Open Access
Research Article
Increasing security to public key cryptography for point-to-point communication
*Kritsanapong SomsukCorresponding authorkritsanapong@udru.ac.thDepartment of Computer and Communication Engineering Faculty of Technology Udon Thani Rajabhat University, UDRU Udon Thani 41000 ThailandDepartment of Computer and Communication Engineering Faculty of Technology and Engineering Udon Thani Rajabhat UniversityUDRU, Udon Thani, 41000, Thailand0000-0002-7264-4628View full profile → , Chalida SanemueangChalida.sa@udru.ac.thOffice of Academic Resources and Information Technology Udon Thani Rajabhat University, UDRU Udon Thani 41000 ThailandUdon Thani, 4100, ThailandView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 31 Oct 2020
- Accepted:
- 30 Apr 2021
- Published Online:
- 15 Nov 2021
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1353
- Pages:
- 215–229
Abstract
In the beginning of 2020, the new idea of public key cryptography was proposed. This method is from the combining between RSA and Chebyshev maps. It is very difficult to break this system because it is based on both of Integer Factorization Problem (IFP) and Chaotic maps Discrete Logarithm Problem (CMDL). However, Chebyshev polynomials taking many computation costs (many modular multiplications and modular subtraction operations) are the equation to find the result of Chebyshev maps. In this paper, the new improvement of public-key cryptography is proposed for point-to-point communication. The main key is to reduce time and increase the security level. In fact, time is reduced by replacing some Chebyshev maps with modular exponentiation equations using only modular multiplication processes. In addition, the security level can be increased, because it is based on three problems, IFP, CMDL and Discrete Logarithm Problem (DLP). Although, DLP is included in the proposed method, it does not affect the computation time in both of encryption and decryption sides, because DLP is selected to exchange the RSA's public key. The experimental results show that time can be reduced in both sides especially in decryption side. The reason is that the private key of the compared method must be assigned too large, it is larger than the traditional RSA's private key. On the other hand, the private key for the proposed method is similar to RSA's private key.
Keywords
Subject Classifications
94A6000A6968M25
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