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references.bib
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references.bib
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@InProceedings{AF04,
author="Abe, Masayuki
and Fehr, Serge",
title={{Adaptively Secure Feldman VSS and Applications to Universally-Composable Threshold Cryptography}},
booktitle="CRYPTO'04",
}
@InProceedings{BBF19,
author="Boneh, Dan
and B{\"u}nz, Benedikt
and Fisch, Ben",
title={{Batching Techniques for Accumulators with Applications to IOPs and Stateless Blockchains}},
booktitle="CRYPTO'19",
}
@INPROCEEDINGS{Blakley1979,
author = {G. R. Blakley},
booktitle = {International Workshop on Managing Requirements Knowledge (AFIPS)},
title = {Safeguarding cryptographic keys},
year = {1979},
url = {doi.ieeecomputersociety.org/10.1109/AFIPS.1979.98},
}
@inproceedings{Boldyreva2003Threshold,
author = {Boldyreva, Alexandra},
booktitle = {PKC'03},
title = {{Threshold Signatures, Multisignatures and Blind Signatures Based on the Gap-Diffie-Hellman-Group Signature Scheme}},
}
@article{BonehBoyen2008,
author = {Boneh, Dan and Boyen, Xavier},
journal = {Journal of Cryptology},
number = {2},
pages = {149--177},
title = {{Short signatures without random oracles and the SDH assumption in bilinear groups}},
volume = {21},
year = {2008}
}
@InProceedings{Canetti1999Adaptive,
author="Canetti, Ran
and Gennaro, Rosario
and Jarecki, Stanis{\l}aw
and Krawczyk, Hugo
and Rabin, Tal",
title={{Adaptive Security for Threshold Cryptosystems}},
booktitle="CRYPTO'99",
}
@book{CLRS09,
author = {Cormen, Thomas H. and Leiserson, Charles E. and Rivest, Ronald L. and Stein, Clifford},
title = {{Introduction to Algorithms}},
year = {2009},
edition = {3rd},
publisher = {The MIT Press},
}
@techreport{CS97,
author = {Jan Camenisch and Markus Stadler},
institution = {ETH Zurich},
title = {{Proof Systems for General Statements about Discrete Logarithms}},
year = {1997}
}
Threshold signatures and encryption schemes are conceptualized
@InProceedings{Desmedt1987Society,
author="Desmedt, Yvo",
title={{Society and Group Oriented Cryptography: A New Concept}},
booktitle="CRYPTO'87",
}
ElGamal threshold encryption and hint at threshold signature scheme in the conclusion
@InProceedings{DesmedtFrankel1990Threshold,
author="Desmedt, Yvo
and Frankel, Yair",
title={{Threshold cryptosystems}},
booktitle="CRYPTO'89",
}
@InProceedings{DesmedtFrankel1992SharedGeneration,
author="Desmedt, Yvo
and Frankel, Yair",
title={{Shared generation of authenticators and signatures}},
booktitle="CRYPTO'91",
}
@ARTICLE{ElGamal1985APublicKey,
author={Taher {Elgamal}},
journal={IEEE Transactions on Information Theory},
title={A public key cryptosystem and a signature scheme based on discrete logarithms},
year={1985},
volume={31},
number={4},
month={July},}
@inproceedings{Feldman1987Practical,
author = {Feldman, Paul},
title = {{A Practical Scheme for Non-interactive Verifiable Secret Sharing}},
booktitle = {IEEE FOCS'87},
}
@inproceedings{FMY99,
author = {Frankel, Yair
and MacKenzie, Philip
and Yung, Moti},
booktitle = {Algorithms - ESA'99},
title = {{Adaptively-Secure Distributed Public-Key Systems}},
}
@InProceedings{Gennaro1996Robust,
author="Gennaro, Rosario
and Jarecki, Stanis{\l}aw
and Krawczyk, Hugo
and Rabin, Tal",
title={{Robust Threshold DSS Signatures}},
booktitle="EUROCRYPT'96",
}
@InProceedings{Gennaro2003SecureApplications,
author="Gennaro, Rosario
and Jarecki, Stanislaw
and Krawczyk, Hugo
and Rabin, Tal",
title={{Secure Applications of Pedersen's Distributed Key Generation Protocol}},
booktitle="CT-RSA'03",
}
@InProceedings{GennaroGoldfederNarayanan2016ThresholdOptimal,
author="Gennaro, Rosario
and Goldfeder, Steven
and Narayanan, Arvind",
title={{Threshold-Optimal DSA/ECDSA Signatures and an Application to Bitcoin Wallet Security}},
booktitle="ACNS'16",
}
Earliest threshold ElGamal signature I can find.
