波函数振幅的情况下恢复出纯相位的物波函数,最大限度地保留物波的振幅及相位信息.提出采用余弦二值编码生成二值全息图,即全息图的透射率函数取0或1.二值全息图通过数字微镜器件全息显示系统进行了重构显示,重构效果很好.理论分析了数字微镜器件的衍射效率,表明其最大衍射效率仅和微镜之间的间隔尺寸与微镜边长之比有关.余弦二值编码方法从理论上消除了零级衍射,可以制作像素较多的全息图.     

A quantum dense coding implementation in an ion trap

This paper reports that a quantum dense coding can be implemented with ions confined in a linear trap and interacting with laser beams. The scheme is insensitive to the interaction between the quantum channel and the environment. The Bell-state measurement is not involved and the probability of success in our scheme is $1.0$.     

阿达玛变换在激光告警技术中的应用

系统信噪比一直是制约激光探测武器性能的关键性因素之一。为提高系统探测信噪比,利用阿达玛变换方法,在计算模板大小（17.48×17.48mm）和码元数N=255的基础上,详细介绍了Sn循环矩阵的生成,最后选择液晶空间光调制器充当编码模板。通过在液晶面板上不同位置施加不同的电压,利用旋光效应对通过的激光衍射条纹进行控制,按其通过与否（1/0）进行编码。在这一方法指导下进行了系统的仿真实验研究并获得成功。实验结果表明：将阿达玛变换应用于激光光谱测量,在不增加测量次数的情况下,可以有效地提高系统的信噪比。     

一种新的空间域图像错误掩盖方法

提出了空间域图像错误掩盖方法.在信道丢包率较高时,采用场编码交织技术将图像按像素行分为两个场,并分别独立编码和传输.当某个场中的图像数据在网络传输过程中丢失时,用相邻场的像素值通过插值的方法恢复丢失数据.实验结果表明,掩盖效果明显优于现有的空间域错误掩盖方法,即使在图像数据丢失一半的情况下,恢复图像主观上仍可接受,测试图像的PSNR增益可达2.77~7.24 dB.     

Linear independence of a finite set of time-frequency shifts

This paper introduces an open conjecture in time-frequency analysis on the linear independence of a finite set of time-frequency shifts of a given L² function. Firstly, background and motivation for the conjecture are provided. Secondly, the main progress of this linear independence in the past twenty five years is reviewed. Finally, the partial results of the high dimensional case and other cases for the conjecture are briefly presented.     

Side Information Generation Scheme Based on Coefficient Matrix Improvement Model in Transform Domain Distributed Video Coding

In order to effectively improve the quality of side information in distributed video coding, we propose a side information generation scheme based on a coefficient matrix improvement model. The discrete cosine transform coefficient bands of the Wyner–Ziv frame at the encoder side are divided into entropy coding coefficient bands and distributed video coding coefficient bands, and then the coefficients of entropy coding coefficient bands are sampled, which are divided into sampled coefficients and unsampled coefficients. For sampled coefficients, an adaptive arithmetic encoder is used for lossless compression. For unsampled coefficients and the coefficients of distributed video coding coefficient bands, the low density parity check accumulate encoder is used to calculate the parity bits, which are stored in the buffer and transmitted in small amount upon decoder request. At the decoder side, the optical flow method is used to generate the initial side information, and the initial side information is improved according to the sampled coefficients by using the coefficient matrix improvement model. The experimental results demonstrate that the proposed side information generation scheme based on the coefficient matrix improvement model can effectively improve the quality of side information, and the quality of the generated side information is improved by about 0.2–0.4 dB, thereby improving the overall performance of the distributed video coding system.     

The movement towards a more experimental approach to problem solving in mathematics using coding

Motivated by a problem proposed in a coding competition for secondary students, I will show on this paper how coding substantially changed the problem-solving process towards a more experimental approach.