FULLY DISTRIBUTED PROACTIVELY SECURE THRESHOLD MULTISIGNATURE SCHEME PDF

Abstract: The trend in trust decentralization together with the ever increasing value of digital assets cryptocurrencies, blockchains, mega data repositories, key mis management, intellectual property, privacy, etc. We need to see more targeted applications as well as software platforms on which to build solutions that take into account real-world considerations such as asynchronous networks, support for diversified architectures, hardware enclaves, and more. Additionally, we need to refresh the set of techniques supporting threshold cryptography with advances in areas such as multi-party computation, quantum-resistant primitives, and blockchain-inspired consensus protocols. In addition to arguing these points, the talk will discuss some recent applications of threshold cryptography in the domain of key and password management, blockchain, and how threshold cryptography can be relevant to the metoo movement.

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Abstract: The trend in trust decentralization together with the ever increasing value of digital assets cryptocurrencies, blockchains, mega data repositories, key mis management, intellectual property, privacy, etc. We need to see more targeted applications as well as software platforms on which to build solutions that take into account real-world considerations such as asynchronous networks, support for diversified architectures, hardware enclaves, and more. Additionally, we need to refresh the set of techniques supporting threshold cryptography with advances in areas such as multi-party computation, quantum-resistant primitives, and blockchain-inspired consensus protocols.

In addition to arguing these points, the talk will discuss some recent applications of threshold cryptography in the domain of key and password management, blockchain, and how threshold cryptography can be relevant to the metoo movement. Watson Research Center whose interests span theoretical and applied aspects of cryptography. His most recent work in this area includes designs for TLS 1. He has contributed to multiple areas of cryptography including to the theory and practice of key exchange, threshold and proactive cryptosystems, password authentication, and search on encrypted data.

Coins are controlled by spending policies expressed in Bitcoin Script, a simple stack-based programming language which supports hash preimage challenges and digital signatures. Included in Bitcoin Script is a basic form of threshold ECDSA signature: a list of public keys and a threshold is specified; the coins can then be moved if threshold-many valid ECDSA signatures are provided in sequence.

This threshold scheme is inefficient in terms of both signature size and verification time both linear in the threshold size , which are the two most important considerations for cryptosystems designed for inclusion on blockchains.

Being explicitly specified, they also represent a fungibility loss as threshold-controlled coins are visibly distinct from non-threshold-controlled coins. However, they achieve several practical goals which have proved difficult to preserve in more efficient threshold schemes: they are noninteractive; they require no persistent state during signing; they work in the plain public-key model and require no interactive key setup; their security follows immediately from the security of the underlying ECDSA scheme even when signing counterparties are considered to be adversarial.

In this talk we describe our work in developing a multisignature scheme for Bitcoin, called MuSig, which supports an extension to threshold signatures, over the last several years. We describe how consideration of both practical use cases and formal security models guided the evolution of our goals, and the unexpected tradeoffs that we found ourselves forced to make.

Bio: Andrew Poelstra is a Mathematician at Blockstream. He has dabbled in software development for the last twenty years, in open-source cryptography for ten. He became involved in Bitcoin in late , and joined Blockstream cofounders Greg Maxwell and Pieter Wuille in developing the high-performance cryptography library libsecpk1.

His latest major project has been Mimble Wimble which is described as a blockchain design with no script support and blinded amounts. Like proverbial black holes, transaction outputs have no hair. This simplicity allows aggressive compaction and aggregation, resulting in a blockchain with much better scalability than any other design to date. While completing his Masters of Arts at the University of Texas at Austin, he wrote and co-wrote several papers about Bitcoin, practical cryptography and mathematics.

Organizer: Rosario Gennaro. Smart2,4, Younes Talibi Alaoui2.

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A Fully Distributed Proactively Secure Threshold-Multisignature Scheme [] IN distributed systems it is sometimes necessary for users to share the power to use a cryptosystem [1], [2]. The system secret is divided up into shares and securely stored by the entities forming the distributed cryptosystem. The main advantage of a distributed cryptosystem is that the secret is never computed, reconstructed, or stored in a single location, making the secret more difficult to compromise [3]. In many applications, a threshold t or more shareholders are required to cooperatively generate a digital signature, in contrast to the conventional single signer. This may also be seen as a distribution of trust since the shareholders must collaborate and contribute equally to produce a valid multiparty signature. The scheme consists of the following six parts Section 2. H collision-free one-way hash function,.

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