Blockchain Security Mechanism Design Based on Chinese Cryptosystem SM2 Algorithm

Lu Meng () and Zeyao Liu
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Lu Meng: College of Information Science and Engineering, Northeastern University, Shenyang 110819, China
Zeyao Liu: College of Information Science and Engineering, Northeastern University, Shenyang 110819, China

Mathematics, 2023, vol. 11, issue 14, 1-13

Abstract: The cryptographic system is the foundation of blockchain security mechanisms. This paper constructs a blockchain security mechanism based on the Chinese national cryptographic SM2 algorithm, involving the generation of public–private key pairs and the signing of block information using key pairs. However, the original SM2 algorithm has a high computational complexity, which cannot meet the requirements of low on-chain delay in blockchain applications. To solve this problem, this paper optimizes the SM2 digital signature algorithm. The scalar multiplication operation in the digital signature algorithm has a large computational complexity, which affects the efficiency of a digital signature. To reduce its computational complexity, this paper improves the traditional window non-adjacent form (w-NAF) algorithm for the scalar multiplication operation and proposes a low computational complexity Fw-NAF algorithm based on the prime number precomputation window, which greatly reduces its computational complexity.

Keywords: blockchain; SM2 algorithm; elliptic curve; prime number; window non-adjacent form (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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