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- W2572552014 abstract "Pairing based cryptography is considered as the next generation of security for which it attracts many researcher to work on faster and efficient pairing to make it practical. Among the several challenges of efficient pairing; efficient scalar multiplication of rational point defined over extension field of degree k ≥ 12 is important. However, there exists isomorphic rational point group defined over relatively lower degree extension field. Exploiting such property, this paper has showed a mapping technique between isomorphic rational point groups in the context of Ate-based pairing with Kachisa-Schaefer-Scott (KSS) pairing friendly curve of embedding degree k = 18. In the case of KSS curve, there exists sub-field sextic twisted curve that includes sextic twisted isomorphic rational point group defined over F <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p3</sub> . This paper has showed the mapping procedure from certain F <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p18</sub> rational point group to its sub-field isomorphic rational point group in F <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p3</sub> and vice versa. This paper has also showed that scalar multiplication is about 20 times faster after applying the proposed mapping which in-turns resembles that the impact of this mapping will greatly enhance the pairing operation in KSS curve." @default.
- W2572552014 created "2017-01-26" @default.
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- W2572552014 date "2016-11-01" @default.
- W2572552014 modified "2023-09-26" @default.
- W2572552014 title "Isomorphic Mapping for Ate-Based Pairing over KSS Curve of Embedding Degree 18" @default.
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- W2572552014 doi "https://doi.org/10.1109/candar.2016.0113" @default.
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