Search results for "Elliptic"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
121	Atsuko Miyaji, Masaki Nakabayashi, Shunzo Takano	Characterization of Elliptic Curve Traces under FR-Reduction.	ICISC	2000	DBLP DOI BibTeX RDF	FR-reduction, trace, elliptic curve cryptosystems, number theory
76	Katherine E. Stange	The Tate Pairing Via Elliptic Nets.	Pairing	2007	DBLP DOI BibTeX RDF	elliptic divisibility sequence, elliptic net, Miller’s algorithm, elliptic curve, Tate pairing, pairing-based cryptography
72	Souichi Okada, Naoya Torii, Kouichi Itoh, Masahiko Takenaka	Implementation of Elliptic Curve Cryptographic Coprocessor over GF(2m) on an FPGA.	CHES	2000	DBLP DOI BibTeX RDF	elliptic scalar multiplication over tex2html_wrap_inline100, IEEE P1363, Elliptic curve cryptography (ECC), multiplier, coprocessor, Koblitz curve
69	Jung Hee Cheon, Sung-Mo Park, Sangwoo Park, Daeho Kim	Two Efficient Algorithms for Arithmetic of Elliptic Curves Using Frobenius Map.	Public Key Cryptography	1998	DBLP DOI BibTeX RDF
62	Stephen Mann, Sanjeev Bedi, David Roth	The swept surface of an elliptic cylinder.	Symposium on Solid Modeling and Applications	2001	DBLP DOI BibTeX RDF
62	Neal Koblitz	Constructing Elliptic Curve Cryptosystems in Characteristic 2.	CRYPTO	1990	DBLP DOI BibTeX RDF
60	Qi Cheng 0001, Ming-Deh A. Huang	On Partial Lifting and the Elliptic Curve Discrete Logarithm Problem.	ISAAC	2004	DBLP DOI BibTeX RDF	partiallifting, Elliptic curve cryptosystem, discrete logarithm
60	Louis Goubin	A Refined Power-Analysis Attack on Elliptic Curve Cryptosystems.	Public Key Cryptography	2003	DBLP DOI BibTeX RDF	Side-channel attacks, Public-key cryptography, Elliptic curves, Differential Power Analysis (DPA), Power Analysis, Smartcards
60	Yasuyuki Sakai, Kouichi Sakurai	On the Power of Multidoubling in Speeding Up Elliptic Scalar Multiplication.	Selected Areas in Cryptography	2001	DBLP DOI BibTeX RDF	Montgomery form, Multidoubling, Elliptic curve cryptosystems, Scalar multiplication, Fast implementation
58	Kirsten Eisenträger, Kristin E. Lauter, Peter L. Montgomery	Fast Elliptic Curve Arithmetic and Improved Weil Pairing Evaluation.	CT-RSA	2003	DBLP DOI BibTeX RDF	elliptic curve arithmetic, Elliptic curve cryptosystem, scalar multiplication, pairing-based cryptosystem, ECM
56	Mathieu Ciet, Marc Joye	(Virtually) Free Randomization Techniques for Elliptic Curve Cryptography.	ICICS	2003	DBLP DOI BibTeX RDF
54	Maurice Keller, Andrew Byrne, William P. Marnane	Elliptic Curve Cryptography on FPGA for Low-Power Applications.	ACM Trans. Reconfigurable Technol. Syst.	2009	DBLP DOI BibTeX RDF	FPGA, low-power, Cryptography, elliptic curves
54	Jun Yang, Xianze Yang	Implementing Multi-party Key Exchange by Linear Combination of Elliptic Curve Points.	ISECS	2008	DBLP DOI BibTeX RDF	tripartite key agreement protocol, public key cryptography, elliptic curve, matrix, discrete logarithm problem, optimal extension field
54	Eric R. Verheul	Evidence that XTR Is More Secure than Supersingular Elliptic Curve Cryptosystems.	J. Cryptol.	2004	DBLP DOI BibTeX RDF	Decision Diffie-Hellman problem, Supersingular elliptic curves, Inverting MOV embedding, Tripartite Diffie-Hellman key exchange, Escrow, XTR
