IEICE SEARCH SYSTEM

Keyword : scalar multiplication

Scalar Multiplication on Kummer Surface Revisited Qiping LIN Fangguo ZHANG
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2012/01/01 Vol. E95-A No. 1 pp. 410-413 Type of Manuscript: LETTER Category: Cryptography and Information Security Keyword: Kummer surface, scalar multiplication, genus 2 curves, Euclidean addition chains,
	Summary \| Full Text:PDF (86.5KB)

Scalar Multiplication on Pairing Friendly Elliptic Curves Naoki KANAYAMA Tadanori TERUYA Eiji OKAMOTO
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2011/06/01 Vol. E94-A No. 6 pp. 1285-1292 Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications) Category: Keyword: scalar multiplication, Ate_i pairing, optimal pairing, endomorphism,
	Summary \| Full Text:PDF (324KB)

Sole Inversion Precomputation for Elliptic Curve Scalar Multiplications Erik DAHMEN Katsuyuki OKEYA
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2010/06/01 Vol. E93-A No. 6 pp. 1140-1147 Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications) Category: Cryptography and Information Security Keyword: affine coordinates, elliptic curve cryptosystem, precomputation, scalar multiplication,
	Summary \| Full Text:PDF (373.1KB)

Scalar Multiplication Using Frobenius Expansion over Twisted Elliptic Curve for Ate Pairing Based Cryptography Yasuyuki NOGAMI Yumi SAKEMI Takumi OKIMOTO Kenta NEKADO Masataka AKANE Yoshitaka MORIKAWA
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2009/01/01 Vol. E92-A No. 1 pp. 182-189 Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security) Category: Mathematics Keyword: Ate pairing, BN curve, scalar multiplication, Frobenius mapping, twisted subfield computation,
	Summary \| Full Text:PDF (573.4KB)

A New Type of Fast Endomorphisms on Jacobians of Hyperelliptic Curves and Their Cryptographic Application Katsuyuki TAKASHIMA
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2006/01/01 Vol. E89-A No. 1 pp. 124-133 Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security) Category: Elliptic Curve Cryptography Keyword: elliptic curve cryptography, hyperelliptic curve cryptography, scalar multiplication, GLV method, real multiplication,
	Summary \| Full Text:PDF (194.4KB)

Efficient Hyperelliptic Curve Cryptosystems Using Theta Divisors Masanobu KATAGI Toru AKISHITA Izuru KITAMURA Tsuyoshi TAKAGI
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2006/01/01 Vol. E89-A No. 1 pp. 151-160 Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security) Category: Elliptic Curve Cryptography Keyword: hyperelliptic curve cryptosystem, scalar multiplication, theta divisor, window method,
	Summary \| Full Text:PDF (289.6KB)

Refined Computations for Points of the Form 2^kP Based on Montgomery Trick Daisuke ADACHI Tomio HIRATA
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2006/01/01 Vol. E89-A No. 1 pp. 334-339 Type of Manuscript: LETTER Category: Information Security Keyword: scalar multiplication, elliptic curve arithmetic, Montgomery trick, window method,
	Summary \| Full Text:PDF (102.8KB)

Fast Elliptic Curve Multiplications Resistant against Side Channel Attacks Tetsuya IZU Tsuyoshi TAKAGI
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2005/01/01 Vol. E88-A No. 1 pp. 161-171 Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security) Category: Tamper-Resistance Keyword: elliptic curve cryptosystems (ECC), side channel attacks, scalar multiplication, SIMD operation,
	Summary \| Full Text:PDF (203.5KB)

Efficient Scalar Multiplication on Montgomery-Form Elliptic Curves Yuichi FUTA Motoji OHMORI
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2004/08/01 Vol. E87-A No. 8 pp. 2126-2136 Type of Manuscript: PAPER Category: Information Security Keyword: elliptic curve, Montgomery-form elliptic curve, scalar multiplication, fixed point,
	Summary \| Full Text:PDF (502.6KB)

Fast Elliptic Curve Multiplications with SIMD Operations Tetsuya IZU Tsuyoshi TAKAGI
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2004/01/01 Vol. E87-A No. 1 pp. 85-93 Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security) Category: Asymmetric Cipher Keyword: Elliptic Curve Cryptosystems (ECC), scalar multiplication, window method, SIMD operations, side channel attacks,
	Summary \| Full Text:PDF (289.9KB)

An Efficient Representation of Scalars for Simultaneous Elliptic Scalar Multiplication Yasuyuki SAKAI Kouichi SAKURAI
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2003/05/01 Vol. E86-A No. 5 pp. 1135-1146 Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications) Category: Keyword: elliptic curve cryptosystems, scalar multiplication,
	Summary \| Full Text:PDF (280.5KB)

Efficient τ-Adic Sliding Window Method on Elliptic Curve Cryptosystems Hiroaki OGURO Tetsutaro KOBAYASHI
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2003/01/01 Vol. E86-A No. 1 pp. 113-120 Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security) Category: Asymmetric Ciphers Keyword: elliptic curve cryptosystem, scalar multiplication, τ-adic sliding window method, precomputation, fast implementation,
	Summary \| Full Text:PDF (883.3KB)

Speeding Up Elliptic Scalar Multiplication Using Multidoubling Yasuyuki SAKAI Kouichi SAKURAI
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2002/05/01 Vol. E85-A No. 5 pp. 1075-1083 Type of Manuscript: Special Section LETTER (Special Section on Discrete Mathematics and Its Applications) Category: Keyword: elliptic curve cryptosystem, scalar multiplication, Montgomery form, multidoubling, fast implementation,
	Summary \| Full Text:PDF (262.5KB)

Computing Short Lucas Chains for Elliptic Curve Cryptosystems Yukio TSURUOKA
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2001/05/01 Vol. E84-A No. 5 pp. 1227-1233 Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications) Category: Keyword: Lucas chains, addition chains, scalar multiplication, elliptic curves,
	Summary \| Full Text:PDF (202.9KB)

Fast Computation over Elliptic Curves E(F_qⁿ) Based on Optimal Addition Sequences Yukio TSURUOKA Kenji KOYAMA
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2001/01/01 Vol. E84-A No. 1 pp. 114-119 Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security) Category: Keyword: elliptic curves, scalar multiplication, Frobenius map, addition chains,
	Summary \| Full Text:PDF (355.9KB)

Efficient Scalar Multiplications on Elliptic Curves with Direct Computations of Several Doublings Yasuyuki SAKAI Kouichi SAKURAI
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2001/01/01 Vol. E84-A No. 1 pp. 120-129 Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security) Category: Keyword: elliptic curve cryptosystem, scalar multiplication, window method, coordinate system, implementation,
	Summary \| Full Text:PDF (251.1KB)

Base-φ Method for Elliptic Curves over OEF Tetsutaro KOBAYASHI
Publication: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Publication Date: 2000/04/20 Vol. E83-A No. 4 pp. 679-686 Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications) Category: Keyword: elliptic curve cryptosystem, scalar multiplication, OEF, finite field, Frobenius map, table reference method,
	Summary \| Full Text:PDF (289.2KB)