Abstract
The omega pairing is proposed as a variant of Weil pairing on special elliptic curves using automorphisms. In this paper, we generalize the omega pairing to general hyperelliptic curves and use the pairing lattice to construct the optimal omega pairing which has short Miller loop length and simple final exponentiation. On some special hyperelliptic curves, the optimal omega pairing could be super-optimal.
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CITATION STYLE
Chen, S., Wang, K., Lin, D., & Wang, T. (2014). Omega pairing on hyperelliptic curves. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8567, pp. 167–184). Springer Verlag. https://doi.org/10.1007/978-3-319-12087-4_11
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