Ethereum: Armory Chain Unblocking by Mathematical Properties
The Ethereum network has been praised for a long time for decentralized architecture and open source. One of the most important features of Ethereum is the use of public/private keys to ensure the operations known as intellectual contracts. However, one of the systems, which causes curiosity between consumers and developers, is how public keys are generated and used in combination with private keys.
For those who are not familiar, Ethereum uses the digital signatures of the Ellipse Curve (ECDSA) to sign reports containing surgery data. This process includes the use of mathematical properties called “unreposed function in a bag” to create a unique signature of each operation. However, the same mathematical property can also be used for the association of public and private keys.
Based on the Armory site that offers a convenient interface to generate Ethereum addresses, the public keys for these bitcoin style addresses can be generated without access to private keys, which are usually stored on a completely different computer. This has caused some users to think about how the army site is able to generate and check these public keys.
Mathematical property during the game
The mathematical feature that connects the Ethereum Public and Private pores is based on cryptography. Specifically, this includes the use of the bag features used to connect the entry data to a fixed quantity.
First of all, the “non -intertoroperative bag function” (NIF) is a type of cryptographic bag created by Niels Ferguson and Bruce Schneier. NIF has some desired properties including:
- determinism
: In view of the input message is only a possible value of the output bag.
2.
- Collection resistance : It is estimated that two different input messages can be found that create the same value of the exit bag.
Because of these features, NIF is ideal for generating safe digital signatures, including ECDSA. Using NIF to combine pairs of public and private keys, the Armory site can create unique Ethereum addresses, without requiring access to the appropriate private keys.
Conclusion
The connection between public and private pairs of Ethereum is an attractive example of how mathematical properties can be used for safe storage and data transfer. It is a non -interactive function of the bag (NIF) is a powerful tool that allows this connection to generate and check the ETHREUM addresses without the necessary access to appropriate private keys.
Although this property has been researched in detail in different fields, including cryptography and computer science, its effect on decentralized programs, such as Ethereum, remains an active research area. The development and subsequent implementation of more complex blockchain systems, understanding the mathematical properties that base them will become more and more important to ensure our digital assets.