Cryptology ePrint Archive: Report 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.

Category / Keywords: foundations / Elliptic Curve Cryptography, Weil Pairing

Date: received 15 May 2013, last revised 24 Aug 2013

Contact author: ssanyal77 at gmail com

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Version: 20130824:200003 (All versions of this report)

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