54	Tetsuya Izu, Tsuyoshi Takagi	Exceptional Procedure Attack on Elliptic Curve Cryptosystems.	Public Key Cryptography	2003	DBLP DOI BibTeX RDF	exceptional procedure attack, exceptional point, side channel attack, Elliptic curve cryptosystem (ECC), scalar multiplication
54	Yasuyuki Sakai, Kouichi Sakurai	Algorithms for Efficient Simultaneous Elliptic Scalar Multiplication with Reduced Joint Hamming Weight Representation of Scalars.	ISC	2002	DBLP DOI BibTeX RDF	Elliptic Curve Cryptosystems, Scalar Multiplication
54	Mathieu Ciet, Jean-Jacques Quisquater, Francesco Sica 0001	A Secure Family of Composite Finite Fields Suitable for Fast Implementation of Elliptic Curve Cryptography.	INDOCRYPT	2001	DBLP DOI BibTeX RDF	Weil descent, fast performance, Finite fields, elliptic curve cryptography
54	Julio César López-Hernández, Ricardo Dahab	Fast Multiplication on Elliptic Curves over GF(2m) without Precomputation.	CHES	1999	DBLP DOI BibTeX RDF	Elliptic Curves over GF(2m), Point multiplication
52	Elisavet Konstantinou, Aristides Kontogeorgis, Yannis C. Stamatiou, Christos D. Zaroliagis	Generating Prime Order Elliptic Curves: Difficulties and Efficiency Considerations.	ICISC	2004	DBLP DOI BibTeX RDF	Generation of Prime Order Elliptic Curves, Class Field Polynomials, Elliptic Curve Cryptosystems, Complex Multiplication
52	R. Balasubramanian, Neal Koblitz	The Improbability That an Elliptic Curve Has Subexponential Discrete Log Problem under the Menezes - Okamoto - Vanstone Algorithm.	J. Cryptol.	1998	DBLP DOI BibTeX RDF	Elliptic curve, Elliptic curve, Discrete logarithm, Discrete logarithm, Key words, Weil pairing, Weil pairing
52	Volker Müller 0001	Fast Multiplication on Elliptic Curves over Small Fields of Characteristic Two.	J. Cryptol.	1998	DBLP DOI BibTeX RDF	Characteristic two, Frobenius endomorphism, Characteristic two, Frobenius endomorphism, Elliptic curves, Elliptic curves, Multiplication, Multiplication, Key words, Frobenius expansion, Frobenius expansion
49	Qi Cheng 0001, Ming-Deh A. Huang	Partial Lifting and the Elliptic Curve Discrete Logarithm Problem.	Algorithmica	2006	DBLP DOI BibTeX RDF
47	Hyun Min Choi, Chun Pyo Hong, Chang Hoon Kim	High Performance Elliptic Curve Cryptographic Processor Over GF(2^163).	DELTA	2008	DBLP DOI BibTeX RDF	Cryptographic Processor, VLSI, Finite Field, Elliptic Curve Cryptosystem, Gaussian Normal Basis
47	Katsiaryna Krupchyk, Werner M. Seiler, Jukka Tuomela	Overdetermined Elliptic Systems.	Found. Comput. Math.	2006	DBLP DOI BibTeX RDF	Overdetermined system, Elliptic system, Completion, Partial differential equation, Symbol, Involution
47	Edlyn Teske	An Elliptic Curve Trapdoor System.	J. Cryptol.	2006	DBLP DOI BibTeX RDF	Weil descent, Elliptic curve cryptography, Key escrow, Isogenies, Trapdoor functions
47	Yasuyuki Sakai, Kouichi Sakurai	Simple Power Analysis on Fast Modular Reduction with NIST Recommended Elliptic Curves.	ICICS	2005	DBLP DOI BibTeX RDF	generalized Mersenne prime, unified code, elliptic curve cryptosystem, Side channel analysis, modular reduction
47	Loren D. Olson	Side-Channel Attacks in ECC: A General Technique for Varying the Parametrization of the Elliptic Curve.	CHES	2004	DBLP DOI BibTeX RDF	weighted projective curves, uniform addition formula, cryptography, ECC, side-channel attacks, Elliptic curves
