A self-pairing map and its applications to cryptography

Hyang Sook Lee

doi:10.1016/S0096-3003(03)00369-2

A self-pairing map and its applications to cryptography

Hyang Sook Lee

Department of Mathematics

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

13 Scopus citations

Abstract

In this paper, we propose a bilinear pairing map on finitely generated free R-modules with rank two where R is a commutative ring with 1, and apply this pairing to elliptic curves over fields. We also verify the pairing on elliptic curves can be applicable to the current cryptographic schemes.

Original language	English
Pages (from-to)	671-678
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	151
Issue number	3
DOIs	https://doi.org/10.1016/S0096-3003(03)00369-2
State	Published - 15 Apr 2004

Bibliographical note

Funding Information:
The author was supported by grant no. R06-2002-012-0100-0 from the research program of KOSEF.

Keywords

Bilinear pairing map
Cryptography
Elliptic curves
Free modules

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10.1016/S0096-3003(03)00369-2

Cite this

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title = "A self-pairing map and its applications to cryptography",

abstract = "In this paper, we propose a bilinear pairing map on finitely generated free R-modules with rank two where R is a commutative ring with 1, and apply this pairing to elliptic curves over fields. We also verify the pairing on elliptic curves can be applicable to the current cryptographic schemes.",

keywords = "Bilinear pairing map, Cryptography, Elliptic curves, Free modules",

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N1 - Funding Information: The author was supported by grant no. R06-2002-012-0100-0 from the research program of KOSEF.

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N2 - In this paper, we propose a bilinear pairing map on finitely generated free R-modules with rank two where R is a commutative ring with 1, and apply this pairing to elliptic curves over fields. We also verify the pairing on elliptic curves can be applicable to the current cryptographic schemes.

AB - In this paper, we propose a bilinear pairing map on finitely generated free R-modules with rank two where R is a commutative ring with 1, and apply this pairing to elliptic curves over fields. We also verify the pairing on elliptic curves can be applicable to the current cryptographic schemes.

KW - Bilinear pairing map

KW - Cryptography

KW - Elliptic curves

KW - Free modules

UR - https://www.scopus.com/pages/publications/1842505330

U2 - 10.1016/S0096-3003(03)00369-2

DO - 10.1016/S0096-3003(03)00369-2

M3 - Article

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 3

ER -

A self-pairing map and its applications to cryptography

Abstract

Bibliographical note

Keywords

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