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arXiv 0812.5075math.GM
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一类特殊的集合码及其应用

Special Classes of Set Codes and Their Applications

WB Vasantha Kandasamy, Florentin Smarandache

摘要:

在这本书中,作者介绍了集代码,集bicodes和集n-代码的概念。这些是半群n-码和群n-码的最一般化的概念。定义了几种类型的集合n-码。文中给出了几个例子,使读者能够理解这一概念.这些新的代码类别将在密码学、计算机网络(其中将执行代码分段)和数据存储(其中将保持机密性)中找到应用。我们还描述了这些代码的错误检测和错误纠正。作者认为,这些代码将适合于计算机主导的世界。这本书有三章。第一章介绍了本书的基本概念,使本书自成一体。第二章介绍了集合码的概念。第三章研究了集合双码及其对集合n-码(n >= 3)的推广。本章还介绍了这些码在上述领域中的应用。

英文摘要:

In this book, the authors introduce the notion of set codes, set bicodes and set n-codes. These are the most generalized notions of semigroup n-codes and group n-codes. Several types of set n-codes are defined. Several examples are given to enable the reader to understand the concept. These new classes of codes will find applications in cryptography, computer networking (where fragmenting of codes is to be carried out) and data storage (where confidentiality is to be maintained). We also describe the error detection and error correction of these codes. The authors feel that these codes would be appropriate to the computer dominated world. This book has three chapters. Chapter One gives basic concepts to make the book a self-contained one. In Chapter Two, the notion of set codes is introduced. The set bicodes and their generalization to set n-codes (n >= 3) is carried out in Chapter Three. This chapter also gives the applications of these codes in the above-mentioned fields.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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