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citations.bib
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%% This BibTeX bibliography file was created using BibDesk.
%% https://bibdesk.sourceforge.io/
%% Created for Jake Bruner at 2022-11-26 20:13:07 -0500
%% Saved with string encoding Unicode (UTF-8)
@book{cohen,
author = {Henri Cohen},
date-added = {2022-11-26 18:34:32 -0500},
date-modified = {2022-11-26 18:37:34 -0500},
isbn = {1584885181},
number = {34},
publisher = {Chapman & Hall/CRC},
series = {Discrete Mathematics and Its Applications},
title = {Handbook of Elliptic and Hyperelliptic Curve Cryptography},
year = {2005}}
@article{elgamal,
author = {Taher Elgamal},
date-added = {2022-08-23 18:07:14 -0400},
date-modified = {2022-08-23 18:10:00 -0400},
doi = {10.1109/TIT.1985.1057074},
journal = {IEEE Transactions on Information Theory},
number = {4},
pages = {469-472},
publisher = {Institute of Electrical and Electronics Engineers},
title = {A Public-Key Cryptosystem and a Signature Scheme Based on Discrete Logarithms},
volume = {31},
year = {1985},
bdsk-url-1 = {https://doi.org/10.1109/TIT.1985.1057074}}
@book{aschbacher,
author = {Michael Aschbacher},
date-added = {2022-08-23 16:57:00 -0400},
date-modified = {2022-08-23 16:58:46 -0400},
number = {7},
pages = {736-740},
publisher = {American Mathematical Society},
series = {Notices of the American Mathematical Society},
title = {The Status of the Classification of the Finite Simple Groups},
url = {https://www.ams.org/notices/200407/fea-aschbacher.pdf},
volume = {51},
year = {2004},
bdsk-url-1 = {https://www.ams.org/notices/200407/fea-aschbacher.pdf}}
@book{dummit,
author = {David S. Dummit, Richard M. Foote},
date-added = {2022-08-23 15:07:04 -0400},
date-modified = {2022-08-23 15:07:38 -0400},
edition = {3},
isbn = {9780471433347},
publisher = {Wiley},
title = {Abstract Algebra},
year = {2004},
bdsk-url-1 = {libgen.li/file.php?md5=d462bfac07bc8bb02d25fb49c57d617d}}
@book{diana,
date-added = {2022-08-22 15:23:12 -0400},
date-modified = {2022-08-22 15:25:43 -0400},
publisher = {National Security Agency},
series = {The David G. Boak Lectures},
title = {A History of U.S. Communication Security},
url = {https://www.governmentattic.org/18docs/Hist_US_COMSEC_Boak_NSA_1973u.pdf},
volume = {1},
year = {1973},
bdsk-url-1 = {https://www.governmentattic.org/18docs/Hist_US_COMSEC_Boak_NSA_1973u.pdf}}
@book{claude,
author = {Claude E. Shannon},
date-added = {2022-08-21 21:24:03 -0400},
date-modified = {2022-08-21 21:29:05 -0400},
doi = {10.1002/j.1538-7305.1949.tb00928.x},
issue = {4},
pages = {656-715},
publisher = {The Bell System Technical Journal},
title = {Communication Theory of Secrecy Systems},
volume = {28},
year = {1949},
bdsk-url-1 = {https://doi.org/10.1002/j.1538-7305.1949.tb00928.x}}
@article{lewand,
author = {Robert Edward Lewand},
date-added = {2022-08-21 21:19:53 -0400},
date-modified = {2022-08-21 21:20:55 -0400},
issn = {00255572},
journal = {The Mathematical Gazette},
number = {531},
pages = {401--411},
publisher = {Mathematical Association},
title = {The Perfect Cipher},
url = {http://www.jstor.org/stable/25759724},
urldate = {2022-05-21},
volume = {94},
year = {2010},
bdsk-url-1 = {http://www.jstor.org/stable/25759724}}
@book{cormen,
author = {Thomas H. Cormen},
date-added = {2022-08-21 21:09:06 -0400},
date-modified = {2022-08-21 21:10:25 -0400},
edition = {2},
isbn = {0070131511; 9780070131514},
publisher = {The MIT Press},
title = {Introduction To Algorithms},
url = {libgen.li/file.php?md5=55e8f1dd651a992b062b0148d292f7ef},
year = {2001},
bdsk-url-1 = {libgen.li/file.php?md5=55e8f1dd651a992b062b0148d292f7ef}}
@book{haese,
author = {Michael Haese},
