Random and guided generation of coherent two-dimensional codes

Two-dimensional codes play a central role for many optical applications. Such codes are distributions of weighted points; a code is good if its autocorrelation closely approximates a multiple of the δ-function. This paper treats coherent codes with weights +1 and -1, shows their significant improvement compared with the incoherent codes which have only weights of +1, and outlines a method of generating good incoherent codes which is more efficient than random generation.     

新一代堆芯多群常数库制作系统的研制

随着新一代组件计算程序计算精度要求的不断提高,组件计算程序对配套多群常数库提出了更高的要求,例如:要求能群结构更加精细、共振参数更加多样、燃耗数据更加精确等。为满足新一代组件计算程序的这一系列需求研发了一套制作多群常数库的系统NPLC-3。NPLC-3系统以NJOY程序为中心包含了输入参数库、驱动程序、主库制作程序、并群、并库、删除、添加、进制转换、数据自动检验等功能模块,针对各功能模块采用不同方法初步验证了系统的正确性。相对传统的数据制作方法,NPLC-3系统在燃耗链设计、燃耗数据计算以及共振数据制作等方面增加新的特性,而且系统采用独立的I/O接口、全自动读取参数库并生成输入卡,相对过去制作数据库的手段有了很大的改进。With the unceasing enhancement of the calculation accuracy requirement on the new generation of lattice code, higher requirements on multi-group constants library were put forward. For example, fine energy group structures are required, more types of data are need for the resonance processing, more accuracy burn-up data is required. To meet this series of demand, a multi-group constants production system NPLC-3 was developed. The NPLC-3 system which mainly based on the NJOY program contains an input parameter database and a series of functional codes such as driver code, main library production code, energy group collapsing code, work library production code and so on. Recently, different methods were adopted to validate these codes respectively according to their functions. Compared to the traditional methods in multi-group constants production, NPLC-3 system adopts several new methods in the design of burn up chain, calculation of burn up data and resonance parameters. What's more, the NPLC-3 system has an independent I/O interface, and can fully automatic generate input cards from the input parameters database. Relative to the past means of production library, NPLC-3 system has great improvement.     

A new family of two-dimensional codes for optical CDMA systems

The design of a new family of two-dimensional single pulse per column codes for optical code division multiple access (OCDMA) networks is reported. The 1-D modified pseudo-noise codes have been known to be orthogonal and their generation and system design based on these codes is rather simple. But their performance is limited due to the bandwidth constraints if the code length increases. Hence, using these 1-D modified pseudo-noise codes, modified 2-D pseudo-noise matrix codes (MPMCs) are generated. The system performance is evaluated for two, three and four simultaneous users using the link with all the sources responsible for degradation included: attenuation, chromatic dispersion, non-linear refractive effects, non-linear scattering and four-wave mixing. The effect of the non-linear and lossy dispersive medium over the system performance is shown by plotting the BER with respect to the link length for the systems designed using encoders/decoders base on 1-D modified pseudo-noise codes and our MPMCs. The performance is compared for the two types of codes by finding the crosstalk due to interfering users simultaneously operating in the network.     

A new family of two-dimensional triple-codeweight asymmetric optical orthogonal code for OCDMA networks

A new generation algorithm of two-dimensional triple-codeweight asymmetric optical orthogonal codes for optical code division multiple access （OCDMA） networks is proposed. The code cardinality is obtained and the error-probability performance for corresponding OCDMA system is analyzed. The codes with two constraints （i.e., auto- and cross-correlation properties） being unequal are taken into account. On the premise of fixed system resources, the code of the error-probability performance, it is shown cardinality can be significantly improved. By analysis that the codes with different parameters have different performances. Therefore, this type of codes can be applied to support diverse quality of service （QoS） and satisfy the quality requirement of different multimedia or distinct users, and simultaneously make the better use of bandwidth resources in oDtical networks.     

Construction of Exponent matrix compatible for multiple lifting sizes for 5G New Radio

Rate-compatible non binary LDPC codes are used as coding scheme for data transmission in fifth generation new radio. In this paper, we have presented a method for construction of exponent matrix. We first discuss about the types of the cycles and analyze the cycles that are responsible for the degradation of the error performance of the LDPC codes. At low SNR and higher code rates the occurrence of errors will be high, as the parity bits are less at higher code rates. This becomes a challenge while constructing the exponent matrix. In order to fulfill the challenge, we propose a simple and practical algorithm to construct the exponent matrix. The constructed matrix can be used for various code rates and information lengths. The constructed matrix is based on second lifting size set of 5G standard. Simulation results show that the proposed algorithm is effective and exhibits that the constructed LDPC codes can even perform well at low SNR and at higher code rate.     

Optimal design of optical reference signals by use of a genetic algorithm

A new technique for the generation of optical reference signals with optimal properties is presented. In grating measurement systems a reference signal is needed to achieve an absolute measurement of the position. The optical signal is the autocorrelation of two codes with binary transmittance. For a long time, the design of this type of code has required great computational effort, which limits the size of the code to approximately 30 elements. Recently, the application of the dividing rectangles (DIRECT) algorithm has allowed the automatic design of codes up to 100 elements. Because of the binary nature of the problem and the parallel processing of the genetic algorithms, these algorithms are efficient tools for obtaining codes with particular autocorrelation properties. We design optimum zero reference codes with arbitrary length by means of a genetic algorithm enhanced with a restricted search operator.     