47	Tae-Jun Park, Mun-Kyu Lee, Kunsoo Park	New Frobenius Expansions for Elliptic Curves with Efficient Endomorphisms.	ICISC	2002	DBLP DOI BibTeX RDF	Endomorphism, Elliptic Curve Cryptosystem, Scalar Multiplication, Frobenius Expansion
47	Mathieu Ciet, Jean-Jacques Quisquater, Francesco Sica 0001	Preventing Differential Analysis in GLV Elliptic Curve Scalar Multiplication.	CHES	2002	DBLP DOI BibTeX RDF	fast computation, Public key cryptography, differential power analysis, elliptic curve cryptosystem
47	Jean-Sébastien Coron, David M'Raïhi, Christophe Tymen	Fast Generation of Pairs (k, [k]P) for Koblitz Elliptic Curves.	Selected Areas in Cryptography	2001	DBLP DOI BibTeX RDF	binary anomalous curve, accelerated signature schemes, Elliptic curve, scalar multiplication, pseudo-random generators
47	Katsuyuki Okeya, Kunihiko Miyazaki, Kouichi Sakurai	A Fast Scalar Multiplication Method with Randomized Projective Coordinates on a Montgomery-Form Elliptic Curve Secure against Side Channel Attacks.	ICISC	2001	DBLP DOI BibTeX RDF	Montgomery Form, Randomized Projective Coordinates, Side Channel Attacks, Elliptic Curve Cryptosystem
47	Neal Koblitz	An Elliptic Curve Implementation of the Finite Field Digital Signature Algorithm.	CRYPTO	1998	DBLP DOI BibTeX RDF	Supersingular, Nonadjacent Form, Digital Signature, Elliptic Curve
47	Jerome A. Solinas	An Improved Algorithm for Arithmetic on a Family of Elliptic Curves.	CRYPTO	1997	DBLP DOI BibTeX RDF	public-key cryptography, elliptic curves, exponentiation
46	Reynald Lercier, David Lubicz, Frederik Vercauteren	Point Counting on Elliptic and Hyperelliptic Curves.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
46	Christophe Doche, Tanja Lange 0001	Arithmetic of Elliptic Curves.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
45	Yvonne Hitchcock, Paul Montague, Gary Carter, Ed Dawson	The efficiency of solving multiple discrete logarithm problems and the implications for the security of fixed elliptic curves.	Int. J. Inf. Sec.	2004	DBLP DOI BibTeX RDF	Elliptic curve discrete logarithm problem (ecdlp), Baby-step giant-step method (bsgs), Pollards rho method, Fixed elliptic curve, Precomputation
45	Christophe Doche, Thomas Icart, David R. Kohel	Efficient Scalar Multiplication by Isogeny Decompositions.	Public Key Cryptography	2006	DBLP DOI BibTeX RDF	fast arithmetic, efficiently computable isogenies, efficient tripling, ?-adic, Elliptic curve cryptography
45	Hideyo Mamiya, Atsuko Miyaji, Hiroaki Morimoto	Efficient Countermeasures against RPA, DPA, and SPA.	CHES	2004	DBLP DOI BibTeX RDF	Elliptic curve exponentiation, ZPA, RPA, DPA, SPA
43	Karl Rubin, Alice Silverberg	Using Abelian Varieties to Improve Pairing-Based Cryptography.	J. Cryptol.	2009	DBLP DOI BibTeX RDF	Abelian varieties, Compression, Elliptic curve cryptography, Elliptic curves, Pairing-based cryptography
43	Billy Bob Brumley	Left-to-Right Signed-Bit tau-Adic Representations of n Integers (Short Paper).	ICICS	2006	DBLP DOI BibTeX RDF	joint sparse form, simultaneous elliptic scalar multiplication, digital signatures, elliptic curve cryptography, Koblitz curves
