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探索橢圓曲線對

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本文翻譯自 Exploring Elliptic Curve Pairings by Vitalik Buterin。

tl; dr: 這篇文章從橢圓曲線的定義出發，構造一個雙線性的映射函數，直觀意義上這個函數是將兩個數學物件合成再映射到新的元素上，因此下文以「配對」稱之。這樣的函數構造出了橢圓曲線對，藉著它良好的數學性質，我們得以在與傳統橢圓曲線相似的安全強度下，做更多複雜的運用，包含了以太坊的許多基礎設施都是源自於此。文中介紹了許多抽象代數，但側重在數學理論，實作部分另有文章介紹。
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