SN方法粒子输运计算程序自动建模关键技术问题研究

在充分调研和分析SN方法粒子输运计算程序自动建模方法的基础上，对建模过程中的模型文件格式识别、属性编辑、空腔处理及自动划分离散网格等关键技术问题进行了研究，并提出了合理可行的解决方法。通过对SNAM程序建模部分功能测试，验证了这些方法的正确性和有效性。This paper presents two approaches to enhance the geometry modeling ability of SN particle transport simulation codes and focus on the key issues that lie in the processing from CAD model to SN code geometry model, e.g. CAD file format support, void modeling, mesh generation and model-editing. SNAM （SN Automatic Modeling system） has been developed as an interface code between commercial CAD software and SN particle transport simmulation codes. The testing results have shown that the algorithm and implementation used in SNAM are efficient and capable of all the necessary processing from CAD model to SN geometry model.     

Design of double-weight code for synchronous OCDMA systems with power control

Double-weight optical code division multiple access(OCDMA) systems are proposed for studying differentiated quality-of-service transmission. Based on quadratic congruence code(QCC), we construct a one-dimensional double-weight code family, which can be well utilized in incoherent synchronous double-weight OCDMA networks. By introducing algebraic transformation to code sequences of QCC in level 1, we obtain multiple double-weight codes with cross-correlation 1. Under the same-bit-power assumption, the performance of low-weight codes can be significantly improved and is always superior to that of high-weight codes in double-weight OCDMA systems with power control. This property is contrary to previous conclusions under the same-chip-power assumption.     

Microcomputer-based digital pulse compression system for ultrasonic NDT

A microcomputer-based digital pulse compression system suitable for ultrasonic non-destructive testing applications is described. By utilizing software for code generation as well as for correlation processing, this approach possesses a high degree of flexibility accommodating different types and lengths of transmission codes. The implemented system, which employs bi-phase modulation of the transmitter waveforms with m-sequences and Golay codes, provides significant signal-to-noise ratio enhancement with zero range sidelobes. Results from the operating system are in good agreement with theoretical predictions and confirm the feasibility of the method.     

Optimum "balanced codes" for optical sequence-inversed-keying direct-sequence code-division multiplexing networks

When sequence-inversed-keying, direct-sequence, code-division multiplexing as a multiplexing technology for optical fiber serial networks is applied, only one code is needed to address the individual nodes. We describe research on optimum "balanced codes." The surpassing 6 dB improvement in comparison with standard pseudonoise codes will be discussed in depth.     

A Construction of Quantum Error-Locating Codes

We present the construction of quantum error-locating(QEL) codes based on classical error-locating(EL)codes. Similar to classical EL codes, QEL codes lie midway between quantum error-correcting codes and quantum errordetecting codes. Then QEL codes can locate qubit errors within one sub-block of the received qubit symbols but do not need to determine the exact locations of the erroneous qubits. We show that, an e-error-locating code derived from an arbitrary binary cyclic code with generator polynomial g(x), can lead to a QEL code with e error-locating abilities, only if g(x) does not contain the(1 + x)-factor.     

拍瓦激光与铜靶作用产生光核中子的数值模拟研究

激光驱动中子源由于中子通量高、短脉冲等特点受到广泛关注。通过辐射流体动力学、粒子动力学和蒙特卡罗三种数值模拟程序的组合使用,对超短强激光与铜靶作用产生光核中子进行了全物理过程模拟。首先使用辐射流体动力学程序获得激光预脉冲产生的预等离子体密度分布,然后将预等离子体输入粒子动力学程序获得超短强激光主脉冲产生的超热电子信息,最后将超热电子输入蒙特卡罗程序得到光核中子。模拟获得了光核中子的产额、能谱和角分布信息,发现采用强度1022 W/cm2激光、直径和厚度均为4 cm的Cu圆柱靶,可以获得产额为1.2108/J的光核中子。     

一种跳频扩时码的构造及性能分析

以一维二次同余码(QCC)作为扩时模式，以光正交码(OOC)和QCC码作为频域跳频模式，通过时域和频域的组合，构造了适用于光码分多址(OCDMA)系统的QCC/QCC和QCC/OOC 2种跳频扩时码，并对码的容量及其相关性进行了分析。与一维QCC码相比，QCC/QCC跳频扩时码的容量扩大了p 1倍（p为码重），相关性得到改善，并且码字异相自相关限λa=1，互相关限λc=2；QCC/OOC跳频扩时码具有更大的码容量和更好的相关性，码字异相自相关限λa=0，所有码字按一定规律可分成p 1组（p为码重），每组内码字的互相关限λa=1，不同组间码字的互相关限λa=2。所得结果为光码分多址系统中跳频扩时码的构造提供了一种新的方法。     