@ARTICLE{Harn1994GroupOriented,
author={L. {Harn}},
journal={IEE Proceedings - Computers and Digital Techniques},
title={{Group-oriented (t, n) threshold digital signature scheme and digital multisignature}},
year={1994},
volume={141},
number={5},
month={Sep.},}
@inproceedings{Herzberg1995ProactiveSecret,
author="Herzberg, Amir
and Jarecki, Stanis{\l}aw
and Krawczyk, Hugo
and Yung, Moti",
title={{Proactive Secret Sharing Or: How to Cope With Perpetual Leakage}},
booktitle="CRYPT0'95",
}
@inproceedings{Herzberg1997ProactivePublic,
author = {Herzberg, Amir and Jakobsson, Markus and Jarecki, Stanis{\l}aw and Krawczyk, Hugo and Yung, Moti},
title = {{Proactive Public Key and Signature Systems}},
booktitle = {ACM CCS'97},
}
@MISC{Park96NewElGamal,
author = {Choonsik Park and Kaoru Kurosawa},
title = {{New ElGamal Type Threshold Digital Signature Scheme}},
year = {1996}
}
First DKG paper, according to Pedersen's 1991 Non-interactive paper
@InProceedings{Ingemarsson1991,
author="Ingemarsson, Ingemar and Simmons, Gustavus J.",
title={{A Protocol to Set Up Shared Secret Schemes Without the Assistance of a Mutually Trusted Party}},
booktitle="EUROCRYPT'90",
}
@InProceedings{JL00,
author="Jarecki, Stanis{\l}aw
and Lysyanskaya, Anna",
title={{Adaptively Secure Threshold Cryptography: Introducing Concurrency, Removing Erasures}},
booktitle="EUROCRYPT'00",
}
@phdthesis{Kate2010Distributed,
title={{Distributed Key Generation and Its Applications}},
author={Kate, Aniket},
year={2010},
publisher={University of Waterloo},
advisor = {Ian Goldberg},
address = {Waterloo, Ontario, Canada},
}
@INPROCEEDINGS{KateGoldberg2009Distributed,
author={A. {Kate} and I. {Goldberg}},
booktitle={IEEE ICDCS'09},
title={{Distributed Key Generation for the Internet}},
}
This paper looks at using Pedersen commitments for VSS (see Sec 4) and (I think) Feldman commitments for DKG (see Sec 5.2 and last sentence in Conclusion, Sec 6)
@inproceedings{Pedersen1991Noninteractive,
author="Pedersen, Torben Pryds",
title={{Non-Interactive and Information-Theoretic Secure Verifiable Secret Sharing}},
booktitle="CRYPTO'91",
}
This paper looks at using (I think) Feldman commitments for DKG
@inproceedings{Pedersen1991AThreshold,
author = {Pedersen, Torben Pryds},
booktitle = {EUROCRYPT'91},
title = {{A Threshold Cryptosystem without a Trusted Party}},
}
@misc{Schindler2018EthDkgGithub,
author={{Philipp Schindler}},
title={{Ethereum-based Distributed Key Generation Protocol}},
howpublished={\url{https://github.com/PhilippSchindler/ethdkg}},
note={{Accessed: 2019-05-07}},
}
@InProceedings{Schoenmakers1999ASimple,
author="Schoenmakers, Berry",
title={{A Simple Publicly Verifiable Secret Sharing Scheme and Its Application to Electronic Voting}},
booktitle="CRYPTO'99",
}
@inproceedings{Shoup2000Practical,
author = {Shoup, Victor},
title = {{Practical Threshold Signatures}},
booktitle = {EUROCRYPT'00},
}
@InProceedings{Stadler1996Publicly,
author="Stadler, Markus",
title={{Publicly Verifiable Secret Sharing}},
booktitle="EUROCRYPT'96",
}
@inproceedings{algorand,
author = {Gilad, Yossi and Hemo, Rotem and Micali, Silvio and Vlachos, Georgios and Zeldovich, Nickolai},
title = {{Algorand: Scaling Byzantine Agreements for Cryptocurrencies}},
