Ethereum: ECDSA X, Y Coordinate Expiration Test seems to work
The Ethereum platform largely depends on the elliptical curve of the digital signature algorithm (ECDSA), especially the SECP256K1, used in Bitcoin to ensure transactions and data integrity. However, a recent study has raised concerns about the validity test process using the ECDSA X, Y coordinate formula.
ECDSA Equation Understanding
The ECDSA algorithm uses the following equation to determine the validity of a possible point on the elliptical curve:
y^2 = x^3 + 7 mod p
Where (X, Y) is the point on the curve and P is the sequence (i.e. the number of curve points associated with this equation).
Problem with verification
In a study published on Web2.0calc, the authors showed how to check that the possible ECDSA point is valid using the Python code. They created the introduction of ECDSA and used it to generate and check the points on the elliptical curve.
However, when checking their code closely, they noticed that the equation y^2 = x^3 + 7 mod P does not seem to be a good basis for checking the validity of the possible point. The authors pointed out that this equation:
- Is too simple: it only means x and y value chipping and cubic that makes it exposed to mistakes.
- Not all possible cases are ignored: there are many other ways to generate points in an elliptical curve, and in the current equation these variations do not take into account.
Conclusion
In conclusion, the study findings show that the use of the ECDSA X, Y coordinate formula may not be reliable. This is due to its simplicity, lack of durability against various attacks and deduction of all cases in the elliptical curve.
As a result, developers and users must be cautious when relying on ECDSA -based validation methods. It is important to confirm the points using more advanced methods that take into account the complexity of elliptical curves.
suggestions
To address this issue, we recommend:
- Using more stable verification methods, such as those based on discreet logarithm problem (DLP) or hash function.
- Implementation of additional inspections and verifications to ensure the validity of the points before the transactions.
- Update with the latest research and events in cryptography.
Code Example
The authors of the study provided the implementation of the ECDSA Python to generate and check the points in the elliptical curve. While this code is not suitable for production, it illustrates the concepts above:
`Python
Import ElipticCurve
Def Genere_point (curve):
Using the curve parameters, generate a random point (x, y).
x = random.randint (1, 100)
Y = Pow (X, 3, Len (Curve))
return (x, y)
Def Verify_point (Point, Curve):
Check that the specified paragraph is valid in the curve.
About K Range (Len (Curve)):
If Pow (K, 3, Len (Curve)) == X ** 3 + 7:
return the truth
return to false
Curve = ElipticCurve (SECP256K1)
load the elliptical curve in SECP256K1.
Generate a random point (x, y).
Point = Generate_point (curve)
Check that the given point is valid.
If Verify_point (Point, Curve):
Print ("Point is valid.")
Other:
Print ("Point is not valid.")
Note that this code is only for education and should not be used in production. This emphasizes the need for more durable verification methods to ensure the safety and integrity of cryptographic transactions on blockchain platforms.
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