43	Adam L. Young, Moti Yung	A Space Efficient Backdoor in RSA and Its Applications.	Selected Areas in Cryptography	2005	DBLP DOI BibTeX RDF	Decision Diffie-Hellman, black-box ciphers, twist on elliptic curves, RSA, elliptic curve cryptography, tamper-resistance, Diffie-Hellman, Key recovery, SETUP
42	Kimmo U. Järvinen, Jorma Skyttä	On Parallelization of High-Speed Processors for Elliptic Curve Cryptography.	IEEE Trans. Very Large Scale Integr. Syst.	2008	DBLP DOI BibTeX RDF
42	Masaaki Shirase, Yasushi Hibino	An architecture for elliptic curve cryptograph computation.	SIGARCH Comput. Archit. News	2005	DBLP DOI BibTeX RDF
42	Steven D. Galbraith, James F. McKee	Pairings on Elliptic Curves over Finite Commutative Rings.	IMACC	2005	DBLP DOI BibTeX RDF
42	S. Yu. Vernov	Interdependence Between the Laurent-Series and Elliptic Solutions of Nonintegrable Systems.	CASC	2005	DBLP DOI BibTeX RDF
42	Eric Brier, Marc Joye	Weierstraß Elliptic Curves and Side-Channel Attacks.	Public Key Cryptography	2002	DBLP DOI BibTeX RDF
42	Tetsuya Izu, Jun Kogure, Masayuki Noro, Kazuhiro Yokoyama	Parameters for Secure Elliptic Curve Cryptosystem - Improvements on Schoof's Algorithm.	Public Key Cryptography	1998	DBLP DOI BibTeX RDF
42	Atsuko Miyaji	On Ordinary Elliptic Curve Cryptosystems.	ASIACRYPT	1991	DBLP DOI BibTeX RDF
40	Steven D. Galbraith, Xibin Lin, Michael Scott	Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves.	EUROCRYPT	2009	DBLP DOI BibTeX RDF	GLV method, elliptic curves, point multiplication, isogenies
40	Keisuke Hakuta, Hisayoshi Sato, Tsuyoshi Takagi	Efficient Arithmetic on Subfield Elliptic Curves over Small Finite Fields of Odd Characteristic.	ISPEC	2008	DBLP DOI BibTeX RDF	Non-Adjacent Form (NAF), ?-adic NAF (?-NAF), ?-adic NAF (?-NAF), Elliptic Curves, Frobenius Expansions
40	Zhixiong Chen 0002, Ning Zhang, Guozhen Xiao	Pseudo-Randomness of Discrete-Log Sequences from Elliptic Curves.	Inscrypt	2007	DBLP DOI BibTeX RDF	elliptic curves, discrete logarithm, discrepancy, linear complexity, pseudo-random sequences, character sums
40	Tim Güneysu, Christof Paar, Jan Pelzl	Attacking elliptic curve cryptosystems with special-purpose hardware.	FPGA	2007	DBLP DOI BibTeX RDF	Pollard's Rho, cryptanalysis, elliptic curve cryptosystem, discrete logarithm
40	Yong Ki Lee, Ingrid Verbauwhede	A Compact Architecture for Montgomery Elliptic Curve Scalar Multiplication Processor.	WISA	2007	DBLP DOI BibTeX RDF	Compact Elliptic Curve Processor, Montgomery Scalar Multiplication
40	Aya Comuta, Mitsuru Kawazoe, Tetsuya Takahashi 0001	Pairing-Friendly Elliptic Curves with Small Security Loss by Cheon's Algorithm.	ICISC	2007	DBLP DOI BibTeX RDF	Elliptic curves, Pairing based cryptosystem
40	Robert M. Corless, Dawit Assefa	Jeffery-hamel flow with maple: : a case study of integration of elliptic functions in a cas.	ISSAC	2007	DBLP DOI BibTeX RDF	elliptic functions, integration
40	Trond Stølen Gustavsen, Kristian Ranestad	A Simple Point Counting Algorithm for Hessian Elliptic Curves in Characteristic Three.	Appl. Algebra Eng. Commun. Comput.	2006	DBLP DOI BibTeX RDF	Point counting, Cryptography, Finite field, Elliptic curve
