TY - CHAP U1 - Konferenzveröffentlichung A1 - Majeed, Nomana Ayesha T1 - Mathematics behind the Zcash T2 - Konferenzband zum Scientific Track der Blockchain Autumn School 2020 N2 - 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. KW - Blockchain KW - Cryptocurrencies KW - zk-SNARKS KW - zero knowledge proof Y1 - 2020 SN - 1437-7624 SS - 1437-7624 U6 - https://doi.org/10.48446/opus-11863 DO - https://doi.org/10.48446/opus-11863 SP - 34 EP - 41 S1 - 8 PB - Hochschule Mittweida CY - Mittweida ER -