booktitle = {ACM SOSP'17},
}
@misc{bls-chia-impl,
author = {{Chia Network}},
title = {{BLS signatures in C++ using the RELIC toolkit}},
howpublished = {\url{https://github.com/Chia-Network/bls-signatures}},
note={{Accessed: 2019-05-06}},
}
@misc{bls-dfinity-impl,
author={{DFINITY}},
title={{go-dfinity-crypto}},
howpublished = {\url{https://github.com/dfinity/go-dfinity-crypto}},
note={{Accessed: 2019-05-06}},
}
@misc{bls-herumi-impl,
author={{Mitsunari Shigeo}},
title={{BLS threshold signature}},
howpublished = {\url{https://github.com/herumi/bls/}},
note={{Accessed: 2019-05-06}},
}
@misc{bls-sbft-impl,
author = {{VMware}},
title = {{threshsign library}},
howpublished = {\url{https://github.com/vmware/concord-bft/tree/master/threshsign}},
note={{Accessed: 2019-05-06}},
}
@misc{calypso,
author = {Eleftherios Kokoris-Kogias and Enis Ceyhun Alp and Sandra Deepthy Siby and Nicolas Gailly and Linus Gasser and Philipp Jovanovic and Ewa Syta and Bryan Ford},
title = {{Verifiable Management of Private Data under Byzantine Failures}},
howpublished = {Cryptology ePrint Archive, Report 2018/209},
year = {2018},
note = {\url{https://eprint.iacr.org/2018/209}},
}
@INPROCEEDINGS{catena,
author={Alin Tomescu and Srinivas Devadas},
booktitle={IEEE S\&P'17},
title={{Catena: Efficient Non-equivocation via Bitcoin}},
}
@Article{constantinople,
author="Cachin, Christian
and Kursawe, Klaus
and Shoup, Victor",
title={{Random Oracles in Constantinople: Practical Asynchronous Byzantine Agreement Using Cryptography}},
journal="Journal of Cryptology",
year="2005",
month="Jul",
day="01",
volume="18",
number="3",
}
@inproceedings{cosi,
author={E. Syta and I. Tamas and D. Visher and D. I. Wolinsky and P. Jovanovic and L. Gasser and N. Gailly and I. Khoffi and B. Ford},
booktitle={IEEE S\&P'16},
title={{Keeping Authorities ``Honest or Bust'' with Decentralized Witness Cosigning}},
}
@article{dfinity,
author = {Timo Hanke and
Mahnush Movahedi and
Dominic Williams},
title = {{DFINITY Technology Overview Series, Consensus System}},
journal = {CoRR},
volume = {abs/1805.04548},
year = {2018},
url = {http://arxiv.org/abs/1805.04548},
archivePrefix = {arXiv},
eprint = {1805.04548},
timestamp = {Mon, 13 Aug 2018 16:46:05 +0200},
}
@misc{dfinity-dkg,
author = {{DFINITY}},
title = {{Distributed Key Generation in JS}},
howpublished = {\url{https://github.com/dfinity/dkg}},
note = {{Accessed: 2019-05-07}},
}
@article{dkg,
author = {Gennaro, Rosario and Jarecki, Stanislaw and Krawczyk, Hugo and Rabin, Tal},
journal = {Journal of Cryptology},
number = {1},
title = {{Secure Distributed Key Generation for Discrete-Log Based Cryptosystems}},
volume = {20},
year = {2007}
}
@inproceedings{dkg-polylog,
author = {Canny, John and Sorkin, Stephen},
booktitle = {EUROCRYPT'04},
title = {{Practical large-scale distributed key generation}},
}
@misc{dkgpg,
author = {{Heiko Stamer}},
title = {{Distributed Privacy Guard}},
howpublished = {\url{https://www.nongnu.org/dkgpg/}},
note = {{Accessed: 2019-05-07}},
}
@misc{edrax,
author = {Alexander Chepurnoy and Charalampos Papamanthou and Yupeng Zhang},
title = {{Edrax: A Cryptocurrency with Stateless Transaction Validation}},
howpublished = {Cryptology ePrint Archive, Report 2018/968},
year = {2018},
