Pairing For Elliptic Curves With Embedding Degree 1 Defined Over Prime Order Fields
Journal Title: Acta Technica Napocensis- Electronica-Telecomunicatii (Electronics and Telecommunications) - Year 2012, Vol 53, Issue 1
Abstract
In the last years, prime order pairing-based cryptography has received much attention. The embedding degree 1 is very appealing because the computations can be performed without any extension fields, but the efficiency parameter and this particular value of the embedding degree imposes some limits about the possible curves. This paper presents an analysis of the existing algorithms for constructing such curves and how they are related to the concept of pairing friendly. The original contribution of this paper consists in the proposal of two new algorithms. Their results are analyzed from the efficiency and computational point of view. In addition, it is presented the results of pairing implementation in Java language for the curves generated with the successful algorithm.
Authors and Affiliations
Bogdan TUDOR
Keywords
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