date-added = {2022-08-21 21:06:47 -0400},
date-modified = {2022-08-21 21:07:05 -0400},
isbn = {1925489590},
publisher = {Haese Mathematics},
series = {Haese Mathematics},
title = {Mathematics: Analysis and Approaches HL},
year = {2019},
bdsk-url-1 = {libgen.li/file.php?md5=34cf7efb24d65c3db5bd9a65aa9615a2}}
@book{apostol,
author = {Tom M. Apostol},
date-added = {2022-08-21 21:02:49 -0400},
date-modified = {2022-08-21 21:04:07 -0400},
edition = {2},
isbn = {0387971270},
publisher = {Springer},
series = {Graduate Texts in Mathematics No. 41},
title = {Modular Functions and Dirichlet Series in Number Theory},
year = {1976},
bdsk-url-1 = {libgen.li/file.php?md5=6d5dd098307ad62fa6ff721374994ccc}}
@book{saracino,
author = {Dan Saracino},
date-added = {2022-08-21 15:43:47 -0400},
date-modified = {2022-08-21 15:44:08 -0400},
edition = {2},
isbn = {1577665368},
title = {Abstract Algebra},
year = {2008},
bdsk-url-1 = {libgen.li/file.php?md5=f4e167f8301d0819b7823bad8af6a75c}}
@book{koblitz,
author = {Neal Koblitz},
date-added = {2022-08-21 15:13:18 -0400},
date-modified = {2022-08-21 15:37:15 -0400},
edition = {2},
isbn = {9781461264422},
publisher = {Springer},
read = {0},
series = {Graduate Texts in Mathematics No. 114},
title = {A Course in Number Theory and Cryptography},
year = {1994},
bdsk-url-1 = {libgen.li/file.php?md5=446a3de28219ec36f2160013108280bf}}
@book{silverman,
title = {The Arithmetic of Elliptic Curves},
author = {Joseph H. Silverman},
publisher = {Springer},
isbn = {9780387962030},
year = {1986},
series = {Graduate Texts in Mathematics No. 106},
bdsk-url-1 = {libgen.li/file.php?md5=5c3673c8eb6c086be033daccd158badd}}
@article{thimbleby,
author = {Harold Thimbleby},
title = {Human factors and missed solutions to Enigma design weaknesses},
journal = {Cryptologia},
volume = {40},
number = {2},
pages = {177-202},
year = {2016},
publisher = {Taylor & Francis},
doi = {10.1080/01611194.2015.1028680}
}
@article{pomerance,
author = {Carl Pomerance},
title = {A Tale of Two Sieves},
journal = {Notices of the AMS},
volume = {43},
number = {12},
pages = {1473–1485},
year = {1996},
publisher = {The American Mathematical Society},
}
@article{bunimov,
author = {Viktor Bunimov},
title = {Area and time efficient modular multiplication of large integers},
journal = {Proceedings IEEE International Conference on Application-Specific Systems, Architectures, and Processors. ASAP 2003},
year = {2003},
publisher = {Institute of Electrical and Electronics Engineers},
doi = {10.1109/ASAP.2003.1212863}
}
@book{weinberg,
title = {Classical Solutions in Quantum Field Theory},
author = {Erick J. Weinberg},
publisher = {Cambridge University Press},
isbn = {9781139017787},
year = {2012},
doi = {10.1017/CBO9781139017787},
pages = {81-107}
}
@article{diem,
author = {Claus Diem},
title = {On the discrete logarithm problem
in elliptic curves},
journal = {Foundation Compositio Mathematica},
volume = {147},
pages = {75-104},
year = {2010},
doi = {https://doi.org/10.1112/S0010437X10005075}
}
@article{barker,
author = {Elaine Barker et al.},
doi = {10.6028/NIST.SP.800-56Br2},
journal = {National Institute of Standards and Technology},
number = {800-56B},
publisher = {US Department of Commerce},
title = {Recommendation for Pair-Wise Key Establishment Using Integer Factorization Cryptography},
url = {https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-56Br2.pdf},
year = {2018},
bdsk-url-1 = {https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-56Br2.pdf}
}
@misc{lomont,
doi = {10.48550/ARXIV.QUANT-PH/0411037},
url = {https://arxiv.org/abs/quant-ph/0411037},
author = {Lomont, Chris},
title = {The Hidden Subgroup Problem - Review and Open Problems},
publisher = {arXiv},
year = {2004},
}