%% oldest and most popular article about known attacks on RSA.
@article{20years,
  title={Twenty years of attacks on the RSA cryptosystem},
  author={Boneh, Dan and Rivest, Ron and Shamir, Adi and Adleman, Len and others},
  journal={Notices of the AMS},
  volume={46},
  number={2},
  pages={203--213},
  year={1999}
}


%% reccomended limits of p-q
@misc{DSS2009,
  title={FIPS PUB 186-3: Digital Signature Standard},
  author={NIST},
  year={2009}
}

%% here there's the descriptions for an efficient computation of fₚ(x) = y . y² ≡ x (mod p)
%% [openssl implements it]
@misc{ieee2001ieee,
  title = {IEEE P1363a D10 (Draft Version 10):
           Standard Specifications for Public Key Cryptography:
           Additional Techniques, IEEE P1363 Working Group, Working draft},
  author = {IEEE P1363 Working Group and others},
  year = {2001}
}

@misc{rfc6176,
  title = {Prohibiting Secure Sockets Layer (SSL)
           Version 2.0},
  author = {S. Turner and T. Polk},
  publisher = {RFC Editor},
  url = {http://tools.ietf.org/html/rfc6176}
}

@book{bombelli:algebra,
  title = {L'Algebra},
  author = {Rafael Bombelli},
  year={1572},
  url={http://mathematica.sns.it/opere/9/}
}

@book{AOCPv2,
 author = {Knuth, Donald E.},
 title = {The Art of Computer Programming, Volume 2 (3rd Ed.):
          Seminumerical Algorithms},
 year = {1997},
 isbn = {0-201-89684-2},
 publisher = {Addison-Wesley Longman Publishing Co., Inc.},
 address = {Boston, MA, USA}
}

@book{MITalg,
  author = "T.~H. Cormen and C.~E. Leiserson and R.~L. Rivest and C.~Stein",
  edition = "3rd",
  publisher = "The MIT Press",
  title = "Introduction to Algorithms",
  year = 2009,
  isbn = "978-0-262-03384-8"
}

@book{Dijkstra:adop,
 author = {Dijkstra, Edsger Wybe},
 title = {A  Discipline of Programming},
 year = {1997},
 isbn = {013215871X},
 edition = {1st},
 publisher = {Prentice Hall PTR},
 address = {Upper Saddle River, NJ, USA},
}

@book{riesel,
 author = {Riesel, Hans},
 title = {Prime Numbers and Computer Methods for Factorization},
 year = {1985},
 isbn = {0-8176-3291-3},
 publisher = {Birkhauser Boston Inc.},
 address = {Cambridge, MA, USA},
}

@book{Crandall,
    author = {Richard Crandall and Carl Pomerance and Richard Crandall and Carl Pomerance},
    title = {Prime numbers: a computational perspective. Second Edition},
    year = {2005}
}

@article{wiener,
 author = {Michael J. Wiener},
 title = {Cryptanalysis of short RSA secret exponents},
 journal = {IEEE Transactions on Information Theory},
 year = {1990},
 volume = {36},
 pages = {553--558},
 url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.92.5261}
}


@article{pollard1974,
 author = {J. M. Pollard},
 title = {Theorems on factorization and primality testing},
 journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
 volume = 76,
 issue = 03,
 month = 11,
 year = 1974,
 issn = {1469-8064},
 pages = {521--528},
 numpages = 8,
 doi = {10.1017/S0305004100049252},
 url = {http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=2074504}
}


@article{Williams:p+1,
  title = {A $p + 1$ Method of Factoring},
  author = {Williams, H. C.},
  journal = {Mathematics of Computation},
  volume = 39,
  number = 159,
  jstor_formatteddate = {Jul., 1982},
  pages = {pp. 225-234},
  url = {http://www.jstor.org/stable/2007633},
  ISSN = 00255718,
  language = {English},
  year = 1982,
  publisher = {American Mathematical Society},
}

@article{dixon,
  title = {Asymptotically Fast Factorization of Integers},
  author = {Dixon, John D.},
  journal = {Mathematics of Computation},
  volume = {36},
  number = {153},
  pages = {pp. 255-260},
  url = {http://www.jstor.org/stable/2007743},
  ISSN = {00255718},
  year = {1981}
}