Security Evaluation of Pairing-Based Cryptography via Large-Scale Cryptanalysis

2017 Fiscal Year Final Research Report

• Project/Area Number: 25280048
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Partial Multi-year Fund
• Section: 一般
• Research Field: Information security
• Research Institution: The University of Tokyo (2017); Kyushu University (2013-2016)
• Principal Investigator: Takagi Tsuyoshi 東京大学, 大学院情報理工学系研究科, 教授 (60404802)
• Co-Investigator(Kenkyū-buntansha): 安田 貴徳 岡山理科大学, 工学部, 准教授 (00464602)
• Project Period (FY): 2013-04-01 – 2018-03-31
• Keywords: 暗号・認証等 / 公開鍵暗号 / ペアリング暗号 / 離散対数問題 / 大規模計算

Outline of Final Research Achievements

Pairing-based cryptography provides us new cryptographic protocols, which cannot be constructed by the conventional public-key cryptosystems. In this research project, we investigated the hardness of solving the discrete logarithm problem (DLP) over extension fields which is used for the security estimation of pairing-based cryptography. In particular, we evaluated the secure parameters of elliptic curves used for the pairing-based cryptography by considering the extended TNFS which is the asymptotically fastest algorithm for solving the DLP over extension fields. Moreover, we proposed several pairing-based cryptographic protocols such as anonymous hierarchical IBE with continual-key-leakage tolerance, revocable identity-based signcryption scheme, and so on.

Free Research Field

情報セキュリティ