This paper studies the problem of Zero-Knowledge Protocol (ZKP) and elliptic curve cryptographic implementation in a computationally limited environment, such as, the smart cards, using Java Card. Besides that, it is explained how the zero-knowledge protocol was selected to implement it on a smart card and how the benchmarking was conducted to select this protocol. The paper also shows a theoretical development to implement the ZKP protocol using elliptic curve cryptography. Keywords: Authentication; Zero-knowledge; Cryptography; Elliptic Curve; Java card; Smart cards

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