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@article{Ipsen:194405,
doi = {10.1111/j.1699-0463.1944.tb04945.x},
author = {Johannes Ipsen and Niels Kaj Jerne},
title = {{Graphical Evaluation of the Distribution of Small Experimental
Series}},
year = 1944,
month = may,
journal = {{Acta Pathologica Microbiologica Scandinavica}},
volume = 21,
number = 2,
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x-url = {https://doi.org/10.1111/j.1699-0463.1944.tb04945.x},
}
@article{Diffie:197611,
doi = {10.1109/TIT.1976.1055638},
author = {Whitfield Diffie and Martin E. Hellman},
title = {{New Directions in Cryptography}},
year = 1976,
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x-url = {https://doi.org/10.1109/TIT.1976.1055638},
pdf = {https://ee.stanford.edu/~hellman/publications/24.pdf},
}
@article{Rivest:197802,
doi = {10.1145/359340.359342},
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title = {{A Method for Obtaining Digital Signatures and Public-key
Cryptosystems}},
year = 1978,
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x-url = {https://doi.org/10.1145/359340.359342},
pdf = {https://people.csail.mit.edu/rivest/pubs/RSA78.pdf},
}
@inproceedings{Patarin:199605,
doi = {10.1007/3-540-68339-9_4},
author = {Jacques Patarin},
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Two New Families of Asymmetric Algorithms}},
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x-url = {https://doi.org/10.1007/3-540-68339-9_4},
pdf = {http://minrank.org/hfe.pdf},
}
@misc{Patarin:199709,
author = {Jacques Patarin},
title = {{The Oil and Vinegar Algorithm for Signatures}},
year = 1997,
month = sep,
howpublished = {Dagstuhl Seminar 9739},
x-url = {https://www.dagstuhl.de/9739},
}
@article{Shor:199710,
doi = {10.1137/S0097539795293172},
author = {Peter W. Shor},
title = {{Polynomial-Time Algorithms for Prime Factorization and Discrete
Logarithms on a Quantum Computer}},
year = 1997,
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x-url = {https://doi.org/10.1137/S0097539795293172},
pdf = {https://arxiv.org/pdf/quant-ph/9508027},
}
@inproceedings{Patarin:199711,
doi = {10.1007/BFb0028491},
author = {Jacques Patarin and Louis Goubin},
title = {{Trapdoor one-way permutations and multivariate polynomials}},
year = 1997,
month = nov,
booktitle = {{Information and Communications Security}},
editor = {Yongfei Han and Tatsuaki Okamoto and Sihan Qing},
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volume = 1334,
x-url = {https://doi.org/10.1007/BFb0028491},
pdf = {http://www.goubin.fr/papers/dstar.pdf},
}
@inproceedings{Kipnis:199808,
doi = {10.1007/BFb0055733},
author = {Aviad Kipnis and Adi Shamir},
title = {{Cryptanalysis of the Oil and Vinegar Signature Scheme}},
year = 1998,
month = aug,
booktitle = {{Advances in Cryptology -- CRYPTO '98}},
editor = {Hugo Krawczyk},
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series = {Lecture Notes in Computer Science},
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x-url = {https://doi.org/10.1007/BFb0055733},
pdf = {https://link.springer.com/content/pdf/10.1007/BFb0055733.pdf},
}
@misc{Schneier:199810,
author = {Bruce Schneier},
title = {{Memo to the Amateur Cipher Designer}},
month = oct,
year = 1998,
howpublished = {Crypto-Gram},
url = {https://archive.is/L9DL2},
}
@inproceedings{Kipnis:199904,
doi = {10.1007/3-540-48910-X_15},
author = {Aviad Kipnis and Jacques Patarin and Louis Goubin},
title = {{Unbalanced Oil and Vinegar Signature Schemes}},
year = 1999,
month = apr,
booktitle = {{Advances in Cryptology -- EUROCRYPT '99}},
editor = {Jacques Stern},
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series = {Lecture Notes in Computer Science},
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x-url = {https://doi.org/10.1007/3-540-48910-X_15},
pdf = {http://www.goubin.fr/papers/OILLONG.PDF},
}
@article{Faugere:199906,
doi = {doi.org/10.1016/S0022-4049(99)00005-5},
author = {Jean-Charles Faug{\`e}re},
title = {{A new efficient algorithm for computing Gr{\"o}bner bases $(F_{4})$}},
year = 1999,
month = jun,
journal = {{Journal of Pure and Applied Algebra}},
volume = 139,
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x-url = {https://doi.org/10.1016/S0022-4049(99)00005-5},
pdf = {https://www.sciencedirect.com/science/article/pii/S0022404999000055/pdf},
}
@inproceedings{Faugere:200207,
