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thesis/these.bib
Fabrice Mouhartem 46d2f9399f Katz & Lindell
2018-02-07 14:14:03 +01:00

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@InCollection{BCKL08,
author = {Belenkiy, Mira and Chase, Melissa and Kohlweiss, Markulf and Lysyanskaya, Anna},
title = {P-signatures and Noninteractive Anonymous Credentials},
booktitle = {{TCC 2008}},
publisher = {Springer},
year = {2008},
number = {4948},
series = {LNCS},
timestamp = {2015.09.26},
}
@InCollection{CL04,
author = {Camenisch, Jan and Lysyanskaya, Anna},
title = {Signature Schemes and Anonymous Credentials from Bilinear Maps},
booktitle = {{CRYPTO} 2004},
publisher = {Springer},
year = {2004},
number = {3152},
series = {LNCS},
pages = {56--72},
timestamp = {2015.09.26},
}
@InCollection{CL02,
author = {Camenisch, Jan and Lysyanskaya, Anna},
title = {A Signature Scheme with Efficient Protocols},
booktitle = {{SCN} 2002},
publisher = {Springer},
year = {2002},
number = {2576},
series = {LNCS},
pages = {268--289},
timestamp = {2015.09.26},
}
@InCollection{CS97,
author = {Camenisch, Jan and Stadler, Markus},
title = {Efficient group signature schemes for large groups},
booktitle = {{Crypto} 1997},
publisher = {Springer},
year = {1997},
}
@InProceedings{CS99,
author = {Cramer, R. and Shoup, V.},
title = {Signature Schemes Based On the Strong RSA Assumption},
booktitle = {{ACM-CCS} 1999},
year = {1999},
publisher = {ACM},
timestamp = {2016.02.02},
}
@InProceedings{FO97,
author = {Fujisaki, E. and Okamoto, T.},
title = {Statistical Zero Knowledge Protocols to Prove Modular Polynomial Relations},
booktitle = {{Crypto} 1997},
year = {1997},
volume = {1294},
series = {LNCS},
publisher = {Springer},
timestamp = {2016.02.02},
}
@Misc{Inu12,
author = {Inutile, Club},
title = {The Password Security Checker},
howpublished = {Website, available at {\url{http://inutile.club/estatis/password-security-checker/}}},
year = {2012},
}
@InCollection{LNW15,
author = {Ling, San and Nguyen, Khoa and Wang, Huaxiong},
title = {Group Signatures from Lattices: Simpler, Tighter, Shorter, Ring-Based},
booktitle = {{PKC} 2015},
publisher = {Springer},
year = {2015},
volume = {9020},
series = {LNCS},
pages = {427--449},
url = {http://dx.doi.org/10.1007/978-3-662-46447-2_19},
}
@InProceedings{Lyu12,
author = {Lyubashevsky, V.},
title = {Lattice Signatures Without Trapdoors},
booktitle = {{Eurocrypt} 2012},
year = {2012},
volume = {7237},
series = {LNCS},
publisher = {Springer},
timestamp = {2016.02.01},
}
@InProceedings{PSTY13,
author = {Charalampos Papamanthou and Elaine Shi and Roberto Tamassia and Ke Yi},
title = {Streaming Authenticated Data Structures},
booktitle = {{EUROCRYPT} 2013},
year = {2013},
volume = {7881},
series = {LNCS},
pages = {353--370},
publisher = {Springer},
owner = {Benoit},
timestamp = {2016.02.03},
}
@Misc{Pei15,
author = {Peikert, Chris},
title = {A Decade of Lattice Cryptography},
howpublished = {Cryptology ePrint Archive: Report 2015/939},
month = sep,
year = {2015},
timestamp = {2015.10.06},
}
@InCollection{SSE+12,
author = {Sakai, Y. and Schuldt, J. and Emura, K. and Hanaoka, G. and Ohta, K.},
title = {On the Security of Dynamic Group Signatures: Preventing Signature Hijacking},
booktitle = {{PKC} 2012},
publisher = {Springer},
year = {2012},
volume = {7293},
series = {LNCS},
pages = {715--732},
timestamp = {2015.10.01},
}
@InProceedings{ACDN13,
author = {Abe, Masayuki and Camenisch, Jan and Dubovitskaya, Maria and Nishimaki, Ryo},
title = {Universally composable adaptive oblivious transfer (with access control) from standard assumptions},
booktitle = {ACM Workshop on Digital Identity Management},
year = {2013},
pages = {1--12},
doi = {10.1145/2517881.2517883},
}
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author = {William Aiello and Yuval Ishai and Omer Reingold},
title = {Priced oblivious transfer: How to sell digital goods},
booktitle = {Eurocrypt},
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pages = {119--135},
