Hüseyin Hışıl, “Jacobian Coordinates on Genus 2 Curves”, 03 Aralık 2014, (Yeni) Bilgisayar Ağları Laboratuvarı

Bilgisayar Mühendisliği Bölümü Semineri #41:

	Başlık:	Jacobian Coordinates on Genus 2 Curves
	Konuşmacı:	Hüseyin Hışıl, Yaşar Üniversitesi
	Tarih:	3 Aralık 2014, Çarşamba
	Saat:	17:00-17:30
	Yer:	Bilgisayar Ağları Laboratuvarı (Yeni bina B2. kat)
	Sunum Dili:	İngilizce

Abstract: This talk presents a new projective coordinate system and new explicit algorithms which together boost the speed of arithmetic in the divisor class group of genus 2 curves. The proposed formulas generalise the use of Jacobian coordinates on elliptic curves, and their application improves the speed of performing cryptographic scalar multiplications in Jacobians of genus 2 curves over prime fields by an approximate factor of 1.25x. For example, on a single core of an Intel Core i7-3770M (Ivy Bridge), we show that replacing the previous best formulas with our new set improves the cost of generic scalar multiplications from 243,000 to 195,000 cycles, and drops the cost of specialised GLV-style scalar multiplications from 166,000 to 129,000 cycles.