note = {\url{https://eprint.iacr.org/2018/968}},
}
@misc{gnosis-dkg,
author = {{GNOSIS}},
title = {{Distributed Key Generation}},
howpublished = {\url{https://github.com/gnosis/dkg}},
note = {{Accessed: 2019-05-07}},
}
@article{how-to-share-a-secret,
author = {Shamir, Adi},
title = {{How to Share a Secret}},
journal = {Commun. ACM},
issue_date = {Nov. 1979},
volume = {22},
number = {11},
month = nov,
year = {1979},
}
@misc{orbs-dkg-github,
title={{Orbs Network: DKG for BLS threshold signature scheme on the EVM using Solidity}},
year={2018},
howpublished={\url{https://github.com/orbs-network/dkg-on-evm}},
note={{Accessed: 2019-02-15}},
}
@InProceedings{ouroboros,
author="Kiayias, Aggelos
and Russell, Alexander
and David, Bernardo
and Oliynykov, Roman",
title={{Ouroboros: A Provably Secure Proof-of-Stake Blockchain Protocol}},
booktitle="CRYPTO'17",
}
@inproceedings{ouroboros-genesis,
author = {Badertscher, Christian and Ga\v{z}i, Peter and Kiayias, Aggelos and Russell, Alexander and Zikas, Vassilis},
title = {{Ouroboros Genesis: Composable Proof-of-Stake Blockchains with Dynamic Availability}},
booktitle = {ACM CCS'18},
}
@InProceedings{ouroboros-praos,
author="David, Bernardo
and Ga{\v{z}}i, Peter
and Kiayias, Aggelos
and Russell, Alexander",
title={{Ouroboros Praos: An Adaptively-Secure, Semi-synchronous Proof-of-Stake Blockchain}},
booktitle="EUROCRYPT'18",
}
@inproceedings{randherd,
author = {Syta, Ewa and Jovanovic, Philipp and Kogias, Eleftherios Kokoris and Gailly, Nicolas and Gasser, Linus and Khoffi, Ismail and Fischer, Michael J. and Ford, Bryan},
booktitle = {IEEE S\&P'17},
title = {{Scalable Bias-Resistant Distributed Randomness}},
}
@article{rsa,
author = {Rivest, R. L. and Shamir, A. and Adleman, L.},
title = {{A Method for Obtaining Digital Signatures and Public-key Cryptosystems}},
journal = {Commun. ACM},
issue_date = {Feb. 1978},
volume = {21},
number = {2},
month = feb,
year = {1978},
}
@inproceedings{sbft,
author={G. {Golan Gueta} and I. {Abraham} and S. {Grossman} and D. {Malkhi} and B. {Pinkas} and M. {Reiter} and D. {Seredinschi} and O. {Tamir} and A. {Tomescu}},
booktitle={DSN'19},
title={{SBFT: A Scalable and Decentralized Trust Infrastructure}},
}
@InProceedings{Schnorr89,
author="Schnorr, C. P.",
title={{Efficient Identification and Signatures for Smart Cards}},
booktitle="CRYPTO'89",
}
@InProceedings{scrape,
author="Cascudo, Ignacio
and David, Bernardo",
title={{SCRAPE: Scalable Randomness Attested by Public Entities}},
booktitle="ACNS'17",
}
@inproceedings{threshold-schnorr,
author = {Stinson, Douglas R. and Strobl, Reto},
title = {{Provably Secure Distributed Schnorr Signatures and a (t, n) Threshold Scheme for Implicit Certificates}},
booktitle = {ACISP'01},
}
@InProceedings{vc,
author="Catalano, Dario
and Fiore, Dario",
title={{Vector Commitments and Their Applications}},
booktitle="PKC'13",
}
@misc{libff,
author = {{SCIPR Lab}},
title = {libff},
howpublished = {\url{https://github.com/scipr-lab/libff}},
year = {2016},
note = {{Accessed: 2018-07-28}},
}
@misc{libfqfft,
author = {{SCIPR Lab}},
title = {libfqfft},
howpublished = {\url{https://github.com/scipr-lab/libfqfft}},
year = {2016},
note = {{Accessed: 2018-07-28}},
}
@InProceedings{bn-curve,
author="Barreto, Paulo S. L. M.