}
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author = {Alwen, Jo\"el and Krenn, Stephan and Pietrzak, Krzysztof and Wichs, Daniel},
title = {Learning with Rounding Revisited -- New Reduction, Properties and Applications},
booktitle = {{Crypto} 2013},
year = {2013},
volume = {8042},
series = {LNCS},
pages = {57--74},
organization = {Springer},
timestamp = {2016.01.12},
}
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author = {Man Ho Au and Qianhong Wu and Willy Susilo and Yi Mu},
title = {Compact E-Cash from Bounded Accumulator},
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number = {4377},
series = {LNCS},
pages = {178--195},
owner = {Benoit},
timestamp = {2015.10.05},
}
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author = {Banerjee, A.},
title = {New Constructions of Cryptographic Pseudo-Random Functions},
howpublished = {PhD thesis, Georgia Institute of Technology},
month = aug,
year = {2015},
timestamp = {2016.01.30},
}
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author = {Banerjee, A. and Brenner, H. and Leurent, G. and Peikert, C. and Rosen, A.},
title = {SPRING: Fast Pseudorandom Functions from Rounded Ring Products},
booktitle = {{FSE} 2014},
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series = {LNCS},
pages = {38--57},
timestamp = {2016.02.07},
}
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author = {Banerjee, Abhishek and Peikert, Chris},
title = {New and Improved Key-Homomorphic Pseudo-Random Functions},
booktitle = {{Crypto} 2014},
year = {2014},
volume = {8616},
series = {LNCS},
pages = {353--370},
organization = {Springer},
timestamp = {2016.01.12},
}
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author = {Banerjee, Abhishek and Peikert, Chris and Rosen, Alon},
title = {Pseudo-Random Functions and Lattices},
booktitle = {{Eurocrypt} 2012},
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volume = {7237},
series = {LNCS},
pages = {719--737},
organization = {Springer},
owner = {Benoit},
timestamp = {2016.01.12},
}
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@InProceedings{BCKL08a,
author = {Belenkiy, Mira and Chase, Melissa and Kohlweiss, Markulf and Lysyanskaya, Anna},
title = {P-signatures and Noninteractive Anonymous Credentials},
booktitle = {{TCC'08}},
year = {2008},
number = {4948},
series = {LNCS},
pages = {356--374},
publisher = {Springer},
timestamp = {2015.09.26},
}
@InProceedings{BCKL09,
author = {Belenkiy, Mira and Chase, Melissa and Kohlweiss, Markulf and Lysyanskaya, Anna},
title = {Compact E-Cash and Simulatable VRFs Revisited},
booktitle = {{Pairing} 2009},
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volume = {5671},
series = {LNCS},
pages = {114--131},
publisher = {Springer},
timestamp = {2016.01.14},
}
@InProceedings{BCG+14,
author = {Eli Ben-Sasson and Alessandro Chiesa and Christina Garman and Matthew Green and Ian Miers and Eran Tromer and Madars Virza},
title = {Zerocash: Decentralized Anonymous Payments from Bitcoin},
booktitle = {{IEEE Symposium on Security and Privacy} 2014},
year = {2014},
pages = {459--474},
owner = {Benoit},
timestamp = {2015.10.05},
}
@InProceedings{BGM+16,
author = {Bogdanov, Andrej and Guo, Siyao and Masny, Daniel and Richelson, Silas and Rosen, Alon},
title = {On the Hardness of Learning With Rounding over Small Modulus},
booktitle = {{TCC} 2016},
year = {2016},
volume = {9562},
series = {LNCS},
pages = {209--224},
timestamp = {2016.01.12},
}
@InProceedings{BGG+14,
author = {Boneh, D. and Gentry, C. and Gorbunov, S. and Halevi, S. and Nikolaenko, V. and Segev, G. and Vaikuntanathan, V. and Vinayagamurthy, D.},
title = {Fully Key-Homomorphic Encryption, Arithmetic Circuit ABE and Compact Garbled Circuits},
booktitle = {{Eurocrypt} 2014},
year = {2014},
}
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author = {Boneh, Dan and Lewi, Kevin and Montgomery, Hart and Raghunathan, Ananth},
title = {Key-Homomorphic PRFs and their Applications},
