Development of Public Key Cryptographic Algorithm Using Matrix Pattern for Tele-Ultrasound Applications

Seung-Hyeok Shin, Won-Sok Yoo and Hojong Choi
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Seung-Hyeok Shin: Department of Applied Mathematics, Kumoh National Institute of Technology, Gumi 39177, Korea
Won-Sok Yoo: Department of Applied Mathematics, Kumoh National Institute of Technology, Gumi 39177, Korea
Hojong Choi: Department of Medical IT Convergence Engineering, Kumoh National Institute of Technology, Gumi 39253, Korea

Mathematics, 2019, vol. 7, issue 8, 1-19

Abstract: A novel public key cryptographic algorithm using a matrix pattern is developed to improve encrypting strength. Compared to the Rivest–Sharmir–Adleman (RSA) and Elliptic Curve Cryptography (ECC) algorithms, our proposed algorithm has superior encrypting strength due to several unknown quantities and one additional sub-equation during the encrypting process. Our proposed algorithm also provides a faster encoding/decoding speed when the patient’s images for tele-ultrasound applications are transmitted/received, compared to the RSA and ECC encrypting algorithms, because it encodes/decodes the plain memory block by simple addition and multiplication operations of n terms. However, the RSA and ECC algorithms encode/decode each memory block using complex mathematical exponentiation and congruence. To implement encrypting algorithms for tele-ultrasound applications, a streaming server was constructed to transmit the images to the systems using ultrasound machines. Using the obtained ultrasound images from a breast phantom, we compared our developed algorithm, utilizing a matrix pattern, with the RSA and ECC algorithms. The elapsed average time for our proposed algorithm is much faster than that for the RSA and ECC algorithms.

Keywords: cryptographic algorithm; matrix pattern; tele-ultrasound (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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