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Implementation of Elliptic Curve25519 in Cryptography

In: Theorizing STEM Education in the 21st Century

Author

Listed:
  • Intan Muchtadi-Alamsyah
  • Yanuar Bhakti Wira Tama

Abstract

Bernstein's design implementation of elliptic Curve25519 in key exchange is claimed to be highly secure and efficient. This curve is, for example, used in the key exchange scheme of TextSecure for Instant Messaging. In this paper, we present an implementation of elliptic Curve25519 in the simplified Elliptic Curve Integrated Encryption Scheme, thus showing that elliptic Curve25519 can also serve other purposes than key exchange. The curve is in Montgomery form, which makes it possible to use Montgomery ladder. Point compression, point decompression, encryption, and decryption algorithms are presented for the simplified Elliptic Curve Integrated Encryption Scheme.

Suggested Citation

  • Intan Muchtadi-Alamsyah & Yanuar Bhakti Wira Tama, 2020. "Implementation of Elliptic Curve25519 in Cryptography," Chapters, in: Kehdinga George Fomunyam (ed.), Theorizing STEM Education in the 21st Century, IntechOpen.
    • Handle: RePEc:ito:pchaps:197305
    DOI: 10.5772/intechopen.88614
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    More about this item

    Keywords

    elliptic curve; cryptography; Montgomery ladder; integrated encryption scheme;
    All these keywords.

    JEL classification:

    • I23 - Health, Education, and Welfare - - Education - - - Higher Education; Research Institutions

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