booktitle = {{Crypto} 2013},
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volume = {8042},
series = {LNCS},
pages = {410--428},
organization = {Springer},
timestamp = {2016.01.12},
}
@InProceedings{BDPMW16,
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title = {{FHE} Circuit Privacy Almost for Free},
booktitle = {{Crypto} 2016},
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pages = {62--89},
}
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author = {Brakerski, Z. and Vaikuntanathan, V.},
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owner = {Benoit},
timestamp = {2016.02.06},
}
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series = {LNCS},
pages = {234--252},
}
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author = {Camenisch, J. and Damg{\aa}rd, I.},
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timestamp = {2016.01.28},
}
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timestamp = {2016.03.02},
}
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title = {Oblivious transfer with access control},
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timestamp = {2016.03.02},
}
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author = {Camenisch, J. and Dubovitskaya, M. and Neven, G. and Zaverucha, G.},
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timestamp = {2016.03.02},
}
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author = {Camenisch, Jan and Lysyanskaya, Anna},
title = {A Signature Scheme with Efficient Protocols},
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series = {LNCS},
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timestamp = {2015.09.26},
}
@InProceedings{CL04a,
author = {Camenisch, Jan and Lysyanskaya, Anna},
title = {Signature Schemes and Anonymous Credentials from Bilinear Maps},
booktitle = {{Crypto} 2004},
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number = {3152},
series = {LNCS},
pages = {56--72},
timestamp = {2015.09.26},
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@InProceedings{CLM07,
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__markedentry = {[fmouhart:]},
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timestamp = {2015.10.03},
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publisher = {Springer},
owner = {Benoit},
timestamp = {2016.02.06},
}
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series = {LNCS},
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@Misc{NIS17,
author = {NIST},
title = {{NIST post-quantum competition. Round 1.}},
month = dec,
year = {2017},
note = {\url{https://csrc.nist.gov/Projects/Post-Quantum-Cryptography/Round-1-Submissions}},
}
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author = {Thomas Wunderer},
title = {Lattice Challenge},
year = {2010},
note = {\url{https://www.latticechallenge.org/index.php}},
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@InProceedings{HK17,
author = {Herold, Gottfried and Kirshanova, Elena},
title = {Improved Algorithms for the Approximate k-List Problem in Euclidean Norm},
booktitle = {Public-Key Cryptography -- PKC 2017},
year = {2017},
editor = {Fehr, Serge},
pages = {16--40},
address = {Berlin, Heidelberg},
publisher = {Springer Berlin Heidelberg},
abstract = {We present an algorithm for the approximate k-List problem for the Euclidean distance that improves upon the Bai-Laarhoven-Stehl{\'e} (BLS) algorithm from ANTS'16. The improvement stems from the observation that almost all the solutions to the approximate k-List problem form a particular configuration in n-dimensional space. Due to special properties of configurations, it is much easier to verify whether a k-tuple forms a configuration rather than checking whether it gives a solution to the k-List problem. Thus, phrasing the k-List problem as a problem of finding such configurations immediately gives a better algorithm. Furthermore, the search for configurations can be sped up using techniques from Locality-Sensitive Hashing (LSH). Stated in terms of configuration-search, our LSH-like algorithm offers a broader picture on previous LSH algorithms.},
