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The GLV method allows to improve scalar multiplication on an elliptic curve E/Fqwith an efficiently computable endomorphism Φ : E → E over Fq. For points in a subgroup of large prime order r this requires decomposition of scalar k = k0+ k1λ mod r, where Φ acts on the subgroup of order r as multiplication by λ ∊ Frand k0, k1are integers O(√r) . In this note we consider the case when λ is of the form...
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