Cryptography is an essential part of the modern world, and secret sharing is an essential tool for secure communication. In this talk, we will cover threshold signature schemes and multi-party computing, which allow for secure communication without the need for a centralized system. We will cover the basics of elliptic curve cryptography and how it is used to create secure signatures, as well as the principles behind Shamir secret sharing and additive secret sharing. We will also discuss the conversion between the two methods and how they can be used to create a secure threshold signature scheme. Overall, this talk aims to provide attendees with a comprehensive overview of the key concepts behind threshold signature schemes and multi-party computing.
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