isbn = {978-3-662-54365-8},
}
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author = {Aggarwal, Divesh and Dadush, Daniel and Regev, Oded and Stephens-Davidowitz, Noah},
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booktitle = {Proceedings of the Forty-seventh Annual ACM Symposium on Theory of Computing},
year = {2015},
series = {STOC '15},
pages = {733--742},
address = {New York, NY, USA},
publisher = {ACM},
acmid = {2746606},
doi = {10.1145/2746539.2746606},
isbn = {978-1-4503-3536-2},
keywords = {discrete Gaussian, lattices, shortest vector problem},
location = {Portland, Oregon, USA},
numpages = {10},
url = {http://doi.acm.org/10.1145/2746539.2746606},
}
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author = {Joux, Antoine},
title = {A One Round Protocol for Tripartite Diffie--Hellman},
booktitle = {Algorithmic Number Theory},
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editor = {Bosma, Wieb},
pages = {385--393},
address = {Berlin, Heidelberg},
publisher = {Springer Berlin Heidelberg},
abstract = {In this paper, we propose a three participants variation of the Diffie-Hellman protocol. This variation is based on the Weil and Tate pairings on elliptic curves, which were first used in cryptography as cryptanalytic tools for reducing the discrete logarithm problem on some elliptic curves to the discrete logarithm problem in a finite field.},
isbn = {978-3-540-44994-2},
}
@InProceedings{BF01,
author = {Boneh, Dan and Franklin, Matt},
title = {Identity-Based Encryption from the Weil Pairing},
booktitle = {Advances in Cryptology --- CRYPTO 2001},
year = {2001},
editor = {Kilian, Joe},
pages = {213--229},
address = {Berlin, Heidelberg},
publisher = {Springer Berlin Heidelberg},
abstract = {We propose a fully functional identity-based encryption scheme (IBE). The scheme has chosen ciphertext security in the random oracle model assuming an elliptic curve variant of the computational Diffie-Hellman problem. Our system is based on the Weil pairing. We give precise definitions for secure identity based encryption schemes and give several applications for such systems.},
isbn = {978-3-540-44647-7},
}
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author = {Waters, Brent},
title = {Efficient Identity-Based Encryption Without Random Oracles},
booktitle = {Advances in Cryptology -- EUROCRYPT 2005},
year = {2005},
editor = {Cramer, Ronald},
pages = {114--127},
address = {Berlin, Heidelberg},
publisher = {Springer Berlin Heidelberg},
abstract = {We present the first efficient Identity-Based Encryption (IBE) scheme that is fully secure without random oracles. We first present our IBE construction and reduce the security of our scheme to the decisional Bilinear Diffie-Hellman (BDH) problem. Additionally, we show that our techniques can be used to build a new signature scheme that is secure under the computational Diffie-Hellman assumption without random oracles.},
isbn = {978-3-540-32055-5},
}
@InProceedings{KSS08,
author = {Kachisa, Ezekiel J. and Schaefer, Edward F. and Scott, Michael},
title = {Constructing Brezing-Weng Pairing-Friendly Elliptic Curves Using Elements in the Cyclotomic Field},
booktitle = {Pairing-Based Cryptography -- Pairing 2008},
year = {2008},
editor = {Galbraith, Steven D. and Paterson, Kenneth G.},
pages = {126--135},
address = {Berlin, Heidelberg},
publisher = {Springer Berlin Heidelberg},
abstract = {We describe a new method for constructing Brezing-Weng-like pairing-friendly elliptic curves. The new construction uses the minimal polynomials of elements in a cyclotomic field. Using this new construction we present new ``record breaking'' families of pairing-friendly curves with embedding degrees of k{\thinspace}∈{\thinspace}{\{}16,18,36,40{\}}, and some interesting new constructions for the cases k{\thinspace}∈{\thinspace}{\{}8,32{\}}.},
isbn = {978-3-540-85538-5},