一种严格最佳(ν,k,1)光正交码的设计方法

介绍了严格最佳和准最佳(ν,k,1)光正交码的定义，阐述了它们与(ν,k,1)循环差集族的关系。基于Wilson均匀分布差引理和初等数论的基本理论，提出一种最佳(ν,k,1)循环差集族的构造方法，即构造定义在ν阶有限域上满足特定约束条件的k元集合。将该方法用于光正交码的设计中，可以有效地设计一些严格最佳(ν,k,1)光正交码，其中，码长ν为素数，码重k的取值为4、5和6。最后结合具体实例，给出严格最佳(ν,k,1)光正交码的计算机辅助设计方法。同其他设计方法相比，该设计方法既简单又实用，尤其对严格最佳（ν,k,1）光正交码而言，设计效率较高；随着码重k的增加，码的设计效率逐渐降低。     

基于低密度奇偶校验码的超强前向纠错码设计

光纤中的传输效应(如色散、偏振模色散(PMD)和非线性效应等)会严重影响传输速率和传输距离的进一步提高。因而有必要研究性能更好的新超强前向纠错(Super-FEC) 码型,使其在光通信系统中获得更高的编码增益和更好的纠错性能。简单介绍了低密度奇偶校验(LDPC)码, 然后提出光通信系统中一种基于LDPC码的超强前向纠错(Super-FEC)码型,构造了冗余度为6.68%的新颖LDPC(3969,3720)码, 并给出超强FEC码型的仿真结果。通过与RS(255,239)及BCH(3860,3824)+BCH(2040,1930)进行对比分析, 还分析与探讨了新LDPC码型的编译码电路的设计实现问题。通过理论分析与仿真结果表明这种超强 FEC 码型具有良好的性能, 可以节省硬件开销, 比较适用于光通信系统中, 可作为超强 FEC 码型的候选码。     

Comparison and analysis of codes for remodulation WDM-PON with adaptive code selection

In a remodulation PON, the upstream signal quality can be improved when the downstream signal is coded. But low code efficiency may result in network congestion in downlink. Based on the downlink traffic, a self-adapting PON can select the proper downstream modulation codes to achieve the optimal network performance. With adaptive code selection, network congestion can be avoided and the remodulated upstream signal suffers minimal performance degradation. Some codes of various coding efficiency are required to be selected in this self-adapting PON. These codes should induce as little crosstalk to the upstream signal as possible. Several candidate codes with coding efficiencies from 50% to 80%, such as Manchester code, 3b5b code, 4b5b code, 4b6b code and 6b8b code are tested through simulation and experiment in this paper, and their performances are compared. The results show that the optimum code for downstream modulation depends on the downlink traffic and the upstream bit rate. The results will help the self-adapting remodulation WDM-PON to select the proper downstream modulation codes in different traffic situations.     

一类基于级联结构的量子好码

借助经典级联码的思想，详细阐述了通过适当选择量子码作为外码和内码，构造一般意义量子级联码的过程.在此基础上，通过选择量子RS码作为外码，一组特殊结构的量子码作为内码，具体构造出了一类量子级联码，证明了其是量子好码.在量子纠错码领域中，这是首次利用经典坏码构造出量子好码.     

A novel non-coherent spectral OCDMA system using one-dimensional expanded Hybrid codes for two-code keying

We propose leveraging one-dimensional expanded Hybrid codes (1-D E-Hybrid codes) for two-code keying (TCK) in spectral amplitude coding (SAC) optical code division multiple access (OCDMA) networks. Compared with the existing work, the proposed system can utilize all codes and provide a larger code size to support more simultaneous users. The numerical results demonstrate that the 1-D E-Hybrid codes for TCK outperform the existing 1-D approaches in terms of bit error rate (BER), and the data transmission rate can achieve 2.5 Gbps.     

Homological stabilizer codes

In this paper we define homological stabilizer codes on qubits which encompass codes such as Kitaev’s toric code and the topological color codes. These codes are defined solely by the graphs they reside on. This feature allows us to use properties of topological graph theory to determine the graphs which are suitable as homological stabilizer codes. We then show that all toric codes are equivalent to homological stabilizer codes on 4-valent graphs. We show that the topological color codes and toric codes correspond to two distinct classes of graphs. We define the notion of label set equivalencies and show that under a small set of constraints the only homological stabilizer codes without local logical operators are equivalent to Kitaev’s toric code or to the topological color codes.     

适用于同步光码分多址通信系统的同步光码及其全光可调编/解码器

异步光码分多址通信系统,要求用户地址码具有好的循环自相关和互相关特性,因此,系统中的用户数受到很大的限制;而对同步光码分多址通信系统,只要求光地址码是非循环相关意义下的准正交,从而可实现较大的用户数,因此具有广阔的应用前景.实现同步光码分多址的关键之一是同步光码的设计和可调光编/解码器的实现.本文介绍了同步光码的构造方法,给出了同步光码的构造过程,分析了码的容量,提出了全光可调同步光码编/解码器的实现方法.