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Mathematics behind the Zcash

  • Among all the new developed cryptocurrencies, Zcash comes out to be the strongest cryptocurrency providing both transparency and anonymity to the transactions and its users by deploying the strong mathematics of zk-SNARKs. We discussed the zero knowledge proofs as a building block for providing the functionality to zk-SNARKs. It offers schnorr protocol which is further used in Zcash transactions where the validation of sent transaction is proved by cryptographic proof. Further, we deploy zk-SNARKs following common reference string that allows sender to prove that she knows a secret such that the proof is succinct, can be verified and does not leak the secret. Non-malleability, small proofs and effective verification make zk-SNARKs a classic tool in Zcash. We deal with NP problems therefore we have considered the elliptic curve cryptography to provide the security. Lastly, we explain Zcash transaction, the corresponding transaction completely hides the sender, receiver and amount of transaction using zero knowledge proof.

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Metadaten
Author:Nomana Ayesha Majeed
DOI:https://doi.org/10.48446/opus-11863
ISSN:1437-7624
Parent Title (German):Konferenzband zum Scientific Track der Blockchain Autumn School 2020
Publisher:Hochschule Mittweida
Place of publication:Mittweida
Document Type:Conference Proceeding
Language:English
Year of Completion:2020
Granting Institution:Hochschule Mittweida
Release Date:2021/01/27
Tag:Cryptocurrencies; zero knowledge proof; zk-SNARKS
GND Keyword:Blockchain
Page Number:8
First Page:34
Last Page:41
Open Access:Frei zugänglich
Licence (German):License LogoEs gilt das UrhG