IJPAM: Volume 105, No. 2 (2015)

EFFICIENT SIGNATURE SCHEME FROM
SELF-PAIRING ON ELLIPTIC CURVES

Rajeev Kumar$^1$, S.K. Pal$^2$, Arvind$^3$
$^1$Dyal Singh College
University of Delhi
Delhi, INDIA
$^2$DRDO, Delhi, INDIA
$^3$Hansraj College
University of Delhi
Delhi, INDIA


Abstract. A Self-pairing $e_s (P,P)$ is a special subclass of bilinear pairing where both input points in a group are equal. Self-pairings have some interesting applications in cryptographic scheme and protocols. Recently some novel methods for constructing self-pairings on supersingular elliptic curves have been proposed. In this paper we first give the construction of self-pairings on some supersingular elliptic curves. We will show that the proposed self pairings are efficient than the general pairings on the corresponding curves. Secondly, we present a digital signature scheme from self-pairing on elliptic curves. We also show that the signature scheme from self-pairing is more efficient than the previous one.

Received: August 16, 2015

AMS Subject Classification: 94A60

Key Words and Phrases: elliptic curves, self-pairing, weil pairing, tate pairing, pairing-based cryptography

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DOI: 10.12732/ijpam.v105i2.6 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 105
Issue: 2
Pages: 187 - 200


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