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1

Stevens, Zac Roger Julius. Elliptic Curve Cryptography. Oxford Brookes University, 2003.

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2

F, Blake Ian, Seroussi G. 1955-, and Smart Nigel P. 1967-, eds. Advances in elliptic curve cryptography. Cambridge University Press, 2005.

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3

Menezes, A. J. Elliptic curve public key cryptosystems. Kluwer Academic Publishers, 1993.

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4

Henri, Cohen, and Frey Gerhard 1944-, eds. Handbook of elliptic and hyperelliptic curve cryptography. Taylor and Francis, 2005.

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5

Implementing elliptic curve cryptography. Manning, 1999.

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6

Blake, Ian F., Gadiel Seroussi, and Nigel P. Smart, eds. Advances in Elliptic Curve Cryptography. Cambridge University Press, 2005. http://dx.doi.org/10.1017/cbo9780511546570.

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7

Guide to Elliptic Curve Cryptography. Springer-Verlag, 2004. http://dx.doi.org/10.1007/b97644.

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8

Hankerson, Darrel, Alfred J. Menezes, and Scott Vanstone. Guide to Elliptic Curve Cryptography. Springer London, Limited, 2004.

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9

Lange, Tanja, Henri Cohen, Gerhard Frey, Roberto Avanzi, and Christophe Doche. Elliptic and Hyperelliptic Curve Cryptography. Taylor & Francis Group, 2018.

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10

Hankerson, Darrel, Alfred J. Menezes, and Scott Vanstone. Guide to Elliptic Curve Cryptography. Springer New York, 2010.

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11

Blake, Ian F., Nigel P. Smart, and Gadiel Seroussi. Advances in Elliptic Curve Cryptography. Cambridge University Press, 2009.

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12

Blake, Ian F., Nigel P. Smart, and Gadiel Seroussi. Advances in Elliptic Curve Cryptography. Cambridge University Press, 2005.

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13

Blake, Ian F., Nigel P. Smart, and G. Seroussi. Advances in Elliptic Curve Cryptography. Cambridge University Press, 2005.

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14

Blake, Ian F., Nigel P. Smart, N. J. Hitchin, and Gadiel Seroussi. Advances in Elliptic Curve Cryptography. Cambridge University Press, 2005.

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15

Rosing, Michael. Elliptic Curve Cryptography for Developers. Manning Publications Co. LLC, 2024.

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16

Cohen, Henri, Gerhard Frey, Roberto Avanzi, Christophe Doche, and Tanja Lange, eds. Handbook of Elliptic and Hyperelliptic Curve Cryptography. Chapman and Hall/CRC, 2005. http://dx.doi.org/10.1201/9781420034981.

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17

Handbook of elliptic and hyperelliptic curve cryptography. Chapman & Hall/CRC, 2005.

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18

Lange, Tanja, Henri Cohen, Gerhard Frey, Roberto Avanzi, and Christophe Doche. Handbook of Elliptic and Hyperelliptic Curve Cryptography. Taylor & Francis Group, 2005.

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19

Guide to Elliptic Curve Cryptography (Springer Professional Computing). Springer, 2004.

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20

Lange, Tanja, Henri Cohen, Gerhard Frey, Roberto Avanzi, and Christophe Doche. Handbook of Elliptic and Hyperelliptic Curve Cryptography, Second Edition. Taylor & Francis Group, 2015.

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21

(Editor), Ian F. Blake, Gadiel Seroussi (Editor), and Nigel P. Smart (Editor), eds. Advances in Elliptic Curve Cryptography (London Mathematical Society Lecture Note Series). 2nd ed. Cambridge University Press, 2005.

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22

Cohen, Henri. Handbook of Elliptic and Hyperelliptic Curve Cryptography. Discrete Mathematics and Its Applications. Taylor & Francis Group, 2006.

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23

(Editor), Henri Cohen, Gerhard Frey (Editor), Roberto Avanzi (Editor), et al., eds. Handbook of Elliptic and Hyperelliptic Curve Cryptography (Discrete Mathematics and Its Applications). Chapman & Hall/CRC, 2005.

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24

Sunar, Berk. Fast Galois field arithmetic for elliptic curve cryptography and error control codes. 1998.

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25

Halbutoğulları, Alper. Fast bit-level, word-level and parallel arithmetic in finite fields for elliptic curve cryptosystems. 1998.

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26

Halbutoğulları, Alper. Fast bit-level, word-level and parallel arithmetic in finite fields for elliptic curve cryptosystems. 1998.

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27

A, Bolotov A. Algebraic and algorithmic foundations An elementary introduction to Elliptic curve cryptography / Algebraicheskie i algoritmicheskie osnovy Elementarnoe vvedenie v ellipticheskuyu kriptografiyu. KomKniga, 2006.

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28

Daisūgaku kara manabu angō riron: Seisūron no kiso kara daen kyokusen angō no jissō made = Cryptography in algebraic aspects : from basic number theory to implementing elliptic curve cryptography. 2012.

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29

Martin, Keith M. Public-Key Encryption. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788003.003.0005.

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In this chapter, we introduce public-key encryption. We first consider the motivation behind the concept of public-key cryptography and introduce the hard problems on which popular public-key encryption schemes are based. We then discuss two of the best-known public-key cryptosystems, RSA and ElGamal. For each of these public-key cryptosystems, we discuss how to set up key pairs and perform basic encryption and decryption. We also identify the basis for security for each of these cryptosystems. We then compare RSA, ElGamal, and elliptic-curve variants of ElGamal from the perspectives of perfor
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