I can give an explanation of the Ethereum Alt_Bn128 curve.
The Ethereum Alt_Bn128 curve is a kind of elliptical curve that was developed for use in the pre -compilation mechanism of the Ethereum network. PRECOMPILES is a feature with which developers can put together and implement functions or contracts directly in the Virtual Machine (EVM) from Ethereum without having to worry about the details of the execution.
The Alt_Bn128 curve is one of several curves that can be used for this purpose, but is noticeable due to its specific properties. Here is a breakdown of what makes it unique:
- 256 Bit curve
: The Curve from Ethereum Alt_Bn128 uses the popular NTRU cryptosystem (digital Enge -Field signature), which is widespread in many cryptographic systems.
- Field B-N-128
: The curve
Alt_bn128works in a certain field, which is referred to as B-N-128, where n is usually 16 or 32. This field enables efficient multiplication and exponcia of numbers in the curve.
- Alt_bn128 Specific parameters : The Alt_Bn128 curve has some clear parameters that are intended to optimize performance when working with certain data types such as binary vectors (BN).
In the Ethereum Pre -Compilation -Mechanism, compiled functions or contracts using the Alt_bn128 curve can be implemented directly in the EVM without being executed by a normal contract call. In this way, developers can write a more efficient and scalable code.
However, it seems that there can be some confusion about the field values used in Ethereum. The Prime (P) fell is typically 2^256 – 1, while the base bearing (q) is usually 2^8 + 1 = 257 or 2^32 – 1 = 2147483647.
The Alt_bn128 curve could use one of the main field value shown in the neuromans. This discrepancy could be for several reasons, such as:
- Differences in the implementation of the Alt_bn128 curve by Ethereum developer.
- Scenarios for different use that may require certain field values for optimal performance or security.
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In order to provide more precise information, it would be better to consult the official Ethereum documentation or to communicate with an Ethereum developer who can clarify the use of the BN128 curve within the Ethereum ecosystem.