Tate pairing for $y^{2}=x^{5}-\alpha x$ in Characteristic Five
In this paper, for the genus-$2$ hyperelliptic curve $y^{2}=x^{5} -\alpha x$ ($\alpha = \pm2$) defined over finite fields of characteristic five, we construct a distortion map explicitly, and show the map indeed gives an input for which the value of the ...
Yutaka Sueyoshi +2 more
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Non-isomorphic abelian varieties with the same arithmetic. [PDF]
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In this paper we propose three refinements to Miller’s algorithm for computing Weil/Tate Pairing. The first one is an overall improvement and achieves its optimal behavior if the binary expansion of the involved integer has more zeros.
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Revisiting subgroup membership testing on pairing-friendly curves via the Tate pairing [PDF]
In 2023, Koshelev introduced an efficient method of subgroup membership testing for a list of non-pairing-friendly curves, using at most two small Tate pairings.
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