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- W1960466774 abstract "Recently Tate pairing and its variations are attracted in cryptography. Their operations consist of a main iteration loop and a final exponentiation. The final exponentiation is necessary for generating a unique value of the bilinear pairing in the extension fields. The speed of the main loop has become fast by the recent improvements, e.g., the Duursma-Lee algorithm and η T pairing. In this paper we discuss how to enhance the speed of the final exponentiation of the η T pairing in the extension field ({mathbb F}_{3^{6n}}). Indeed, we propose some efficient algorithms using the torus (T_2({mathbb F}_{3^{3n}})) that can efficiently compute an inversion and a powering by 3 n + 1. Consequently, the total processing cost of computing the η T pairing can be reduced by 16% for n = 97." @default.
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- W1960466774 date "2007-06-05" @default.
- W1960466774 modified "2023-09-23" @default.
- W1960466774 title "Some Efficient Algorithms for the Final Exponentiation of η T Pairing" @default.
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- W1960466774 doi "https://doi.org/10.1007/978-3-540-72163-5_20" @default.
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