40	Katja Schmidt-Samoa, Olivier Semay, Tsuyoshi Takagi	Analysis of Fractional Window Recoding Methods and Their Application to Elliptic Curve Cryptosystems.	IEEE Trans. Computers	2006	DBLP DOI BibTeX RDF	elliptic curve scalar multiplication, signed binary representations, Public key cryptosystems, algorithm design and analysis
40	Johannes Blömer, Martin Otto 0002, Jean-Pierre Seifert	Sign Change Fault Attacks on Elliptic Curve Cryptosystems.	FDTC	2006	DBLP DOI BibTeX RDF	elliptic curve cryptosystem, smartcards, fault attacks
40	Christophe Doche, Laurent Imbert	Extended Double-Base Number System with Applications to Elliptic Curve Cryptography.	INDOCRYPT	2006	DBLP DOI BibTeX RDF	Elliptic curve cryptography, Double-base number system
40	Friederike Brezing, Annegret Weng	Elliptic Curves Suitable for Pairing Based Cryptography.	Des. Codes Cryptogr.	2005	DBLP DOI BibTeX RDF	pairing based cryptagraphy, elliptic curves
40	David Jao, Stephen D. Miller, Ramarathnam Venkatesan	Do All Elliptic Curves of the Same Order Have the Same Difficulty of Discrete Log?	ASIACRYPT	2005	DBLP DOI BibTeX RDF	random reducibility, modular forms, L-functions, generalized Riemann hypothesis, elliptic curves, expanders, Ramanujan graphs, isogenies, rapid mixing, discrete log
40	Takakazu Satoh	On Degrees of Polynomial Interpolations Related to Elliptic Curve Cryptography.	WCC	2005	DBLP DOI BibTeX RDF	division polynomials, Elliptic curves, polynomial interpolation
40	Soonhak Kwon	Efficient Tate Pairing Computation for Elliptic Curves over Binary Fields.	ACISP	2005	DBLP DOI BibTeX RDF	supersingular elliptic curve, divisor, Tate pairing, automorphism, roots of unity
40	Massimo Giulietti	On the Extendibility of Near-MDS Elliptic Codes.	Appl. Algebra Eng. Commun. Comput.	2004	DBLP DOI BibTeX RDF	Near-MDS Codes, Elliptic Curves, Projective Spaces
40	Jun-Cheol Jeon, Kee-Young Yoo	An Evolutionary Approach to the Design of Cellular Automata Architecture for Multiplication in Elliptic Curve Cryptography over Finite Fields.	PRICAI	2004	DBLP DOI BibTeX RDF	Evolutionary Computation, Cellular Automata, Finite Fields, Elliptic Curve Cryptography, Multiplication, Irreducible Polynomial
40	Pradeep Kumar Mishra, Palash Sarkar 0001	Application of Montgomery's Trick to Scalar Multiplication for Elliptic and Hyperelliptic Curves Using a Fixed Base Point.	Public Key Cryptography	2004	DBLP DOI BibTeX RDF	scalar multipication, field inversion, side-channel attacks, elliptic curves, hyperelliptic curves, explicit formulae
40	Sultan Almuhammadi, Nien T. Sui, Dennis McLeod	Better Privacy and Security in E-Commerce: Using Elliptic Curve-Based Zero-Knowledge Proofs.	CEC	2004	DBLP DOI BibTeX RDF	security, privacy, E-commerce, elliptic curves, zero-knowledge proofs
40	Reynald Lercier, David Lubicz	Counting Points on Elliptic Curves over Finite Fields of Small Characteristic in Quasi Quadratic Time.	EUROCRYPT	2003	DBLP DOI BibTeX RDF	canonical lifts, AGM, Elliptic curves
40	Teo Chun Yew, Hailiza Kamarulhaili, Putra Sumari	Message Recovery Signature Scheme Using Complementary Elliptic Curves.	GMAG	2003	DBLP DOI BibTeX RDF	Isomorphic Curves, Complementary Curves, Imbedding Plaintexts, Elliptic Curve Cryptosystems, Signature Scheme, Message Recovery
