Dictionary based codes involving power product expansions

H. Gingold; Jocelyn Quaintance

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Dictionary based codes involving power product expansions

机译：涉及电力产品扩展的基于词典的代码

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This paper introduces the Integer Power Product Cryptosystem, a prototype for a dictionary based crpytosytem which could be of interest to elite organizations. Let be a set of positive integers. The Integer Power Product Cryptosystem exploits the one to one correspondence between an integer power product expansion, and its associated power series representation, by taking the series representation, converting it into product format, and transmitting a set of N coefficients, namely. The crux of our decryption amounts to solving a finite number of Diophantine equations. It is accomplished through either a Basic Substitution Algorithm or a computer assisted guess and check algorithm and transforms. Algebraic and complexity properties of these two algorithms are analyzed. Preliminary security issues are discussed. Numerous detailed examples are provided.

机译：本文介绍了整数电源密码系统，基于词典的克罗维斯化的原型可能对精英组织感兴趣。让一组正整数。整数功率加密系统通过采用系列表示，将其转换为产品格式，并传输一组N系数，将整数功率扩展和其相关的电源系列表示之间的一对应的对应关系利用了整数功率扩展和其相关的电源系列表示之间的一对应的对应关系。我们解密的关键是解决有限数量的衍生灵氨酸方程。它是通过基本替代算法或计算机辅助猜测和检查算法和转换完成的。分析了这两种算法的代数和复杂性特性。讨论了初步安全问题。提供了许多详细的例子。

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来源
《Journal of Discrete Mathematical Sciences and Cryptography》 |2018年第5期|共24页
作者
H. Gingold; Jocelyn Quaintance;
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作者单位

Department of Mathematics West Virginia University Morgantown WV 26506 U.S.A;

Department of Computer Science University of Pennsylvania Philadelphia PA 19104 U.S.A.;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Power products; Generalized power products; Generalized integer power products; Power series; Partitions; Expansions; Diophantine equations; Cryptosystems; Algorithms; Security.;

机译：电力产品;广义电力产品;广义整数电力产品;电力系列;分区;扩张;衍生素方程;密码系统;算法;安全性。;

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1. Dictionary based codes involving power product expansions [J] . H. Gingold, Jocelyn Quaintance Journal of Discrete Mathematical Sciences and Cryptography . 2018,第5期

机译：涉及电力产品扩展的基于词典的代码
2. Realtime data compression algorithm for high speed data communication: expansion of code dictionary based on logical operations [J] . Tomokazu Irie, Tetsuo Tsujioka, Hisayoshi Sugiyama, 電子情報通信学会技術研究報告. 通信方式. Communication Systems . 2001,第356期

机译：高速数据通信的实时数据压缩算法：基于逻辑运算的代码字典扩展
3. Realtime data compression algorithm for high speed data communication: expansion of code dictionary based on logical operations [J] . Tomokazu Irie, Tetsuo Tsujioka, Hisayoshi Sugiyama, 電子情報通信学会技術研究報告. 通信方式. Communication Systems . 2001,第356期

机译：高速数据通信实时数据压缩算法：基于逻辑运算的代码字典扩展
4. Use of Free-Jet Expansion, Molecular Beam Mass Spectrometer to Understand Processes Involving Volatile Corrosion Products [C] . N.S.Jacobson International symposium on high temperature corrosion and protection of materials . 1997

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5. Reducing Covariate Factors of Gait Recognition Using Feature Selection, Dictionary-Based Sparse Coding, and Deep Learning. [D] . Alotaibi, Munif. 2017

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6. Development of Natural Compound Molecular Fingerprint (NC-MFP) with the Dictionary of Natural Products (DNP) for natural product-based drug development [O] . Myungwon Seo, Hyun Kil Shin, Yoochan Myung, 2020

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7. IDENTIFIED (integrated dictionary-based extraction of non-language-dependent token information for forensic identification, examination, and discrimination): A dictionary-based system for extracting source code metrics for software forensics [O] . Gray A, Sallis P, MacDonell S 2012

机译：识别（用于法医鉴定，检查和鉴别的基于字典的非语言相关令牌信息的集成提取）：基于字典的系统，用于提取软件取证的源代码度量

Dictionary based codes involving power product expansions

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