Keyword : scalar multiplication


Low Latency 256-bit $mathbb{F}_p$ ECDSA Signature Generation Crypto Processor
Shotaro SUGIYAMA Hiromitsu AWANO Makoto IKEDA 
Publication:   
Publication Date: 2018/12/01
Vol. E101-A  No. 12 ; pp. 2290-2296
Type of Manuscript:  Special Section PAPER (Special Section on VLSI Design and CAD Algorithms)
Category: 
Keyword: 
ECDSAV2X communicationHardware securityASICscalar multiplication
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An Improvement of Scalar Multiplication by Skew Frobenius Map with Multi-Scalar Multiplication for KSS Curve
Md. Al-Amin KHANDAKER Yasuyuki NOGAMI 
Publication:   
Publication Date: 2017/09/01
Vol. E100-A  No. 9 ; pp. 1838-1845
Type of Manuscript:  Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
scalar multiplicationskew Frobenius mappingKSS curve
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Implementation of an Elliptic Curve Scalar Multiplication Method Using Division Polynomials
Naoki KANAYAMA Yang LIU Eiji OKAMOTO Kazutaka SAITO Tadanori TERUYA Shigenori UCHIYAMA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2014/01/01
Vol. E97-A  No. 1 ; pp. 300-302
Type of Manuscript:  Special Section LETTER (Special Section on Cryptography and Information Security)
Category: 
Keyword: 
elliptic curvedivision polynomialscalar multiplicationelliptic net
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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 surfacescalar multiplicationgenus 2 curvesEuclidean addition chains
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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 multiplicationAtei pairingoptimal pairingendomorphism
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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 coordinateselliptic curve cryptosystemprecomputationscalar multiplication
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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 pairingBN curvescalar multiplicationFrobenius mappingtwisted subfield computation
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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 cryptographyhyperelliptic curve cryptographyscalar multiplicationGLV methodreal multiplication
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Refined Computations for Points of the Form 2kP 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 multiplicationelliptic curve arithmeticMontgomery trickwindow method
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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 cryptosystemscalar multiplicationtheta divisorwindow method
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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 attacksscalar multiplicationSIMD operation
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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 curveMontgomery-form elliptic curvescalar multiplicationfixed point
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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 multiplicationwindow methodSIMD operationsside channel attacks
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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 cryptosystemsscalar multiplication
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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 cryptosystemscalar multiplicationτ-adic sliding window methodprecomputationfast implementation
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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 cryptosystemscalar multiplicationMontgomery formmultidoublingfast implementation
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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 chainsaddition chainsscalar multiplicationelliptic curves
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Fast Computation over Elliptic Curves E(Fqn) 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 curvesscalar multiplicationFrobenius mapaddition chains
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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 cryptosystemscalar multiplicationwindow methodcoordinate systemimplementation
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Base-φ Method for Elliptic Curves over OEF
Tetsutaro KOBAYASHI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2000/04/25
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 cryptosystemscalar multiplicationOEFfinite fieldFrobenius maptable reference method
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