
Cryptography Algorithms
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ECDSA is the digital signature scheme used in Bitcoin architecture that adopts an elliptic curve called secp256k1, standardized by the Standards for Efficient Cryptography Group (SECG).
ECDSA suggests (a = 0
) and (b = 7
) as parameters in the following equation:
E: y2 = x3 + 7
For a more formal presentation, you can read the document reported by the SECG at https://www.secg.org/sec2-v2.pdf, where you can find the recommended parameters for the 256 bits associated with a Koblitz curve and the other bit-length sister curves.
This is the representation of secp256k1 in the real plane:
Figure 7.7 – secp256k1 elliptic curve
As we know, the elliptic curve has a part visible in the real plane and another representation in the imaginary plane. The form of an elliptic curve can be represented in 3D by a torus when the points are defined in a finite field, just as you can see in the following...
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