处理RSA模型实现中的大整数计算

Nemuramba Denzhe, C. Chibaya
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引用次数: 0

摘要

开发可以处理非常大的整数的系统是具有挑战性的,特别是如果我们被困在使用一些知名的编程语言(如VB、c++、Delphi或Java)的情况下。它们的数字数据类型定义了有限范围。需要创新的方法来处理超出可用原语数据类型支持范围的大整数。RSA模型的实现是使用非常大的整数的典型情况。本文研究了将非常大的整数合并到RSA模型的实现中。我们精确地描述了RSA算法中寻求这种创新的部分,以及BigInteger类的概念如何适用。我们的示例假设使用Java编程。虽然BigInteger类可用于涉及超出适当基本数据类型限制的非常大的整数和的数学过程,但由于缺乏使用此类库的函数示例,开发人员要么不使用类,要么很少使用类。本文对可能出现的新数据类型提供了有价值的见解。这些见解提供了对编程语言新发展的潜在需求的基本见解,特别是需要在编程语言中发明更大类型的数值数据类型。在我们看来,这项正在进行的工作为实现RSA模型的更好的兄弟提供了基础的观点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Handling BigInteger Computations in the Implementation of the RSA Model
Developing systems that can handle very large integers is challenging, especially if we are trapped in using some of the well-known programming languages such as VB, C++, Delphi, or Java. Their numeric data types have defined finite ranges. Innovative methods are required to enable the handling of large integer over and above the ranges supported by available primitive data types. Implementation of the RSA model is a typical case where very large integers are used. This paper investigates incorporation of very large integers into the implementation of the RSA model. We precisely describe parts of the RSA algorithm where such innovations are sought and how the concept of the BigInteger class fits in. Our illustrations assume programming in Java. While the BigInteger class is available for use in mathematical procedures involving very large integral sums beyond the limits of the appropriate basic data type, developers either do not or rarely use the class due to lack of functional examples of where such libraries were used. This paper provides valuable insights into the potential advent of new data types. These insights provide basic insights into the potential need for new developments in programming languages, especially the need to invent even larger types of numerical data types in programming languages. In our views, this work in progress offers foundational views towards implementation of better siblings of the RSA model.
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