Error analysis and detection procedures for elliptic curve cryptography

• Main Authors: Naglaa F. Saudy, Ihab A. Ali, Reda Al Barkouky
• Format: Article
• Language: English
• Published: Elsevier 2019-09-01
• Series: Ain Shams Engineering Journal
• Online Access: http://www.sciencedirect.com/science/article/pii/S2090447919300279

In this paper, a fault detection scheme is introduced with the ability to perform with increased protection and reliability of the Elliptic Curve Cryptography (ECC) in realistic environments at a competitive price point. Fall of errors in encrypted/decrypted data delivery with the transmission can create the situation of erroneous data occurring. Without fault detection, in the context of encryption as well as decryption process can create the unprotected system due to random faults, and vulnerable to attack. We are striving to overcome these system weaknesses by introducing the application of nonlinear fault detection codes as it allows safeguarding the elliptic curve point while adding and doubling the operations from the fault attacks. The use of these codes ensures almost perfect error discovery capacity with a reasonably priced upfront cost. The ECC cryptosystem offered a failsafe fault detection scheme using an error detecting code with a proven rate of 99% fault detection coverage. Keywords: Elliptic Curve Cryptography, Fault attack, Fault detection