Low-cost addition-subtraction sequences for the final exponentiation in pairings

Juan E. Guzmán-Trampe, Nareli Cruz-Cortés, Luis J. Dominguez Perez, Daniel Ortiz-Arroyo, Francisco Rodríguez-Henríquez

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, we address the problem of finding low cost addition-subtraction sequences for situations where a doubling step is significantly cheaper than a non-doubling one. One application of this setting appears in the computation of the final exponentiation step of the reduced Tate pairing defined on ordinary elliptic curves. In particular, we report efficient addition-subtraction sequences for the Kachisa-Schaefer-Scott family of pairing-friendly elliptic curves, whose parameters involve computing the ulti-exponentiation of relatively large sequences of exponents with a size of up to 26 bits. © 2014 Elsevier Inc. All rights reserved.
Original languageAmerican English
Pages (from-to)1-17
Number of pages17
JournalFinite Fields and their Applications
DOIs
StatePublished - 1 Jan 2014

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Exponentiation
Subtraction
Pairing
Elliptic Curves
Tate Pairing
Costs
Doubling
Exponent
Computing

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Guzmán-Trampe, Juan E. ; Cruz-Cortés, Nareli ; Dominguez Perez, Luis J. ; Ortiz-Arroyo, Daniel ; Rodríguez-Henríquez, Francisco. / Low-cost addition-subtraction sequences for the final exponentiation in pairings. In: Finite Fields and their Applications. 2014 ; pp. 1-17.
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Low-cost addition-subtraction sequences for the final exponentiation in pairings. / Guzmán-Trampe, Juan E.; Cruz-Cortés, Nareli; Dominguez Perez, Luis J.; Ortiz-Arroyo, Daniel; Rodríguez-Henríquez, Francisco.

In: Finite Fields and their Applications, 01.01.2014, p. 1-17.

Research output: Contribution to journalArticle

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