The Idea Behind ZKPs
János Bolyai published his work on non-Euclidean geometries in 1932, three years after discovering them. His father Farkas Bolyai received an interesting letter soon after. Gauss wrote to Bolyai: "To praise it (János's work) would amount to praising myself. For the entire content of the work... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years." His friendship with Bolyai was strained as a result of this unsubstantiated ...
The Idea Behind ZKPs
János Bolyai published his work on non-Euclidean geometries in 1932, three years after discovering them. His father Farkas Bolyai received an interesting letter soon after. Gauss wrote to Bolyai: "To praise it (János's work) would amount to praising myself. For the entire content of the work... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years." His friendship with Bolyai was strained as a result of this unsubstantiated ...
BLS Signature Aggregation: Under the Hood
This is the second part of a series of articles explaining how cryptography in Ethereum works. The article assumes prior knowledge about Elliptic Curve Cryptography covered in the previous article. We cover the absolute basics of BLS signatures and how their aggregation works.Digital signatures play a big role in blockchains. A message that is digitally signed guarantees two things:Message authenticity: Evidence that a specific sender (owner of a private key) has created and signed the messag...
BLS Signature Aggregation: Under the Hood
This is the second part of a series of articles explaining how cryptography in Ethereum works. The article assumes prior knowledge about Elliptic Curve Cryptography covered in the previous article. We cover the absolute basics of BLS signatures and how their aggregation works.Digital signatures play a big role in blockchains. A message that is digitally signed guarantees two things:Message authenticity: Evidence that a specific sender (owner of a private key) has created and signed the messag...
Public Key Cryptography: Under the Hood
This is the first part of a series of articles explaining how cryptography in Ethereum works. The article does not assume any prior knowledge about cryptography and its mathematical foundations; it covers the absolute basics and delves into the details of how asymmetric encryption works. Special thanks to Waylon Jepsen for the wonderfully pedantic and thoughtful feedback and guidance.Cryptography is a branch of mathematics concerned with the secure transmission and protection of information. ...
Public Key Cryptography: Under the Hood
This is the first part of a series of articles explaining how cryptography in Ethereum works. The article does not assume any prior knowledge about cryptography and its mathematical foundations; it covers the absolute basics and delves into the details of how asymmetric encryption works. Special thanks to Waylon Jepsen for the wonderfully pedantic and thoughtful feedback and guidance.Cryptography is a branch of mathematics concerned with the secure transmission and protection of information. ...