Reinforcing the Security of the Sapling MPC The engineering and cryptography team at Zcash makes very large efforts to minimize risk. This is always a positive thing, […] Tags: Sapling, zkSNARKs Improved zk-SNARK Multi-party Computation Protocol zk-SNARKs – the zero-knowledge proofs at the core of Zcash – require a parameter generation ceremony to take place for […] Tags: cryptography, Parameter Generation, zkSNARKs An Update on Atomic Trades Decentralization is a key characteristic of cryptocurrencies because it removes dependence on trusting third parties in order to transact between […] Tags: tools, XCAT Explaining SNARKs Part VII: Pairings of Elliptic Curves << Part VI In Part VI, we saw an outline of the Pinocchio zk-SNARK. We were missing two things – […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part VI: The Pinocchio Protocol << Part V In part V we saw how a statement Alice would like to prove to Bob can be […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part V: From Computations to Polynomials << Part IV In the three previous parts, we developed a certain machinery for dealing with polynomials. In this part, […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part IV: How to make Blind Evaluation of Polynomials Verifiable << Part III In this part, we build on Part II and III to develop a protocol for verifiable blind […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part III: The Knowledge of Coefficient Test and Assumption << Part II In Part II, we saw how Alice can blindly evaluate the hiding :math:`E(P(s))` of her polynomial :math:`P` […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part II: Blind Evaluation of Polynomials << Part I In this post, we recall the notion of a polynomial, and explain the notion of “blind evaluation” […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part I: Homomorphic Hidings Constructions of zk-SNARKs involve a careful combination of several ingredients; fully understanding how these ingredients all work together can take […] Tags: cryptography, explainers, zkSNARKs An Update on Integrating Zcash on Ethereum (ZoE) Members of the Ethereum R&D team and the Zcash Company are collaborating on a research project addressing the combination of […] Tags: Ethereum, smart contracts, zkSNARKs How Transactions Between Shielded Addresses Work In ‘Anatomy of A Zcash Transaction’ we gave a general overview of Zcash Transactions. The purpose of this post is […] Tags: explainers, privacy, transactions, zkSNARKs 1 (current)2
Improved zk-SNARK Multi-party Computation Protocol zk-SNARKs – the zero-knowledge proofs at the core of Zcash – require a parameter generation ceremony to take place for […] Tags: cryptography, Parameter Generation, zkSNARKs An Update on Atomic Trades Decentralization is a key characteristic of cryptocurrencies because it removes dependence on trusting third parties in order to transact between […] Tags: tools, XCAT Explaining SNARKs Part VII: Pairings of Elliptic Curves << Part VI In Part VI, we saw an outline of the Pinocchio zk-SNARK. We were missing two things – […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part VI: The Pinocchio Protocol << Part V In part V we saw how a statement Alice would like to prove to Bob can be […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part V: From Computations to Polynomials << Part IV In the three previous parts, we developed a certain machinery for dealing with polynomials. In this part, […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part IV: How to make Blind Evaluation of Polynomials Verifiable << Part III In this part, we build on Part II and III to develop a protocol for verifiable blind […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part III: The Knowledge of Coefficient Test and Assumption << Part II In Part II, we saw how Alice can blindly evaluate the hiding :math:`E(P(s))` of her polynomial :math:`P` […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part II: Blind Evaluation of Polynomials << Part I In this post, we recall the notion of a polynomial, and explain the notion of “blind evaluation” […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part I: Homomorphic Hidings Constructions of zk-SNARKs involve a careful combination of several ingredients; fully understanding how these ingredients all work together can take […] Tags: cryptography, explainers, zkSNARKs An Update on Integrating Zcash on Ethereum (ZoE) Members of the Ethereum R&D team and the Zcash Company are collaborating on a research project addressing the combination of […] Tags: Ethereum, smart contracts, zkSNARKs How Transactions Between Shielded Addresses Work In ‘Anatomy of A Zcash Transaction’ we gave a general overview of Zcash Transactions. The purpose of this post is […] Tags: explainers, privacy, transactions, zkSNARKs 1 (current)2