}
@InProceedings{BN06,
author = {Barreto, Paulo S. L. M. and Naehrig, Michael},
title = {Pairing-Friendly Elliptic Curves of Prime Order},
booktitle = {Selected Areas in Cryptography},
year = {2006},
editor = {Preneel, Bart and Tavares, Stafford},
pages = {319--331},
address = {Berlin, Heidelberg},
publisher = {Springer Berlin Heidelberg},
abstract = {Previously known techniques to construct pairing-friendly curves of prime or near-prime order are restricted to embedding degree {\$}k {\backslash}leqslant 6 {\$} . More general methods produce curves over {\$}{\{}{\backslash}mathbb F{\}}{\_}{\{}p{\}}{\$} where the bit length of p is often twice as large as that of the order r of the subgroup with embedding degree k; the best published results achieve $\rho$ ≡ log(p)/log(r) {\textasciitilde} 5/4. In this paper we make the first step towards surpassing these limitations by describing a method to construct elliptic curves of prime order and embedding degree k = 12. The new curves lead to very efficient implementation: non-pairing operations need no more than {\$}{\{}{\backslash}mathbb F{\}}{\_}{\{}p^4{\}}{\$} arithmetic, and pairing values can be compressed to one third of their length in a way compatible with point reduction techniques. We also discuss the role of large CM discriminants D to minimize $\rho$; in particular, for embedding degree k = 2q where q is prime we show that the ability to handle log(D)/log(r) {\textasciitilde} (q--3)/(q--1) enables building curves with $\rho$ {\textasciitilde} q/(q--1).},
isbn = {978-3-540-33109-4},
}
@Article{BD18,
author = {Barbulescu, Razvan and Duquesne, Sylvain},
title = {Updating Key Size Estimations for Pairings},
journal = {Journal of Cryptology},
year = {2018},
month = {Jan},
issn = {1432-1378},
abstract = {Recent progress on NFS imposed a new estimation of the security of pairings. In this work we study the best attacks against some of the most popular pairings and propose new key sizes using an analysis which is more precise than the analysis in a recent article of Menezes, Sarkar and Singh. We also select pairing-friendly curves for standard security levels.},
day = {29},
doi = {10.1007/s00145-018-9280-5},
url = {https://doi.org/10.1007/s00145-018-9280-5},
}
@InProceedings{KB16,
author = {Kim, Taechan and Barbulescu, Razvan},
title = {Extended Tower Number Field Sieve: A New Complexity for the Medium Prime Case},
booktitle = {Advances in Cryptology -- CRYPTO 2016},
year = {2016},
editor = {Robshaw, Matthew and Katz, Jonathan},
pages = {543--571},
address = {Berlin, Heidelberg},
publisher = {Springer Berlin Heidelberg},
abstract = {We introduce a new variant of the number field sieve algorithm for discrete logarithms in {\$}{\$}{\backslash}mathbb {\{}F{\}}{\_}{\{}p^n{\}}{\$}{\$} called exTNFS. The most important modification is done in the polynomial selection step, which determines the cost of the whole algorithm: if one knows how to select good polynomials to tackle discrete logarithms in {\$}{\$}{\backslash}mathbb {\{}F{\}}{\_}{\{}p^{\backslash}kappa {\}}{\$}{\$} , exTNFS allows to use this method when tackling {\$}{\$}{\backslash}mathbb {\{}F{\}}{\_}{\{}p^{\{}{\backslash}eta {\backslash}kappa {\}}{\}}{\$}{\$} whenever {\$}{\$}{\backslash}gcd ({\backslash}eta ,{\backslash}kappa )=1{\$}{\$} . This simple fact has consequences on the asymptotic complexity of NFS in the medium prime case, where the complexity is reduced from {\$}{\$}L{\_}Q(1/3,{\backslash}root 3 {\backslash}of {\{}96/9{\}}){\$}{\$} to {\$}{\$}L{\_}Q(1/3,{\backslash}root 3 {\backslash}of {\{}48/9{\}}){\$}{\$} , {\$}{\$}Q=p^n{\$}{\$} , respectively from {\$}{\$}L{\_}Q(1/3,2.15){\$}{\$} to {\$}{\$}L{\_}Q(1/3,1.71){\$}{\$} if multiple number fields are used. On the practical side, exTNFS can be used when {\$}{\$}n=6{\$}{\$} and {\$}{\$}n=12{\$}{\$} and this requires to updating the keysizes used for the associated pairing-based cryptosystems.},
isbn = {978-3-662-53018-4},
}
@Misc{BGdMM05,
