Difference between revisions of "G"
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| − | G is the | + | G refers to a distinguished point on the secpt256k1 elliptic curve known as the ''generator'' or ''base point''. |
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| + | Using elliptic curve point addition, one may add G to itself over and over again to form the sequence G, G + G, G + G + G, ... . Eventually every point on the elliptic curve will be generated in this sequence. Although this property is true for any point on the elliptic curve, the particular choice of G is chosen to be secure against attacks when used in the context of public key cryptography. | ||
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G in compressed form is: | G in compressed form is: | ||
Revision as of 15:44, 12 December 2019
G refers to a distinguished point on the secpt256k1 elliptic curve known as the generator or base point.
Using elliptic curve point addition, one may add G to itself over and over again to form the sequence G, G + G, G + G + G, ... . Eventually every point on the elliptic curve will be generated in this sequence. Although this property is true for any point on the elliptic curve, the particular choice of G is chosen to be secure against attacks when used in the context of public key cryptography.
G in compressed form is:
- G = 02 79BE667E F9DCBBAC 55A06295 CE870B07 029BFCDB 2DCE28D9 59F2815B 16F81798
and in uncompressed form is:
- G = 04 79BE667E F9DCBBAC 55A06295 CE870B07 029BFCDB 2DCE28D9 59F2815B 16F81798 483ADA77 26A3C465 5DA4FBFC 0E1108A8 FD17B448 A6855419 9C47D08F FB10D4B8
Finally the order n of G and the cofactor are:
- n = FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE BAAEDCE6 AF48A03B BFD25E8C D0364141
- h = 01