Tate and Ate pairings for y2 =x5−αx in characteristic five

DOI 機関リポジトリ 機関リポジトリ (HANDLE) HANDLE 被引用文献1件 参考文献41件

この論文をさがす

説明

In this paper, we consider the Tate and Ate pairings for the genus-2 supersingular hyperelliptic curves y2=x5−αx (α=±2) defined over finite fields of characteristic five. More precisely, we construct a distortion map explicitly, and show that the map indeed gives an input for which the value of the Tate pairing is not trivial. We next describe a computation of the Tate pairing by using the proposed distortion map. We also see that this type of curve is equipped with a simple quintuple operation on the Jacobian group, which leads to an improvement for computing the Tate pairing. We further show the Ate pairing, a variant of the Tate pairing for elliptic curves, can be applied to this curve. The Ate pairing yields an algorithm which is about 50% more efficient than the Tate pairing in this case.

収録刊行物

被引用文献 (1)*注記

もっと見る

参考文献 (41)*注記

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