Secure Identity-Based Blind Signature Scheme for Online Transactions
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Secure Identity‑Based Blind Signature Scheme for Online Transactions Lunzhi Deng1 · Xiuru He1 · Tian Xia1
© Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Today, more and more business activities are done through online transactions. How to protect the personal privacy of customers in online transactions has become an urgent issue. Blind signature (BS) is suitable for online transactions because it can hide the specific content of the signed message. The security proofs of most BS schemes are given in the random oracle model (ROM). As we all know, the cryptographic scheme that is proven to be secure in ROM may be insecure in practical applications. In this paper, we fist study the security requirements for identity-based BS (IBBS) scheme, then design a concrete IBBS scheme and show the security proofs in the standard model. Finally, we compare the proposed scheme with the other two BS schemes. Requiring only three pairing operations, the proposed scheme is much efficient and is suitable for online transactions. Keywords Identity based cryptography · Blind signature · Pairing · Standard model · Online transactions
1 Introduction In the past decade, online payment technology has developed rapidly. As long as the user has a computer with Internet access, he can complete the entire payment process in a short period of time without leaving the home. The payment cost is equivalent to only a few tenths or even a few hundredths of the traditional payment. Online payment breaks through the limitation of time and space, and more and more people choose to use online payment for various business activities. According to the 44th “Statistics Report on the Development of the Internet in China” issued by the China Internet Network Information Center (CNNIC), as of June 2019, the number of online payment users in China reached 633 million, accounting for 74.1% of the total Internet users. The number of users reached 621 million, an increase of 38.78 million compared with 2018, accounting for 73.4% of the total mobile Internet users, and 98.13% of the total online payment users.
* Lunzhi Deng [email protected] 1
School of Mathematical Sciences, Guizhou Normal University, Guiyang 550001, China
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In the daily purchase of goods, since the consumer pays cash to the merchant, it is difficult for the third party to track the transaction. In online transactions, the consumer completes the payment to the merchant through a third-party platform, so the third-party platform has all the information of the transaction (the customer’s identity information, the merchant’s identity information, the product information, etc.). If this information is stolen by a malicious adversary, it is easy for the adversary (or the third-party platform) to track down the transaction and grasp the customer’s purchase list. So it is an important issue to how to protect the personal privacy of customers in online transactions. In 1983, Chaum [1] presented the notion of blind signatur
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