閾值密碼學的研究與分類

Abstract

自區塊鏈問世以來，大眾對隱私的擔憂不斷提升。同時，密碼學的相關發展，如多方計算（MPC）、零知識證明和同態加密等，為閾值密碼學發展奠定了穩固基礎。本研究深入討論兩種主要類型的閾值ECDSA，並以演算法為例進行驗證。此外，根據回合數 、傳輸量以及計算量，對兩種算法進行全面性比較。另一方面，本研究進一步探討閾值加密技術的各種應用，包括TOPRF、TPPSS以及雲端計算中的各種應用。

Ever since the emergence of blockchain, the concerns to privacy have been rising among the public. Meanwhile, the advancements of cryptography, such as MPC (Multi Party Computation), zero-knowledge proof, and homomorphic encryption, etc., pave a consolidated foundation for the threshold cryptography development. In this study, two major types of threshold ECDSA were discussed in depth, and each of them was testified via an algorithm as an example. In addition, the two algorithms were also compared comprehensively based on the number of rounds, the amount of transmission, and the amount of calculation. Furthermore, various applications of threshold cryptography, including TOPRFs, TPPSS, and a variety of applications in cloud computing, were also explored in this study.