doi = {10.1145/780506.780516},
author = {Jean-Charles Faug{\`e}re},
title = {{A new efficient algorithm for computing Gr{\"o}bner bases without
reduction to zero $(F_{5})$}},
year = 2002,
month = jul,
booktitle = {{Proceedings of the 2002 International Symposium on Symbolic and
Algebraic Computation}},
pages = {75--83},
x-url = {https://doi.org/10.1145/780506.780516},
pdf = {https://www-polsys.lip6.fr/~jcf/Papers/F02a.pdf},
}
@inproceedings{Chen:200210,
author = {Jiun-Ming Chen and Bo-Yin Yang and Bor-Yuan Peng},
title = {{Tame Transformation Signatures and Topsy-Turvy Hashes}},
year = 2002,
month = oct,
booktitle = {{Proceedings of the Second International Workshop for Asian
Public Key Infrastructures}},
pages = {93--100},
pdf = {http://precision.moscito.org/by-publ/recent/7.pdf},
}
@book{Dummit:2003,
isbn = 9780471433347,
author = {David S. Dummit and Richard M. Foote},
title = {{Abstract Algebra}},
year = 2003,
edition = {3rd},
publisher = {Wiley},
}
@book{Goldreich:2004,
isbn = 9780521830843,
author = {Oded Goldreich},
title = {{Foundations of Cryptography: Volume 2, Basic Applications}},
year = 2004,
edition = {1st},
publisher = {Cambridge University Press},
}
@inproceedings{Braeken:200502,
doi = {10.1007/978-3-540-30574-3_4},
author = {An Braeken and Christopher Wolf and Bart Preneel},
title = {{A Study of the Security of Unbalanced Oil and Vinegar Signature
Schemes}},
year = 2005,
month = feb,
booktitle = {{Topics in Cryptology -- CT-RSA 2005}},
editor = {Alfred Menezes},
pages = {29--43},
series = {Lecture Notes in Computer Science},
volume = 3376,
x-url = {https://doi.org/10.1007/978-3-540-30574-3_4},
pdf = {https://eprint.iacr.org/2004/222.pdf},
}
@inproceedings{Ding:200506,
doi = {10.1007/11496137_12},
author = {Jintai Ding and Dieter Schmidt},
title = {{Rainbow, a New Multivariable Polynomial Signature Scheme}},
year = 2005,
month = jun,
booktitle = {{Applied Cryptography and Network Security}},
editor = {John Ioannidis and Angelos Keromytis and Moti Yung},
pages = {164--175},
series = {Lecture Notes in Computer Science},
volume = 3531,
x-url = {https://doi.org/10.1007/11496137_12},
}
@phdthesis{Wolf:200511,
author = {Christopher Wolf},
title = {{$\mathcal{M}$ultivariate $\mathcal{Q}$uadratic Polynomials in Public
Key Cryptography}},
year = 2005,
month = nov,
school = {Katholieke Universiteit Leuven},
x-url = {https://lirias.kuleuven.be/1690482?limo=0},
}
@article{Wolf:200603,
doi = {10.1007/s10623-006-0015-5},
author = {Christopher Wolf and An Braeken and Bart Preneel},
title = {{On the security of stepwise triangular systems}},
year = 2006,
month = mar,
journal = {{Design, Codes and Cryptography}},
volume = 40,
pages = {285--302},
x-url = {https://doi.org/10.1007/s10623-006-0015-5},
pdf = {https://www.esat.kuleuven.be/cosic/publications/article-813.pdf},
}
@article{Ding:200604,
doi = {10.1007/s10207-006-0003-9},
author = {Jintai Ding and Dieter Schmidt and Zhijun Yin},
title = {{Cryptanalysis of the new TTS scheme in CHES 2004}},
year = 2006,
month = apr,
journal = {{International Journal of Information Security}},
volume = 5,
number = 4,
pages = {231--240},
x-url = {https://doi.org/10.1007/s10207-006-0003-9},
}
@inproceedings{Billet:200609,
doi = {10.1007/11832072_23},
author = {Olivier Billet and Henri Gilbert},
title = {{Cryptanalysis of Rainbow}},
year = 2006,
month = sep,
booktitle = {{Security and Cryptography for Networks}},
editor = {Roberto de Prisco and Moti Yung},
pages = {336--347},
series = {Lecture Notes in Computer Science},
volume = 4116,
x-url = {https://doi.org/10.1007/11832072_23},
pdf = {https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.97.4305&rep=rep1&type=pdf},
}
@article{Berkopec:200607,
doi = {10.1016/j.jda.2006.01.001},
author = {Ales Berkopec},
title = {{HyperQuick algorithm for discrete hypergeometric distribution}},
year = 2006,
month = jul,
journal = {{Journal of Discrete Algorithms}},
volume = 5,
number = 2,
pages = {341--347},
x-url = {https://doi.org/10.1016/j.jda.2006.01.001},
pdf = {https://core.ac.uk/download/pdf/82509069.pdf},
}
@book{Ding:2006,
isbn = 9780387322292,
author = {Jintai Ding and Jason Gower and Dieter Schmidt},
title = {{Multivariate Public Key Cryptosystems}},
year = 2006,
edition = {1st},
publisher = {Springer},
}
@book{Press:2007,
isbn = 9780521880688,
author = {William H. Press and Saul A. Teukolsky and William T. Vetterling