An Update on Atomic Trades Decentralization is a key characteristic of cryptocurrencies because it removes dependence on trusting third parties in order to transact between […] Tags: tools, XCAT Explaining SNARKs Part VII: Pairings of Elliptic Curves << Part VI In Part VI, we saw an outline of the Pinocchio zk-SNARK. We were missing two things – […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part VI: The Pinocchio Protocol << Part V In part V we saw how a statement Alice would like to prove to Bob can be […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part V: From Computations to Polynomials << Part IV In the three previous parts, we developed a certain machinery for dealing with polynomials. In this part, […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part IV: How to make Blind Evaluation of Polynomials Verifiable << Part III In this part, we build on Part II and III to develop a protocol for verifiable blind […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part III: The Knowledge of Coefficient Test and Assumption << Part II In Part II, we saw how Alice can blindly evaluate the hiding :math:`E(P(s))` of her polynomial :math:`P` […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part II: Blind Evaluation of Polynomials << Part I In this post, we recall the notion of a polynomial, and explain the notion of “blind evaluation” […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part I: Homomorphic Hidings Constructions of zk-SNARKs involve a careful combination of several ingredients; fully understanding how these ingredients all work together can take […] Tags: cryptography, explainers, zkSNARKs An Update on Integrating Zcash on Ethereum (ZoE) Members of the Ethereum R&D team and the Zcash Company are collaborating on a research project addressing the combination of […] Tags: Ethereum, smart contracts, zkSNARKs How Transactions Between Shielded Addresses Work In ‘Anatomy of A Zcash Transaction’ we gave a general overview of Zcash Transactions. The purpose of this post is […] Tags: explainers, privacy, transactions, zkSNARKs 1 (current)2
Explaining SNARKs Part VII: Pairings of Elliptic Curves << Part VI In Part VI, we saw an outline of the Pinocchio zk-SNARK. We were missing two things – […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part VI: The Pinocchio Protocol << Part V In part V we saw how a statement Alice would like to prove to Bob can be […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part V: From Computations to Polynomials << Part IV In the three previous parts, we developed a certain machinery for dealing with polynomials. In this part, […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part IV: How to make Blind Evaluation of Polynomials Verifiable << Part III In this part, we build on Part II and III to develop a protocol for verifiable blind […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part III: The Knowledge of Coefficient Test and Assumption << Part II In Part II, we saw how Alice can blindly evaluate the hiding :math:`E(P(s))` of her polynomial :math:`P` […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part II: Blind Evaluation of Polynomials << Part I In this post, we recall the notion of a polynomial, and explain the notion of “blind evaluation” […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part I: Homomorphic Hidings Constructions of zk-SNARKs involve a careful combination of several ingredients; fully understanding how these ingredients all work together can take […] Tags: cryptography, explainers, zkSNARKs An Update on Integrating Zcash on Ethereum (ZoE) Members of the Ethereum R&D team and the Zcash Company are collaborating on a research project addressing the combination of […] Tags: Ethereum, smart contracts, zkSNARKs How Transactions Between Shielded Addresses Work In ‘Anatomy of A Zcash Transaction’ we gave a general overview of Zcash Transactions. The purpose of this post is […] Tags: explainers, privacy, transactions, zkSNARKs 1 (current)2
Explaining SNARKs Part VI: The Pinocchio Protocol << Part V In part V we saw how a statement Alice would like to prove to Bob can be […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part V: From Computations to Polynomials << Part IV In the three previous parts, we developed a certain machinery for dealing with polynomials. In this part, […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part IV: How to make Blind Evaluation of Polynomials Verifiable << Part III In this part, we build on Part II and III to develop a protocol for verifiable blind […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part III: The Knowledge of Coefficient Test and Assumption << Part II In Part II, we saw how Alice can blindly evaluate the hiding :math:`E(P(s))` of her polynomial :math:`P` […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part II: Blind Evaluation of Polynomials << Part I In this post, we recall the notion of a polynomial, and explain the notion of “blind evaluation” […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part I: Homomorphic Hidings Constructions of zk-SNARKs involve a careful combination of several ingredients; fully understanding how these ingredients all work together can take […] Tags: cryptography, explainers, zkSNARKs An Update on Integrating Zcash on Ethereum (ZoE) Members of the Ethereum R&D team and the Zcash Company are collaborating on a research project addressing the combination of […] Tags: Ethereum, smart contracts, zkSNARKs How Transactions Between Shielded Addresses Work In ‘Anatomy of A Zcash Transaction’ we gave a general overview of Zcash Transactions. The purpose of this post is […] Tags: explainers, privacy, transactions, zkSNARKs 1 (current)2