author = {Lucas Ballard and Matthew Green and Breno de Medeiros and Fabian Monrose},
title = {Correlation-Resistant Storage via Keyword-Searchable Encryption},
howpublished = {Cryptology ePrint Archive, Report 2005/417},
year = {2005},
note = {\url{https://eprint.iacr.org/2005/417}},
}
@Article{KL11,
author = {Kidron, Dafna and Lindell, Yehuda},
title = {Impossibility Results for Universal Composability in<69>Public-Key Models and with Fixed Inputs},
journal = {Journal of Cryptology},
year = {2011},
volume = {24},
number = {3},
pages = {517--544},
month = {Jul},
issn = {1432-1378},
abstract = {Universal composability and concurrent general composition consider a setting where secure protocols are run concurrently with each other and with arbitrary other possibly insecure protocols. Protocols that meet the definition of universal composability are guaranteed to remain secure even when run in this strongly adversarial setting. In the case of an honest majority, or where there is a trusted setup phase of some kind (like a common reference string or the key-registration public-key infrastructure of Barak et al.<2E>in FOCS 2004), it has been shown that any functionality can be securely computed in a universally composable way. On the negative side, it has also been shown that in the plain model where there is no trusted setup at all, there are large classes of functionalities which cannot be securely computed in a universally composable way without an honest majority.},
day = {01},
doi = {10.1007/s00145-010-9069-7},
url = {https://doi.org/10.1007/s00145-010-9069-7},
}
@InProceedings{CKL03,
author = {Canetti, Ran and Kushilevitz, Eyal and Lindell, Yehuda},
title = {On the Limitations of Universally Composable Two-Party Computation without Set-up Assumptions},
booktitle = {Advances in Cryptology --- EUROCRYPT 2003},
year = {2003},
editor = {Biham, Eli},
pages = {68--86},
address = {Berlin, Heidelberg},
publisher = {Springer Berlin Heidelberg},
abstract = {The recently proposed universally composable (UC) security framework, for analyzing security of cryptographic protocols, provides very strong security guarantees. In particular, a protocol proven secure in this framework is guaranteed to maintain its security even when deployed in arbitrary multi-party, multi-protocol, multi-execution environments.},
isbn = {978-3-540-39200-2},
}
@Article{CKL06,
author = {Canetti, Ran and Kushilevitz, Eyal and Lindell, Yehuda},
title = {On the Limitations of Universally Composable Two-Party Computation Without Set-Up Assumptions},
journal = {Journal of Cryptology},
year = {2006},
volume = {19},
number = {2},
pages = {135--167},
month = {Apr},
issn = {1432-1378},
abstract = {The recently proposed universally composable security framework for analyzing security of cryptographicprotocols provides very strong security guarantees. In particular,a protocol proven secure in this framework is guaranteed tomaintain its security even when run concurrently with arbitraryother protocols. It has been shown that if a majority of the parties arehonest, then universally composableprotocols exist for essentially any cryptographic taskin the plain model (i.e., with no set-up assumptions beyond that ofauthenticated communication).When honest majority is not guaranteed, general feasibility results areknown only when given a trusted set-up, such as in the common reference stringmodel. Only little was known regarding the existence ofuniversally composable protocols in the plain model withouthonest majority, and in particular regarding theimportant special case of two-party protocols. We study thefeasibility of universally composable two-party functionevaluation in the plain model. Our results show that in thissetting, very few functions can be securely computed in theframework of universal composability. We demonstrate this byproviding broad impossibility results that apply to large classesof deterministic and probabilistic functions. For some of theseclasses, we also present full characterizations of what can andcannot be securely realized in the framework of universalcomposability. Specifically, our characterizations are for theclasses of deterministic functions in which (a) both partiesreceive the same output, (b) only one party receives output, and(c) only one party has input.},