and Brian P. Flannery},
title = {{Numerical Recipes: The Art of Scientific Computing}},
year = 2007,
edition = {3rd},
publisher = {Cambridge University Press},
}
@inproceedings{Ding:200806,
doi = {10.1007/978-3-540-68914-0_15},
author = {Jintai Ding and Bo-Yin Yang and Chia-Hsin Owen Chen
and Ming-Shing Chen and Chen-Mou Cheng},
title = {{New Differential-Algebraic Attacks and Reparametrization of
Rainbow}},
year = 2008,
month = jun,
booktitle = {{Applied Cryptography and Network Security}},
editor = {Steven M. Bellovin and Rosario Gennaro and Angelos Keromytis
and Moti Yung},
pages = {242--257},
series = {Lecture Notes in Computer Science},
volume = 5037,
x-url = {https://doi.org/10.1007/978-3-540-68914-0_15},
pdf = {https://eprint.iacr.org/2008/108.pdf},
}
@inproceedings{Faugere:200808,
doi = {10.1007/978-3-540-85174-5_16},
author = {Jean-Charles Faug{\`e}re and Françoise Levy-Dit-Vehel
and Ludovic Perret},
title = {{Cryptanalysis of MinRank}},
year = 2008,
month = aug,
booktitle = {{Advances in Cryptology -- CRYPTO 2008}},
editor = {David Wagner},
pages = {280--296},
series = {Lecture Notes in Computer Science},
volume = 5157,
x-url = {https://doi.org/10.1007/978-3-540-85174-5_16},
pdf = {https://link.springer.com/content/pdf/10.1007/978-3-540-85174-5_16.pdf},
}
@book{Bernstein:2008,
isbn = 9783540887010,
author = {Daniel J. Bernstein and Johannes Buchmann and Erik Dahmen},
title = {{Post Quantum Cryptography}},
year = 2008,
edition = {1st},
publisher = {Springer},
}
@book{Apostol:2010,
isbn = 9781441928054,
author = {Tom M. Apostol},
title = {{Introduction to Analytic Number Theory}},
year = 2010,
edition = {1st},
publisher = {Springer},
}
@inproceedings{Petzoldt:201005,
doi = {10.1007/978-3-642-12929-2_16},
author = {Albrecht Petzoldt and Stanislav Bulygin and Johannes Buchmann},
title = {{Selecting Parameters for the Rainbow Signature Scheme}},
year = 2010,
month = may,
booktitle = {{Post-Quantum Cryptography}},
editor = {Nicolas Sendrier},
pages = {218--240},
series = {Lecture Notes in Computer Science},
volume = 6061,
x-url = {https://doi.org/10.1007/978-3-642-12929-2_16},
pdf = {https://eprint.iacr.org/2010/437.pdf},
}
@inproceedings{Tsujii:201005,
doi = {10.1007/978-3-642-12929-2_15},
author = {Shigeo Tsujii and Masahito Gotaishi and Kohtaro Tadaki
and Ryou Fujita},
title = {{Proposal of a Signature Scheme Based on STS Trapdoor}},
year = 2010,
month = may,
booktitle = {{Post-Quantum Cryptography}},
editor = {Nicolas Sendrier},
pages = {201--217},
series = {Lecture Notes in Computer Science},
volume = 6061,
x-url = {https://doi.org/10.1007/978-3-642-12929-2_15},
pdf = {https://eprint.iacr.org/2010/118.pdf},
}
@inproceedings{Petzoldt:201006,
author = {Albrecht Petzoldt and Stanislav Bulygin and Johannes Buchmann},
title = {{A Multivariate Signature Scheme with a Partially Cyclic Public
Key}},
year = 2010,
month = jun,
booktitle = {{International Conference on Symbolic Computation and
Cryptography}},
editor = {Jean-Charles Faug{\`e}re and Carlos Cid},
pages = {229--235},
pdf = {https://www-polsys.lip6.fr/~jcf/Papers/scc2010-proceedings.pdf#page=229},
}
@inproceedings{Petzoldt:201012,
doi = {10.1007/978-3-642-17401-8_4},
author = {Albrecht Petzoldt and Stanislav Bulygin and Johannes Buchmann},
title = {{CyclicRainbow -- A Multivariate Signature Scheme with a Partially
Cyclic Public Key}},
year = 2010,
month = dec,
booktitle = {{Progress in Cryptology -- INDOCRYPT 2010}},
editor = {Guang Gong and Kishan Chand Gupta},
pages = {33--48},
series = {Lecture Notes in Computer Science},
volume = 6498,
x-url = {https://doi.org/10.1007/978-3-642-17401-8_4},
pdf = {https://eprint.iacr.org/2010/424.pdf},
}
@inproceedings{Petzoldt:201103,
doi = {10.1007/978-3-642-19379-8_21},
author = {Albrecht Petzoldt and Stanislav Bulygin and Johannes Buchmann},
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month = jul,
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year = 2017,
month = nov,
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title = {{Field Lifting for Smaller UOV Public Keys}},
year = 2017,
month = dec,
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@misc{Ding:201712,
author = {Jintai Ding and Ming-Shing Chen and Albrecht Petzoldt
and Dieter Schmidt and Bo-Yin Yang},
title = {{Rainbow - Algorithm Specification and Documentation}},