Codes From Difference Sets


Book Description

This is the first monograph on codebooks and linear codes from difference sets and almost difference sets. It aims at providing a survey of constructions of difference sets and almost difference sets as well as an in-depth treatment of codebooks and linear codes from difference sets and almost difference sets. To be self-contained, this monograph covers necessary mathematical foundations and the basics of coding theory. It also contains tables of best BCH codes and best cyclic codes over GF(2) and GF(3) up to length 125 and 79, respectively. This repository of tables can be used to benchmark newly constructed cyclic codes. This monograph is intended to be a reference for postgraduates and researchers who work on combinatorics, or coding theory, or digital communications.




Planar Maps, Random Walks and Circle Packing


Book Description

This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits. One of its main goals is to present a self-contained proof that the uniform infinite planar triangulation (UIPT) is almost surely recurrent. Full proofs of all statements are provided. A planar map is a graph that can be drawn in the plane without crossing edges, together with a specification of the cyclic ordering of the edges incident to each vertex. One widely applicable method of drawing planar graphs is given by Koebe’s circle packing theorem (1936). Various geometric properties of these drawings, such as existence of accumulation points and bounds on the radii, encode important probabilistic information, such as the recurrence/transience of simple random walks and connectivity of the uniform spanning forest. This deep connection is especially fruitful to the study of random planar maps. The book is aimed at researchers and graduate students in mathematics and is suitable for a single-semester course; only a basic knowledge of graduate level probability theory is assumed.




Mathematical Reviews


Book Description




CRC Handbook of Combinatorial Designs


Book Description

From experimental design to cryptography, this comprehensive, easy-to-access reference contains literally all the facts you need on combinatorial designs. It includes constructions of designs, existence results, and properties of designs. Organized into six main parts, the CRC Handbook of Combinatorial Designs covers:







Finite Geometric Structures and their Applications


Book Description

R.C. Bose: Graphs and designs.- R.H. Bruck: Construction problems in finite projective spaces.- R.H.F. Denniston: Packings of PG(3,q).- J. Doyen: Recent results on Steiner triple systems.- H. Lüneburg: Gruppen und endliche projektive Ebenen.- J.A. Thas: 4-gonal configurations.- H.P. Young: Affine triple systems.




Manufacturing Challenges in Electronic Packaging


Book Description

About five to six years ago, the words 'packaging and manufacturing' started to be used together to emphasize that we have to make not only a few but thousands or even millions of packages which meet functional requirements. The aim of this book is to provide the much needed reviews and in-depth discussions on the advanced topics surrounding packaging and manufacturing. The first chapter gives a comprehensive review of manufacturing chal lenges in electronic packaging based on trends predicted by different resources. Almost all the functional specifications have already been met by technologies demonstrated in laboratories. However, it would take tremendous efforts to implement these technologies for mass production or flexible manufacturing. The topics crucial to this implementation are discussed in the following chapters: Chapter 2: Challenges in solder assembly technologies; Chapter 3: Testing and characterization; Chapter 4: Design for manufacture and assembly of electronic packages; Chapter 5: Process modeling, optimization and control in electronics manufacturing; and Chapter 6: Integrated manufacturing system for printed circuit board assembly. The electronics-based products are very competitive and becoming more and more application-specific. Their packages should fulfill cost, speed, power, weight, size, reliability and time-to-market requirements. More importantly, the packages should be manufacturable in mass or flexible production lines. These chapters are excellent references for professionals who need to meet the challenge through design and manufacturing improvements. This book will also introduce students to the critical issues for competitive design and manufacturing in electronic packaging.




Modeling and Simulation for Microelectronic Packaging Assembly


Book Description

Although there is increasing need for modeling and simulation in the IC package design phase, most assembly processes and various reliability tests are still based on the time consuming "test and try out" method to obtain the best solution. Modeling and simulation can easily ensure virtual Design of Experiments (DoE) to achieve the optimal solution. This has greatly reduced the cost and production time, especially for new product development. Using modeling and simulation will become increasingly necessary for future advances in 3D package development. In this book, Liu and Liu allow people in the area to learn the basic and advanced modeling and simulation skills to help solve problems they encounter. Models and simulates numerous processes in manufacturing, reliability and testing for the first time Provides the skills necessary for virtual prototyping and virtual reliability qualification and testing Demonstrates concurrent engineering and co-design approaches for advanced engineering design of microelectronic products Covers packaging and assembly for typical ICs, optoelectronics, MEMS, 2D/3D SiP, and nano interconnects Appendix and color images available for download from the book's companion website Liu and Liu have optimized the book for practicing engineers, researchers, and post-graduates in microelectronic packaging and interconnection design, assembly manufacturing, electronic reliability/quality, and semiconductor materials. Product managers, application engineers, sales and marketing staff, who need to explain to customers how the assembly manufacturing, reliability and testing will impact their products, will also find this book a critical resource. Appendix and color version of selected figures can be found at www.wiley.com/go/liu/packaging




Handbook of Combinatorial Designs


Book Description

Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence




The Packing of Particles


Book Description