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Curves over y^2 + x*y = x^3 + a*x^2 + b

These are curves used in SEC 2 over prime fields: http://www.secg.org/SEC2-Ver-1.0.pdf The curve is a weierstrass curve with a[3] and a[2] set to 0.

Uses Jacobian Coordinates for speed if able:

https://en.wikipedia.org/wiki/Jacobian_curve https://en.wikibooks.org/wiki/Cryptography/Prime_Curve/Jacobian_Coordinates

PHP version 5 and 7

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Crypt

author

Jim Wigginton terrafrost@php.net

copyright

2017 Jim Wigginton

license

http://www.opensource.org/licenses/mit-license.html MIT License

link
http://pear.php.net/package/Math_BigInteger

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Curves over y^2 + x*y = x^3 + a*x^2 + b

        
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