and Naehrig, Michael",
title={{Pairing-Friendly Elliptic Curves of Prime Order}},
booktitle="Selected Areas in Cryptography",
year="2006",
}
@inproceedings{mov-attack,
author = {Menezes, Alfred and Vanstone, Scott and Okamoto, Tatsuaki},
title = {{Reducing Elliptic Curve Logarithms to Logarithms in a Finite Field}},
booktitle = {ACM STOC'91},
}
@inproceedings{bls,
author="Boneh, Dan
and Lynn, Ben
and Shacham, Hovav",
title={{Short Signatures from the Weil Pairing}},
booktitle="ASIACRYPT'01",
}
@inproceedings{polycommit,
author="Kate, Aniket
and Zaverucha, Gregory M.
and Goldberg, Ian",
title={{Constant-Size Commitments to Polynomials and Their Applications}},
booktitle="ASIACRYPT'10",
}
@inproceedings{qsbdh,
author="Goyal, Vipul",
title={{Reducing Trust in the PKG in Identity Based Cryptosystems}},
booktitle="CRYPTO'07",
}
@misc{bitcoin,
author={Nakamoto, Satoshi},
title={{Bitcoin: A Peer-to-Peer Electronic Cash System}},
howpublished={\url{https://bitcoin.org/bitcoin.pdf}},
year={2008},
note = {{Accessed: 2017-03-08}},
}
@misc{ethereum,
author = {Gavin Wood},
title = {{Ethereum: A Secure Decentralised Generalised Transaction Ledger}},
howpublished = {\url{http://gavwood.com/paper.pdf}},
note = {{Accessed: 2016-05-15}},
}
@misc{zcash,
author = {Hopwood, Daira and Bowe, Sean and Hornby, Taylor and Wilcox, Nathan},
title = {{Zcash Protocol Specification}},
howpublished = {\url{https://github.com/zcash/zips/blob/master/protocol/protocol.pdf}},
note = {{Accessed: 2017-11-17}},
}
@InProceedings{zcash-mpc1,
author="Bowe, Sean
and Gabizon, Ariel
and Green, Matthew D.",
title={{A Multi-party Protocol for Constructing the Public Parameters of the Pinocchio zk-SNARK}},
booktitle="FC'18",
year="2018",
}
@misc{zcash-mpc2,
author = {Sean Bowe and Ariel Gabizon and Ian Miers},
title = {{Scalable Multi-party Computation for zk-SNARK Parameters in the Random Beacon Model}},
howpublished = {Cryptology ePrint Archive, Report 2017/1050},
year = {2017},
note = {\url{https://eprint.iacr.org/2017/1050}},
}
% moderncomputeralgebra-ch8 talks about FFT in finite field (roots of unity to coefficients)
@incollection{moderncomputeralgebra-ch8,
author = {von zur Gathen, Joachim and Gerhard, Jurgen},
booktitle = {{Modern Computer Algebra}},
chapter = {8},
edition = {3rd},
publisher = {Cambridge University Press},
title = {{Fast Multiplication}},
year = {2013}
}
% moderncomputeralgebra-ch9 talks about fast division via Newton iteration
@incollection{moderncomputeralgebra-ch9,
author = {von zur Gathen, Joachim and Gerhard, Jurgen},
booktitle = {{Modern Computer Algebra}},
chapter = {9},
edition = {3rd},
publisher = {Cambridge University Press},
title = {{Newton iteration}},
year = {2013}
}
% moderncomputeralgebra-ch10 talks about evaluation and interpolation using FFT at arbitrary points: x_i, f(x_i)
@incollection{moderncomputeralgebra-ch10,
author = {von zur Gathen, Joachim and Gerhard, Jurgen},
booktitle = {{Modern Computer Algebra}},
chapter = {10},
edition = {3rd},
publisher = {Cambridge University Press},
title = {{Fast polynomial evaluation and interpolation}},
year = {2013}
}
% moderncomputeralgebra-ch11 talks about fast Euclidean Algorithm (Theorem 11.10)
@incollection{moderncomputeralgebra-ch11,
