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arXiv 0801.2681math.GM
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密码学家和计算机科学家的新代码类

New Classes of Codes for Cryptologists and Computer Scientists

W. B. Vasantha Kandasamy, Florentin Smarandache

摘要:

在本书中,我们介绍了几种新的代码类,以帮助密码学家和计算机科学家。我们已经非常非技术性地解释了这些代码,因此不需要强大的数学基础来理解它们。本书还提供了一个简单的方法来检测和纠正传输过程中发生的错误。此外,一些代码被构造成误导入侵者/黑客。伪n码、全n码都可以达到这个目的。这些代码可用于确保网络安全和身份的安全传输。我们以南印度社会领袖佩里亚尔的名字命名了几种新的代码,以纪念他对人类的贡献。本书共分三章。第一章是导论。第二章介绍了双码的概念及其推广,以及n-码。第三章介绍了Periyar线性码。我们使用了两种方法,即伪最佳n-逼近和n-陪集领导人的性质,以检测和纠正错误。

英文摘要:

In this book, we have introduced several new classes of codes to aid cryptologists and computer scientists. We have explained these codes very non-technically so that a strong mathematical foundation is not needed to understand them. This book also provides an easy method to detect and correct errors that occur during transmission. Further, some of the codes are constructed so as to mislead an intruder/ hacker. False n-codes, whole n-codes can serve this pupose. These codes can be used to ensure security in networks and safe transmission of identity. We have named a few new classes of codes after Periyar, the south-Indian social leader, to mark his services to humanity. This book is divided into three chapters. Chapter one is introductory in nature. The notion of bicodes and their generalization, and n-codes are introduced in the second chapter. Periyar linear codes are introduced in the third chapter. We have used two methods, viz. pseudo best n-approximations and n-coset leader properties to detect and correct errors.

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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