A Unified Paradigm in Information Theoretic Cryptography and Its Applications

2017 Fiscal Year Final Research Report

• Project/Area Number: 15H02710
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Information security
• Research Institution: Yokohama National University
• Principal Investigator: SHIKATA Junji 横浜国立大学, 大学院環境情報研究院, 教授 (30345483)
• Co-Investigator(Kenkyū-buntansha): 松本 勉 横浜国立大学, 大学院環境情報研究院, 教授 (40183107) ; 岩本 貢 電気通信大学, 大学院情報理工学研究科, 准教授 (50377016) ; 太田 和夫 電気通信大学, 大学院情報理工学研究科, 教授 (80333491)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: 暗号理論 / 情報理論 / 情報理論的安全性 / 暗号 / 鍵共有 / 認証

Outline of Final Research Achievements

In this research project, we studied a unified paradigm in information theoretic cryptography which can deal with various security notions in cryptography and information theory from systematic and bird’s-eye viewpoints. By overlooking security notions of computational security and information-theoretic security from various aspects, we showed new formalizations of security, construction of cryptographic systems, and their relationships. In particular, we formalized various security notions of encryption and key agreement which have meaningful operations, and showed relationships among security formalizations including the existing ones. We also showed (im)possibility of information theoretic security for encryption, authentication and secret sharing only from biased randomness. Furthermore, as applications of this paradigm, we showed new security formalizations and/or new construction methodology for advanced cryptographic systems.

Free Research Field

暗号理論