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added note to replace ECC diagrams with ones showing correct points

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Andreas M. Antonopoulos 2014-05-19 08:44:04 -04:00
parent 7fea35e380
commit a6c47ee88c
1 changed files with 3 additions and 1 deletions
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@ -29,7 +29,7 @@ In most implementations, the private and public keys are stored together as a _k
((("elliptic curve cryptography", "ECC"))) ((("elliptic curve cryptography", "ECC")))
Elliptic Curve Cryptography is a type of asymmetric or public-key cryptography based on the discrete logarithm problem as expressed by addition and multiplication on the points of an elliptic curve. Elliptic Curve Cryptography is a type of asymmetric or public-key cryptography based on the discrete logarithm problem as expressed by addition and multiplication on the points of an elliptic curve.
<< Replace chart below with one showing the K = k * G key generation as a line on the curve >>
[[ecc_addition]] [[ecc_addition]]
.Elliptic Curve Cryptography: Visualizing the addition operator on the points of an elliptic curve .Elliptic Curve Cryptography: Visualizing the addition operator on the points of an elliptic curve
@ -56,6 +56,8 @@ where +latexmath:[\(p = 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1\)]+, a ve
The +mod p+ indicates that this curve is over a finite field of prime order +p+, also written as latexmath:[\(\mathbb{F}_p\)]. The curve looks like a pattern of dots scattered in two dimensions, which makes it difficult to visualize. However, the math is identical as that of an elliptic curve over the real numbers shown above. The +mod p+ indicates that this curve is over a finite field of prime order +p+, also written as latexmath:[\(\mathbb{F}_p\)]. The curve looks like a pattern of dots scattered in two dimensions, which makes it difficult to visualize. However, the math is identical as that of an elliptic curve over the real numbers shown above.
<< Replace chart below with one showing the K = k * G key generation as a line on the curve >>
[[ecc-over-F37-math]] [[ecc-over-F37-math]]
.Elliptic Curve Cryptography: Visualizing the addition operator on the points of an elliptic curve over F(p) .Elliptic Curve Cryptography: Visualizing the addition operator on the points of an elliptic curve over F(p)
image::images/ecc-over-F37-math.png["Addition operator on points of an elliptic curve over F(p)"] image::images/ecc-over-F37-math.png["Addition operator on points of an elliptic curve over F(p)"]