Cryptographic Schemes Based on Elliptic Curves over the Ring Zp[i]

@inproceedings{Kumar2016CryptographicSB,
  title={Cryptographic Schemes Based on Elliptic Curves over the Ring Zp[i]},
  author={Manoj Kumar and Pratik J. Gupta},
  year={2016}
}
Elliptic Curve Cryptography recently gained a lot of attention in industry. The principal attraction of ECC compared to RSA is that it offers equal security for a smaller key size. The present paper includes the study of two elliptic curve and defined over the ring where . After showing isomorphism between and , we define a composition operation (in the form of a mapping) on their union set. Then we have discussed our proposed cryptographic schemes based on the elliptic curve . We also… CONTINUE READING

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