Knapsack Cryptosystem on Elliptic Curves

Koichiro Noro; Kunikatsu Kobayashi

Paper 2009/091 Original: eprint.iacr.org/2009/091 ↗

Knapsack Cryptosystem on Elliptic Curves

Koichiro Noro

Kunikatsu Kobayashi

Abstract

The LLL algorithm is strong algorithm that decrypts the additional type Knapsack cryptosystem. However, the LLL algorithm is not applicable in the addition in the group that rational points of elliptic curves on finite fields do. Therefore, we think the Knapsack cryptosystem constructed on elliptic curves. By using the pairing for the decryption, it is shown to be able to make the computational complexity of the decryption a polynomial time by making the decryption function by the pairing values.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint.
History: 2009-02-24: last updated; 2009-02-24: published
Short URL: https://ia.cr/2009/091
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2009/091,
      author = {Koichiro Noro and Kunikatsu Kobayashi},
      title = {Knapsack Cryptosystem on Elliptic Curves},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/091},
      year = {2009},
      url = {https://eprint.iacr.org/2009/091}
}