Pairing-friendly curves with minimal security loss by Cheon's algorithm

Cheol Min Park; Hyang Sook Lee

doi:10.4218/etrij.11.0210.0338

Pairing-friendly curves with minimal security loss by Cheon's algorithm

Cheol Min Park, Hyang Sook Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In ICISC 2007, Comuta and others showed that among the methods for constructing pairing-friendly curves, those using cyclotomic polynomials, that is, the Brezing-Weng method and the Freeman-Scott-Teske method, are affected by Cheon's algorithm. This paper proposes a method for searching parameters of pairing-friendly elliptic curves that induces minimal security loss by Cheon's algorithm. We also provide a sample set of parameters of BN-curves, FST-curves, and KSScurves for pairing-based cryptography.

Original language	English
Pages (from-to)	656-659
Number of pages	4
Journal	ETRI Journal
Volume	33
Issue number	4
DOIs	https://doi.org/10.4218/etrij.11.0210.0338
State	Published - Aug 2011

Keywords

Cheon's algorithm
Cyclotomic polynomial
Pairing-friendly elliptic curve

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abstract = "In ICISC 2007, Comuta and others showed that among the methods for constructing pairing-friendly curves, those using cyclotomic polynomials, that is, the Brezing-Weng method and the Freeman-Scott-Teske method, are affected by Cheon's algorithm. This paper proposes a method for searching parameters of pairing-friendly elliptic curves that induces minimal security loss by Cheon's algorithm. We also provide a sample set of parameters of BN-curves, FST-curves, and KSScurves for pairing-based cryptography.",

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AB - In ICISC 2007, Comuta and others showed that among the methods for constructing pairing-friendly curves, those using cyclotomic polynomials, that is, the Brezing-Weng method and the Freeman-Scott-Teske method, are affected by Cheon's algorithm. This paper proposes a method for searching parameters of pairing-friendly elliptic curves that induces minimal security loss by Cheon's algorithm. We also provide a sample set of parameters of BN-curves, FST-curves, and KSScurves for pairing-based cryptography.

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Pairing-friendly curves with minimal security loss by Cheon's algorithm

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Keywords

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