An Efficient ID-based Fair Off-line Electronic Cash Scheme without Bilinear Pairings

Due to the rapid development of mobile internet and intelligent terminal, the Scale of electronic commerce expands sharply. As an important means of payment, electronic cash has received extensive attention and application. In this paper, a new and efficient ID-based fair off-line electronic cash scheme is proposed. The scheme effectively constructs double-spending detection protocol by using signature of proof of knowledge and achieves coin tracing protocol and owner tracing protocol. The scheme is proved to be non-forgeable, anonymous, fair and effective. Because the scheme avoids using bilinear parings and Map-to-point hash functions, the scheme needs more less computing power as compared with other offline electronic cash schemes based on elliptic curve.