Ponimania Cooffitsies Elliptic Ethereum

The elliptic krychyts represent a mathmatical presentation, the use of cytro transaction and convenience of the centennium of the data blockchain. In this state, we are uttering in the specifics of that, as a basin plant G (also the existence as a point 0) on the elliptic kriva secp256k1 introduced to the six -tine and ten -format forms.

Introduction Eliptic Kriva

On the elliptic kriva, the Point Plant is defined by his coordinates (x, y) that:

X^2 + Y^2 ≡ 1 (MOD P)

Where X and y ya are coordinates of the pole P on the kriva. The point in the indiscretion (considered as O) is served by the element of the identification.

SECP256K1 Elliptic kryv

SECP256K1 – This is a cryptographic elliptic krychy, a stubborn nist, which is a consistent cryptographic system, such as the cipher signatures of RSA and the elliptical. This conquetti krychytiya is the scoring field of 256 bit (32 bytes) for a closed key.

BasePoint G on SECP256K1

The BasePoint G is an important element of the elliptic kriva, the introduction of the point in the non -inferiority. In the Counste SECP256K1 in the BasePoint G is Coordinates:

GX = (79BE667E F9DCBBAC 55A06295 CE870B07 029BFCDB …

SHEESTDERTY CONTRICTED

Ethereum: Why doesn't basepoint G of Secp256K1 seem to be on the Elliptic Curve?

Six -tiptarian presentation of these coordinate – this is what we are interested.

`plain

GX = (79BE667E F9DCBBAC 55A06295 CE870B07 029BFCDB …

`

This six -sized code of the existence from the Ryada of the Chisel, each from which the values ​​in the defined bit -leaved. The first 64 Bita introduces a part of the coordinate, in the time as the following 64 bites are imposed by adding information.

Tsesetic presentation

For tech, who is not a sign with a six -tingler note, here is a rapid hand -paddock:

  • 79 introduces a number 255 (2^8 – 1)

  • Be 'introduces a six -hand value 0003

  • 667erepresent the ten -point 0x6c27fe

  • F9DCBABC`

In the combined, these six -tipal values ​​presented the one -of -the -Elliptic SECP256K1.

Why is the BasePoint G not appear in the elliptic crooked?

It is not possible to significantly significantly in the cryptographic projects, the base point G SECP256K1 is not pretended to be a pole elliptic kriva. This is connected with the few tricks:

* Reasonableness : Introduction of the basic point g as unintended stack gives it an incidental forces, such as the “attack of the base point” or the “point of entry into the indiscretion”.

* FLY : Into Introduce the Coordinate Algebra secp256k1 can be taken to the false question and decrease.

* Effectiveness : In cryptographic prostate and efficiency of the frequent paragraphs in the attachment of the sub -Mathematical presentation.

Such an image, the hath semi -daddyatheric and tenative presentations of the base disc g on the secp256k1 interstate, they do not meet the elliptic crooked. The phrase and the problems of the immobility, the connected with the introduction of the basin point g such an image that makes it impenetrable for cryptographic implements.

BINGX SUPPLY AVERAGE CONVERGENCE

Ethereum: Why doesn’t basepoint G of Secp256K1 seem to be on the Elliptic Curve?

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