A Novel Proof on Weil Pairing

Sutirtha Sanyal

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Paper 2013/285

A Novel Proof on Weil Pairing

Sutirtha Sanyal

Abstract

In this paper we will prove a basic property of weil pairing which helps in evaluating its value. We will show that the weil pairing value as computed from the definition is equivalent with the ratio formula based on the miller function. We prove a novel theorem (Theorem 2) and use it to establish the equivalence. We further validate our claims with actual random examples.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Published elsewhere. Unknown status
Keywords: Elliptic Curve Cryptography Weil Pairing
Contact author(s): ssanyal77 @ gmail com
History: 2014-08-11: last of 3 revisions; 2013-05-22: received; See all versions
Short URL: https://ia.cr/2013/285
License: CC BY

BibTeX

@misc{cryptoeprint:2013/285,
      author = {Sutirtha Sanyal},
      title = {A Novel Proof on Weil Pairing},
      howpublished = {Cryptology ePrint Archive, Paper 2013/285},
      year = {2013},
      note = {\url{https://eprint.iacr.org/2013/285}},
      url = {https://eprint.iacr.org/2013/285}
}