import React from "react";
import Entry from "../../components/entry";
import Link from "../../components/Link";
import { InlineMath } from "react-katex";
import { Styled } from "theme-ui";

export default ({ data, location }) => {
  return (
    <Entry data={data} location={location} title={"MNT"}>
      <Styled.h2>Miyaji-Nakabayashi-Takano curves</Styled.h2>
      <Styled.p>
        A class of pairing-friendly curves with embedding degree{" "}
        <InlineMath>{`k \\in \\{3, 4, 6\\}`}</InlineMath>. Some curves generated
        via this method can be found in the <Link to={"/mnt/"}>MNT</Link>{" "}
        category.
      </Styled.p>
      <Styled.h4>References</Styled.h4>
      <ul>
        <li>
          Atsuko Miyaji, Masaki Nakabayashi, Shunzou Takano:{" "}
          <Link to="https://dspace.jaist.ac.jp/dspace/bitstream/10119/4432/1/73-48.pdf">
            New explicit conditions of elliptic curve traces for FR-reduction
          </Link>
        </li>
      </ul>
    </Entry>
  );
};