Theoretical and Natural Science
TNS Vol.2 (CIAP 2022), 02 February 2023
Open
Access | Article
Development of Number Theory and the Application in Cryptography
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Abstract
The primary focus of number theory, one of the fields of fundamental mathematics, is on the characteristics of integers. The development of cryptography also benefited greatly from the contributions of number theory. The paper primarily examines the evolution of number theory and its use in cryptography using a method of literature review. The study discovers that number theory development in the East reached a prosperous phase in the 1930s. From the 15th and 16th centuries through the 19th century, number theory flourished in the first. Number theory is still being developed, as demonstrated by the discovery of the biggest known prime number by American mathematician Curtis Cooper. Numerology is also extensively employed in cryptography, including the RSA technique and digital signatures. Numerous algorithms used in cryptography mostly depend on a working understanding of number theory.
Keywords
number theory, cryptography, application
References
1. Euclid, Elements of Euclid [D]. Dent, 1993.
2. Wangjun, On the development and influence of number theory in ancient China [J]. Journal of Anyang Normal University, 2014: 118-120
3. Guohaimin. Application of number theory in cryptography [J]. Computer Knowledge and Technology, 2010: 4614-4618
4. Liujia. Some applications of number theory in cryptography[J]. New Courses' Study, 2013：184-185
5. Fujingbo. Application of number theory knowledge in cryptography [J]. Scientific and Technological Innovation, 2012: 183
6. Huangyao. Analysis of the application of number theory in cryptography [J]. Modern Communication, 2017: 196
7. Songyanhong, Kangbaoyuan. Application of number theory in cryptography [J]. Divineland, 2012: 30-31
8. Chenminyi, Xiexiaojuan. Numbers and number theory [J]. Open Class, 2017: 94-95,112-113
9. Zhangrong.The application of mathematics to cryptography [J]. Telecom World, 2016: 258
Data Availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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