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fix no.16
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Yumi Sakemi authored and Yumi Sakemi committed Jul 12, 2021
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4 changes: 2 additions & 2 deletions draft-irtf-cfrg-pairing-friendly-curves-10.xml
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Expand Up @@ -2061,8 +2061,8 @@ It takes A = (A[1], A[2]), B = (B[1], B[2]) in G_2, and P = ((P[1], P[2])) in G_
return (l * (P[1] -A[1]) + A[2] -P[2]);
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<t>When implementing the line function, implementers should consider the isomorphism of E and its twist curve E' so that one can reduce the computational cost of operations in G_2 <xref target="CLN09" format="default"/><xref target="KIK17" format="default"/>. We note that Line_function does not consider such an isomorphism.</t>
<t>The computation of the optimal Ate pairing uses the Frobenius map.
The p-power Frobenius map pi for a point Q = (x, y) over E' is pi(p, Q) = (x^p, y^p).</t>
<t>The computation of the optimal Ate pairing uses the Frobenius endomorphism.
The p-power Frobenius endomorphism pi for a point Q = (x, y) over E' is pi(p, Q) = (x^p, y^p).</t>
<section anchor="optimal-ate-pairings-over-barreto-naehrig-curves" numbered="true" toc="default">
<name>Optimal Ate Pairings over Barreto-Naehrig Curves</name>
<t>Let c = 6 * t + 2 for a parameter t and c_0, c_1, ... , c_L in {-1,0,1} such that the sum of c_i * 2^i (i = 0, 1, ..., L) equals c.</t>
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