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Add references for BLS and BN curves.
Signed-off-by: Daira Hopwood <daira@jacaranda.org>
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@ -6220,8 +6220,8 @@ Let $\ParamG{b} := 3$.
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(\hairspace $\ParamG{q}$ and $\ParamG{r}$ are prime.)
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Let $\GroupG{1}$ be the group of points on a Barreto--Naehrig curve $\CurveG{1}$ over
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$\GF{\ParamG{q}}$ with equation $y^2 = x^3 + \ParamG{b}$.
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Let $\GroupG{1}$ be the group of points on a Barreto--Naehrig (\cite{BN2005})
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curve $\CurveG{1}$ over $\GF{\ParamG{q}}$ with equation $y^2 = x^3 + \ParamG{b}$.
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This curve has embedding degree 12 with respect to $\ParamG{r}$.
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Let $\GroupG{2}$ be the subgroup of order $r$ in the sextic twist $\CurveG{2}$ of
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@ -6386,8 +6386,8 @@ Let $\ParamS{b} := 4$.
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(\hairspace $\ParamS{q}$ and $\ParamS{r}$ are prime.)
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Let $\GroupS{1}$ be the group of points on a Barreto--Lynn--Scott curve $\CurveS{1}$ over
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$\GF{\ParamS{q}}$ with equation $y^2 = x^3 + \ParamS{b}$.
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Let $\GroupS{1}$ be the group of points on a Barreto--Lynn--Scott (\cite{BLS2002})
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curve $\CurveS{1}$ over $\GF{\ParamS{q}}$ with equation $y^2 = x^3 + \ParamS{b}$.
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This curve has embedding degree 12 with respect to $\ParamS{r}$.
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Let $\GroupS{2}$ be the subgroup of order $\ParamS{r}$ in the sextic twist $\CurveS{2}$ of
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@ -8855,6 +8855,7 @@ found by Brian Warner.
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\item Specify support for \cite{BIP-111} (the \texttt{NODE\_BLOOM} service bit)
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in network protocol version $170004$.
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\item Give references \cite{Vercauter2009} and \cite{AKLGL2010} for the optimal ate pairing.
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\item Give references for BLS \cite{BLS2002} and BN \cite{BN2005} curves.
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\item Define $\KASproutDerivePublic$ for $\KASproutCurve$.
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\item Caveat the claim about \noteTraceabilitySet in \crossref{overview} and link to
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\cite{Peterson2017} and \cite{Quesnelle2017}.
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@ -75,6 +75,26 @@ Lecture Notes in Computer Science; Springer, 2013.},
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Last revised September~12, 2011.}
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}
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@misc{BLS2002,
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presort={BLS2002},
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author={Paulo Barreto and Ben Lynn and Michael Scott},
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title={Constructing {E}lliptic {C}urves with {P}rescribed {E}mbedding {D}egrees},
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url={https://eprint.iacr.org/2002/088},
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urldate={2018-04-20},
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howpublished={Cryptology ePrint Archive: Report 2002/088.
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Last revised February~22, 2005.}
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}
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@misc{BN2005,
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presort={BN2005},
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author={Paulo Barreto and Michael Naehrig},
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title={Pairing-{F}riendly {E}lliptic {C}urves of {P}rime {O}rder},
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url={https://eprint.iacr.org/2005/133},
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urldate={2018-04-20},
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howpublished={Cryptology ePrint Archive: Report 2005/133.
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Last revised February~28, 2006.}
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}
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@misc{Vercauter2009,
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presort={Vercauter2009},
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author={Frederik Vercauteren},
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