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Simple and exact formula for minimum loop length in Ate i pairing based on Brezing-Weng curves

Title
Simple and exact formula for minimum loop length in Ate i pairing based on Brezing-Weng curves
Authors
Hong H.Lee E.Lee H.-S.Park C.-M.
Ewha Authors
이향숙이은정
SCOPUS Author ID
이향숙scopus
Issue Date
2013
Journal Title
Designs, Codes, and Cryptography
ISSN
0925-1022JCR Link
Citation
vol. 67, no. 2, pp. 271 - 292
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We provide a simple and exact formula for the minimum Miller loop length in Ate i pairing based on Brezing-Weng curves, in terms of the involved parameters, under a mild condition on the parameters. It will also be shown that almost all cryptographically useful/meaningful parameters satisfy the mild condition. Hence the simple and exact formula is valid for them. It will also turn out that the formula depends only on essentially two parameters, providing freedom to choose the other parameters to address the design issues other than minimizing the loop length. © 2012 Springer Science+Business Media, LLC.
DOI
10.1007/s10623-011-9605-y
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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