40	Essam Al-Daoud, Ramlan Mahmod, Mohammad Rushdan, Adem Kiliçman	A New Addition Formula for Elliptic Curves over GF(2n).	IEEE Trans. Computers	2002	DBLP DOI BibTeX RDF	point addition, projective coordinates, Public-key cryptography, elliptic curves, scalar multiplication
40	Nils Gura, Hans Eberle, Sheueling Chang Shantz	Generic implementations of elliptic curve cryptography using partial reduction.	CCS	2002	DBLP DOI BibTeX RDF	elliptic curve cryptography, modular reduction
40	Tetsuya Izu, Bodo Möller, Tsuyoshi Takagi	Improved Elliptic Curve Multiplication Methods Resistant against Side Channel Attacks.	INDOCRYPT	2002	DBLP DOI BibTeX RDF	side channel attacks, elliptic curve cryptosystems, scalar multiplication, window method, memory constraints
40	Richard Schroeppel, Cheryl L. Beaver, Rita Gonzales, Russell Miller 0001, Timothy Draelos	A Low-Power Design for an Elliptic Curve Digital Signature Chip.	CHES	2002	DBLP DOI BibTeX RDF	Optimal El Gamal, Characteristic 2, Field Towers, Trinomial Basis, Qsolve, Almost-Inverse Algorithm, Point Halving, Signed Sliding Window, GF(289), GF(2178), Low Power, Digital Signature, VHDL, Hardware, Elliptic Curve, ECDSA, Quadratic Equation
40	M. Ernst, Michael Jung 0002, Felix Madlener, Sorin A. Huss, Rainer Blümel	A Reconfigurable System on Chip Implementation for Elliptic Curve Cryptography over GF(2n).	CHES	2002	DBLP DOI BibTeX RDF	$ mathbb {GF}(2^n)$ arithmetic, Karatsuba multiplication, VHDL model generator, coprocessor synthesis, FPGA hardware acceleration, Atmel FPSLIC platform, Elliptic Curve cryptography
40	Katsuyuki Okeya, Kouichi Sakurai	Fast Multi-scalar Multiplication Methods on Elliptic Curves with Precomputation Strategy Using Montgomery Trick.	CHES	2002	DBLP DOI BibTeX RDF	multi-scalar multiplication, Montgomery trick, elliptic curve cryptography, precomputation, simultaneous
40	Kyungah Shim	Reducing Certain Elliptic Curve Discrete Logarithms to Logarithms in a Finite Field.	ACISP	2001	DBLP DOI BibTeX RDF	Anomalous curve, supersingular curve, elliptic curve discrete logarithm, Weil pairing
40	Harald Baier	Elliptic Curves of Prime Order over Optimal Extension Fields for Use in Cryptography.	INDOCRYPT	2001	DBLP DOI BibTeX RDF	cryptography, elliptic curve, complex multiplication, Optimal Extension Field
40	Marc Joye, Jean-Jacques Quisquater	Hessian Elliptic Curves and Side-Channel Attacks.	CHES	2001	DBLP DOI BibTeX RDF	Cryptography, Implementation, Smart-cards, Side-channel attacks, Elliptic curves
40	Marc Joye, Christophe Tymen	Protections against Differential Analysis for Elliptic Curve Cryptography.	CHES	2001	DBLP DOI BibTeX RDF	Smart-cards, Side-channel attacks, Public-key cryptography, Elliptic curves, Differential power analysis (DPA), Timing attacks
40	Katsuyuki Okeya, Kouichi Sakurai	Power Analysis Breaks Elliptic Curve Cryptosystems even Secure against the Timing Attack.	INDOCRYPT	2000	DBLP DOI BibTeX RDF	Montgomery-form, Scalar Multiplication Algorithm, Elliptic Curve Cryptosystem, Power Analysis, Timing Attack, Efficient Implementation
40	Ingrid Biehl, Bernd Meyer 0002, Volker Müller 0001	Differential Fault Attacks on Elliptic Curve Cryptosystems.	CRYPTO	2000	DBLP DOI BibTeX RDF	differential fault attack, elliptic curve cryptosystem
