sources.bib

@ARTICLE {josephh.silverman2006,
    author  = "Joseph H. Silverman",
    title   = "An Introduction to the Theory of Elliptic Curves",
    journal = "Summer School on Computational Number Theory and Applications to Cryptography",
    year    = "2006",
    month   = "jul",
    url     = "https://www.math.brown.edu/johsilve/Presentations/WyomingEllipticCurve.pdf",
    pages   = "7",
    urldate = {2022-03-17}


}

@ARTICLE {michaelknudsen2005,
    author  = "Michael Knudsen",
    title   = "Gruppeteori",
    journal = "Aarhus Universitet",
    year    = "2005",
    pages   = "2-4",
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    month   = "mar",
    urldate = {2022-03-17}

}

@ARTICLE {williamstein2006,
    author  = "William Stein",
    title   = "Elliptic Curves",
    journal = "wstein.org",
    year    = "2006",
    url     = "https://wstein.org/simuw06/ch6.pdf",
    pages   = "Kapitel 6. side 105",
    urldate = {2022-03-17}
}


@ARTICLE {youssefelhousni2018,
    author  = "Youssef El Housni",
    title   = "Introduction to the Mathematical Foundations of Elliptic Curve Cryptography",
    journal = "HAL open science",
    year    = "2018",
    pages   = "s. 10-30, ",
    url     = "https://hal.archives-ouvertes.fr/hal-01914807/document",
    month   = "nov",
    urldate = {2022-03-17}

}

@ARTICLE {stefanfriedel2017,
    author  = "Stefan Friedel",
    title   = "An elementary proof of the group law for elliptic curves",
    journal = "University of Regensburg",
    year    = "2017",
    url     = "https://www.uni-regensburg.de/Fakultaeten/nat_Fak_I/friedl/papers/elliptic_2017.pdf",
    pages   = "1-10",
    urldate = {2022-03-17}

}

@BOOK {andreacorbellini2015,
    author = "Andrea Corbellini",
    year   = "2015",
    title  = "Elliptic curve cryptography a gentle introduction",
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    urldate = {2022-03-13}
}

@BOOK {donaldknuth1968,
    author    = "Donald Knuth",
    title     = "The Art of Computer Programming",
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@BOOK {seanriley2017,
    author  = "Sean Riley",
    year    = "2017",
    title   = "Secret Key Exchange (Diffie-Hellman)",
    series  = "ComputerPhile: Cryptography",
    month   = "dec",
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}

 @book{gothberg_2006,
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 @BOOK {Avinck_2011,
    author    = "A.J. Han Vinck",
    title     = " Illustration of the idea of the Diffie-Hellman key exchange.",
    publisher = "University of Duisburg-Essen",
    year      = "2011",
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}

@BOOK {timsroberts,
    author    = "Tim S Roberts",
    title     = "Discrete Logarithm Problem",
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    series    = "Number Theory, Logic, and Cryptography",
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}

@BOOK {Ramachandran,
    author    = "Ramachandran Balasubramanian and Neal Koblitz",
    title     = "The improbability that an elliptic curve has subexponential discrete log problem under the menezesokamotovanstone algorithm",
    publisher = " Journal of cryptology",
    year      = "1998",
    volume    = "2",
    url       = "https://www.semanticscholar.org/paper/The-Improbability-That-an-Elliptic-Curve-Has-Log-Balasubramanian-Koblitz/a61698096f8b519772a9d8211daa1df948d5107e",
    pages     = "141-145"
}

@BOOK {danielj.bernsteintanjalange2014,
    author    = "Daniel J. Bernstein and Tanja Lange",
    title     = "SafeCurves: choosing safe curves for elliptic-curve cryptography. https://safecurves.cr.yp.to",
    publisher = "SafeCurves",
    url       = "https://safecurves.cr.yp.to",
    year      = "2014",
    urldate = {2022-03-14}
}

@ARTICLE {andrewharrington,
    author  = "Andrew Harrington",
    year    = "2011",
    title   = "Extended Euclidean Algorithm",
    journal = "https://www.luc.edu/cs/",
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    pages   = "2"
}


@BOOK {seanriley12017,
    author  = "Sean Riley",
    year    = "2017",
    title   = "Key Exchange Problems",
    series  = "ComputerPhile: Cryptography",
    month   = "dec",
    url     = "https://www.youtube.com/watch?v=vsXMMT2CqqE&t=404s",
    urldate = {2022-03-14}
}

@ARTICLE {carlpomerance1987,
    author  = "Carl Pomerance",
    title   = "Fast, Rigorous factorization and discrete logarithm algorithms",
    journal = "Discrete Algorithms and complexity",
    year    = "1987",
    pages   = "119-143"
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@ARTICLE {nilsguraarunpatel2004,
    author  = "Nils Gura and Arun Patel,",
    title   = "Comparing elliptic curve cryptography and rsa on 8-bit cpus",
    journal = "Cryptographic hardware and embedded systems-CHES",
    year    = "2004",
    pages   = "pp. 119-132",
    note    = "Other authors: Arvinderpal Wander, Hans Eberle, and Sheueling Chang Shantz."
}

@article {mahto,
author = {Mahto, Dindayal and YADAV, DILIP},
year = {2017},
month = {01},
pages = {9053-9061},
title = {RSA and ECC: A comparative analysis},
volume = {12},
journal = {International Journal of Applied Engineering Research}
}

@BOOK {satoshinichi2020,
    author    = "Satoshi Nichi",
    title     = "The SafeCurves Scare: Why SafeCurves is a misnomer",
    publisher = "gitlab.com",
    year      = "2020",
    url       = "https://satoshinichi.gitlab.io/b/safecurves-scare.html",
    urldate = {2022-03-14},
    month     = "apr"
}

@BOOK {josephmenn2013,
    author    = "Joseph Menn",
    title     = "Exclusive: Secret contract tied NSA and security industry pioneer",
    publisher = "Reuters",
    year      = "2013",
    url       = "https://www.reuters.com/article/us-usa-security-rsa-idUSBRE9BJ1C220131220",
    urldate = {2022-03-14},
    month     = "dec"
}

@ARTICLE {nsa2022,
    author  = "NSA",
    title   = "Quantum Key Distribution (QKD) and Quantum Cryptography QC",
    journal = "Cybersecurity",
    url = "https://www.nsa.gov/Cybersecurity/Quantum-Key-Distribution-QKD-and-Quantum-Cryptography-QC/",
    urldate = {2022-03-14},
    year    = "2022"
}

@ARTICLE {jeremywohlwend2022,
    author  = "Jeremy Wohlwend",
    title   = "ELLIPTIC CURVE CRYPTOGRAPHY: PRE AND POST QUANTUM",
    journal = "MIT",
    year    = "2022",
    url     = "https://math.mit.edu/~apost/courses/18.204-2016/18.204_Jeremy_Wohlwend_final_paper.pdf",
    urldate = {2022-03-14},
    pages   = "s. 13"
}


@ARTICLE {patrickvacek2013,
    author = "Patrick Vacek",
    title = "The Dark Side of Cryptography: Kleptography in Black-Box Implementations",
    journal = "infosecurity-magazine",
    url = "https://www.infosecurity-magazine.com/magazine-features/the-dark-side-of-cryptography-kleptography-in/",
    urldate = {2022-03-15},
    year   = "2013"
}