author = {von zur Gathen, Joachim and Gerhard, Jurgen},
booktitle = {{Modern Computer Algebra}},
chapter = {11},
edition = {3rd},
publisher = {Cambridge University Press},
title = {{Fast Euclidean Algorithm}},
year = {2013}
}
@book{design-and-analysis-of-computer-algorithms,
author = {Aho, Alfred V and Ullman, Jeffrey D},
edition = {1st},
publisher = {Addison-Wesley Longman Publishing},
title = {{The Design and Analysis of Computer Algorithms}},
year = {1974},
}
@article{preparata-fft-ff,
author = {Preparata, Franco P. and Sarwate, Dilip V.},
journal = {Mathematics of Computation},
number = {139},
publisher = {American Mathematical Society},
title = {{Computational Fourier Transforms Complexity of Over Finite Fields}},
volume = {31},
year = {1977}
}
@inproceedings{groth10,
author = {Jens Groth},
title = {{Short Pairing-Based Non-interactive Zero-Knowledge Arguments}},
booktitle = {ASIACRYPT'10},
}
@misc{bitreversal-wiki,
author = "{Wikipedia contributors}",
title = {{Bit-reversal permutation --- {Wikipedia}{,} The Free Encyclopedia}},
year = "2019",
url = "https://en.wikipedia.org/w/index.php?title=Bit-reversal_permutation&oldid=883335942",
note = {{Accessed: 2019-07-24}},
}
@Article{BDL+12,
author="Bernstein, Daniel J.
and Duif, Niels
and Lange, Tanja
and Schwabe, Peter
and Yang, Bo-Yin",
title="High-speed high-security signatures",
journal="Journal of Cryptographic Engineering",
year="2012",
month="Sep",
day="01",
volume="2",
number="2",
}
@article{BT04,
author = {Berrut, J. and Trefethen, L.},
title = {{Barycentric Lagrange Interpolation}},
journal = {SIAM Review},
volume = {46},
number = {3},
year = {2004},
}
@inproceedings{BTA+19,
author = {Basu, Soumya and Tomescu, Alin and Abraham, Ittai and Malkhi, Dahlia and Reiter, Michael K. and Sirer, Emin G\"{u}n},
booktitle = {ACM CCS'19},
title = {{Efficient Verifiable Secret Sharing with Share Recovery in BFT Protocols}},
}
@INPROCEEDINGS{CGMA85,
author={B. {Chor} and S. {Goldwasser} and S. {Micali} and B. {Awerbuch}},
booktitle={IEEE FOCS'85},
title={{Verifiable Secret Sharing and Achieving Simultaneity in the Presence of Faults}},
}
@inproceedings{GRR98p,
author = {Gennaro, Rosario and Rabin, Michael O. and Rabin, Tal},
title = {{Simplified VSS and Fast-track Multiparty Computations with Applications to Threshold Cryptography}},
booktitle = {ACM PODC'98},
}
@techreport{KZG10b,
title={Polynomial commitments},
author={Kate, Aniket and Zaverucha, Gregory M and Goldberg, Ian},
year={2010},
url={https://pdfs.semanticscholar.org/31eb/add7a0109a584cfbf94b3afaa3c117c78c91.pdf}
}
@InProceedings{LM07,
author="Law, Laurie
and Matt, Brian J.",
editor="Galbraith, Steven D.",
title={{Finding Invalid Signatures in Pairing-Based Batches}},
booktitle="Cryptography and Coding",
year="2007",
}
@article{NBB16,
author = {Neji, Wafa and Blibech, Kaouther and Ben Rajeb, Narjes},
title = {Distributed key generation protocol with a new complaint management strategy},
journal = {SCN'16},
}
@misc{SJSW19,
author = {Philipp Schindler and Aljosha Judmayer and Nicholas Stifter and Edgar Weippl},
title = {{ETHDKG: Distributed Key Generation with Ethereum Smart Contracts}},
howpublished = {Cryptology ePrint Archive, Report 2019/985},
year = {2019},
note = {\url{https://eprint.iacr.org/2019/985}},
}