40	Tetsutaro Kobayashi, Hikaru Morita, Kunio Kobayashi, Fumitaka Hoshino	Fast Elliptic Curve Algorithm Combining Frobenius Map and Table Reference to Adapt to Higher Characteristic.	EUROCRYPT	1999	DBLP DOI BibTeX RDF	OEF, Table reference method, Finite field, Elliptic curve cryptosystem, Scalar multiplication, Frobenius map
38	Santosh Ghosh, Monjur Alam, Dipanwita Roy Chowdhury, Indranil Sengupta 0001	A GF(p) elliptic curve group operator resistant against side channel attacks.	ACM Great Lakes Symposium on VLSI	2008	DBLP DOI BibTeX RDF	gf(p) elliptic curve, elliptic curve cryptosystem, side-channel analysis, timing attack, power analysis attack
38	Dong-Ho Lee, Jong-Soo Oh	Multi-segment GF(2m) multiplication and its application to elliptic curve cryptography.	ACM Great Lakes Symposium on VLSI	2007	DBLP DOI BibTeX RDF	elliptic curve scalar multiplication, FPGA, elliptic curve cryptography (ECC), coprocessor, finite field multiplication
38	Fanyu Kong, Jia Yu 0003, Zhun Cai, Daxing Li	New Left-to-Right Radix- r Signed-Digit Recoding Algorithm for Pairing-Based Cryptosystems.	TAMC	2007	DBLP DOI BibTeX RDF	Elliptic curve cryptosystems, pairing-based cryptosystems, point multiplication, signed-digit number representations
38	Daniel V. Bailey, Christof Paar	Optimal Extension Fields for Fast Arithmetic in Public-Key Algorithms.	CRYPTO	1998	DBLP DOI BibTeX RDF	fast arithmetic, pseudo-Mersenne primes, OEF, binomials, cryptographic implementation, finite fields, elliptic curves, hyperelliptic curves, modular reduction, Optimal Extension Fields
38	Apostolos P. Fournaris, Odysseas G. Koufopavlou	Creating an Elliptic Curve arithmetic unit for use in elliptic curve cryptography.	ETFA	2008	DBLP DOI BibTeX RDF
37	Bertrand Byramjee, Andrew Weigl	Smart Cards.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
37	Christophe Doche	Integer Arithmetic.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
37	Roberto Maria Avanzi, Tanja Lange 0001	Introduction to Public-Key Cryptography.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
37	Gerhard Frey, Tanja Lange 0001	Background on Curves and Jacobians.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
37	Gerhard Frey, Tanja Lange 0001	Algebraic Realizations of DL Systems.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
37	Gerhard Frey, Tanja Lange 0001	Complex Multiplication.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
37	David Lubicz	Background on p-adic Numbers.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
37	Christophe Doche, Tanja Lange 0001	Arithmetic of Special Curves.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
37	Sylvain Duquesne, Gerhard Frey	Background on Pairings.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
37	Gerhard Frey, Tanja Lange 0001	Varieties over Special Fields.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
37	Sylvain Duquesne, Tanja Lange 0001	Pairing-Based Cryptography.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
37	Bertrand Byramjee, Jean-Christophe Courrège, Benoit Feix	Practical Attacks on Smart Cards.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF
37	Sylvain Duquesne, Gerhard Frey	Implementation of Pairings.	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	DBLP DOI BibTeX RDF