Explaining SNARKs Part V: From Computations to Polynomials << Part IV In the three previous parts, we developed a certain machinery for dealing with polynomials. In this part, […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part IV: How to make Blind Evaluation of Polynomials Verifiable << Part III In this part, we build on Part II and III to develop a protocol for verifiable blind […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part III: The Knowledge of Coefficient Test and Assumption << Part II In Part II, we saw how Alice can blindly evaluate the hiding :math:`E(P(s))` of her polynomial :math:`P` […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part II: Blind Evaluation of Polynomials << Part I In this post, we recall the notion of a polynomial, and explain the notion of “blind evaluation” […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part I: Homomorphic Hidings Constructions of zk-SNARKs involve a careful combination of several ingredients; fully understanding how these ingredients all work together can take […] Tags: cryptography, explainers, zkSNARKs An Update on Integrating Zcash on Ethereum (ZoE) Members of the Ethereum R&D team and the Zcash Company are collaborating on a research project addressing the combination of […] Tags: Ethereum, smart contracts, zkSNARKs How Transactions Between Shielded Addresses Work In ‘Anatomy of A Zcash Transaction’ we gave a general overview of Zcash Transactions. The purpose of this post is […] Tags: explainers, privacy, transactions, zkSNARKs 1 (current)2
Explaining SNARKs Part IV: How to make Blind Evaluation of Polynomials Verifiable << Part III In this part, we build on Part II and III to develop a protocol for verifiable blind […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part III: The Knowledge of Coefficient Test and Assumption << Part II In Part II, we saw how Alice can blindly evaluate the hiding :math:`E(P(s))` of her polynomial :math:`P` […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part II: Blind Evaluation of Polynomials << Part I In this post, we recall the notion of a polynomial, and explain the notion of “blind evaluation” […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part I: Homomorphic Hidings Constructions of zk-SNARKs involve a careful combination of several ingredients; fully understanding how these ingredients all work together can take […] Tags: cryptography, explainers, zkSNARKs An Update on Integrating Zcash on Ethereum (ZoE) Members of the Ethereum R&D team and the Zcash Company are collaborating on a research project addressing the combination of […] Tags: Ethereum, smart contracts, zkSNARKs How Transactions Between Shielded Addresses Work In ‘Anatomy of A Zcash Transaction’ we gave a general overview of Zcash Transactions. The purpose of this post is […] Tags: explainers, privacy, transactions, zkSNARKs 1 (current)2
Explaining SNARKs Part III: The Knowledge of Coefficient Test and Assumption << Part II In Part II, we saw how Alice can blindly evaluate the hiding :math:`E(P(s))` of her polynomial :math:`P` […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part II: Blind Evaluation of Polynomials << Part I In this post, we recall the notion of a polynomial, and explain the notion of “blind evaluation” […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part I: Homomorphic Hidings Constructions of zk-SNARKs involve a careful combination of several ingredients; fully understanding how these ingredients all work together can take […] Tags: cryptography, explainers, zkSNARKs An Update on Integrating Zcash on Ethereum (ZoE) Members of the Ethereum R&D team and the Zcash Company are collaborating on a research project addressing the combination of […] Tags: Ethereum, smart contracts, zkSNARKs How Transactions Between Shielded Addresses Work In ‘Anatomy of A Zcash Transaction’ we gave a general overview of Zcash Transactions. The purpose of this post is […] Tags: explainers, privacy, transactions, zkSNARKs 1 (current)2
Explaining SNARKs Part II: Blind Evaluation of Polynomials << Part I In this post, we recall the notion of a polynomial, and explain the notion of “blind evaluation” […] Tags: cryptography, explainers, zkSNARKs Explaining SNARKs Part I: Homomorphic Hidings Constructions of zk-SNARKs involve a careful combination of several ingredients; fully understanding how these ingredients all work together can take […] Tags: cryptography, explainers, zkSNARKs An Update on Integrating Zcash on Ethereum (ZoE) Members of the Ethereum R&D team and the Zcash Company are collaborating on a research project addressing the combination of […] Tags: Ethereum, smart contracts, zkSNARKs How Transactions Between Shielded Addresses Work In ‘Anatomy of A Zcash Transaction’ we gave a general overview of Zcash Transactions. The purpose of this post is […] Tags: explainers, privacy, transactions, zkSNARKs 1 (current)2
Explaining SNARKs Part I: Homomorphic Hidings Constructions of zk-SNARKs involve a careful combination of several ingredients; fully understanding how these ingredients all work together can take […] Tags: cryptography, explainers, zkSNARKs An Update on Integrating Zcash on Ethereum (ZoE) Members of the Ethereum R&D team and the Zcash Company are collaborating on a research project addressing the combination of […] Tags: Ethereum, smart contracts, zkSNARKs How Transactions Between Shielded Addresses Work In ‘Anatomy of A Zcash Transaction’ we gave a general overview of Zcash Transactions. The purpose of this post is […] Tags: explainers, privacy, transactions, zkSNARKs 1 (current)2
An Update on Integrating Zcash on Ethereum (ZoE) Members of the Ethereum R&D team and the Zcash Company are collaborating on a research project addressing the combination of […] Tags: Ethereum, smart contracts, zkSNARKs How Transactions Between Shielded Addresses Work In ‘Anatomy of A Zcash Transaction’ we gave a general overview of Zcash Transactions. The purpose of this post is […] Tags: explainers, privacy, transactions, zkSNARKs 1 (current)2
How Transactions Between Shielded Addresses Work In ‘Anatomy of A Zcash Transaction’ we gave a general overview of Zcash Transactions. The purpose of this post is […] Tags: explainers, privacy, transactions, zkSNARKs