day = {01},
doi = {10.1007/s00145-005-0419-9},
url = {https://doi.org/10.1007/s00145-005-0419-9},
}
@InProceedings{Yao86,
author = {Yao, Andrew Chi-Chih},
title = {How to generate and exchange secrets},
booktitle = {FOCS},
year = {1986},
}
@InProceedings{LP07,
author = {Lindell, Yehuda and Pinkas, Benny},
title = {An Efficient Protocol for Secure Two-Party Computation in the Presence of Malicious Adversaries},
booktitle = {Advances in Cryptology - EUROCRYPT 2007},
year = {2007},
editor = {Naor, Moni},
pages = {52--78},
address = {Berlin, Heidelberg},
publisher = {Springer Berlin Heidelberg},
abstract = {We show an efficient secure two-party protocol, based on Yao's construction, which provides security against malicious adversaries. Yao's original protocol is only secure in the presence of semi-honest adversaries. Security against malicious adversaries can be obtained by applying the compiler of Goldreich, Micali and Wigderson (the ``GMW compiler''). However, this approach does not seem to be very practical as it requires using generic zero-knowledge proofs.},
isbn = {978-3-540-72540-4},
}
@InProceedings{Coo71,
author = {Cook, Stephen A.},
title = {The Complexity of Theorem-proving Procedures},
booktitle = {Proceedings of the Third Annual ACM Symposium on Theory of Computing},
year = {1971},
series = {STOC '71},
pages = {151--158},
address = {New York, NY, USA},
publisher = {ACM},
acmid = {805047},
doi = {10.1145/800157.805047},
location = {Shaker Heights, Ohio, USA},
numpages = {8},
url = {http://doi.acm.org/10.1145/800157.805047},
}
@InProceedings{MSS17,
author = {Menezes, Alfred and Sarkar, Palash and Singh, Shashank},
title = {{Challenges with Assessing the Impact of NFS Advances on the Security of Pairing-Based Cryptography}},
booktitle = {Paradigms in Cryptology -- Mycrypt 2016. Malicious and Exploratory Cryptology},
year = {2017},
editor = {Phan, Rapha{\"e}l C.-W. and Yung, Moti},
pages = {83--108},
address = {Cham},
publisher = {Springer International Publishing},
abstract = {In the past two years there have been several advances in Number Field Sieve (NFS) algorithms for computing discrete logarithms in finite fields {\$}{\$}{\{}{\backslash}mathbb F{\}}{\_}{\{}p^n{\}}{\$}{\$} where p is prime and {\$}{\$}n > 1{\$}{\$} is a small integer. This article presents a concise overview of these algorithms and discusses some of the challenges with assessing their impact on keylengths for pairing-based cryptosystems.},
isbn = {978-3-319-61273-7},
}
@Article{Gil77,
author = {John Gill},
title = {Computational Complexity of Probabilistic Turing Machines},
journal = {SIAM Journal on Computing},
year = {1977},
volume = {6},
number = {4},
pages = {675-695},
doi = {10.1137/0206049},
eprint = {https://doi.org/10.1137/0206049},
url = {
https://doi.org/10.1137/0206049
},
}
@Misc{Rab60,
author = {Rabin, Michael Oser},
title = {Degree of difficulty of computing a function and a partial ordering of recursive sets},
howpublished = {Technical Report 2, {Hebrew University of Jerusalem}},
year = {1960},
publisher = {Hebrew University},
}
@Book{AB09,
title = {Computational Complexity: A Modern Approach},
publisher = {Cambridge University Press},
year = {2009},
author = {Arora, Sanjeev and Barak, Boaz},
address = {New York, NY, USA},
edition = {1st},
isbn = {0521424267, 9780521424264},
}
@Book{KL07,
title = {Introduction to Modern Cryptography (Chapman \& Hall/Crc Cryptography and Network Security Series)},
publisher = {Chapman \& Hall/CRC},
year = {2007},
author = {Katz, Jonathan and Lindell, Yehuda},
isbn = {1584885513},
}
@Comment{jabref-meta: databaseType:bibtex;}
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