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Prime group order. The group order #E(GF(p)) shall be a prime number in order to counter small-subgroup attacks (see ). Therefore, all groups proposed in this RFC have cofactor 1. Note that curves with prime order have no point of order 2 and therefore no point with y-coordinate 0. 5. Verifiably pseudo-random.
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Welcome to the Primer on Bezier Curves. This is a free website/ebook dealing with both the maths and programming aspects of Bezier Curves, covering a wide range of topics relating to drawing and working with that curve that seems to pop up everywhere, from Photoshop paths to CSS easing functions to Font outline descriptions.
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$ openssl ecparam -list_curves secp112r1 : SECG/WTLS curve over a 112 bit prime field secp112r2 : SECG curve over a 112 bit prime field secp128r1 : SECG curve over a 128 bit prime field secp128r2 : SECG curve over a 128 bit prime field secp160k1 : SECG curve over a 160 bit prime field secp160r1 : SECG curve over a 160 bit prime field secp160r2 ...
Curves such that n divides (where p is the characteristic of the field: q for a prime field, or for a binary field) for sufficiently small B are vulnerable to Menezes–Okamoto–Vanstone (MOV) attack which applies usual discrete logarithm problem (DLP) in a small-degree extension field of to solve ECDLP.
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