Easy numbers for the elliptic curve primality proving algorithm
ISSAC '92 Papers from the international symposium on Symbolic and algebraic computation
Primality testing using elliptic curves
Journal of the ACM (JACM)
Security-driven exploration of cryptography in DSP cores
Proceedings of the 15th international symposium on System Synthesis
Software Implementation of the NIST Elliptic Curves Over Prime Fields
CT-RSA 2001 Proceedings of the 2001 Conference on Topics in Cryptology: The Cryptographer's Track at RSA
An Improved Implementation of Elliptic Curves over GF(2) when Using Projective Point Arithmetic
SAC '01 Revised Papers from the 8th Annual International Workshop on Selected Areas in Cryptography
Some Parallel Algorithms for Integer Factorisation
Euro-Par '99 Proceedings of the 5th International Euro-Par Conference on Parallel Processing
Recent Progress and Prospects for Integer Factorisation Algorithms
COCOON '00 Proceedings of the 6th Annual International Conference on Computing and Combinatorics
Faster Point Multiplication on Elliptic Curves with Efficient Endomorphisms
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology
Efficient Elliptic Curve Exponentiation Using Mixed Coordinates
ASIACRYPT '98 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
PKC '01 Proceedings of the 4th International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
A Higher-Rank Mersenne Problem
ANTS-V Proceedings of the 5th International Symposium on Algorithmic Number Theory
Fast Implementation of Public-Key Cryptography ona DSP TMS320C6201
CHES '99 Proceedings of the First International Workshop on Cryptographic Hardware and Embedded Systems
Software Implementation of Elliptic Curve Cryptography over Binary Fields
CHES '00 Proceedings of the Second International Workshop on Cryptographic Hardware and Embedded Systems
Fast Implementation of Elliptic Curve Defined over GF(pm) on CalmRISC with MAC2424 Coprocessor
CHES '00 Proceedings of the Second International Workshop on Cryptographic Hardware and Embedded Systems
Preventing SPA/DPA in ECC Systems Using the Jacobi Form
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
Hessian Elliptic Curves and Side-Channel Attacks
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
Protections against Differential Analysis for Elliptic Curve Cryptography
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
The Hessian Form of an Elliptic Curve
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Secure Elliptic Curve Implementations: An Analysis of Resistance to Power-Attacks in a DSP Processor
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Design of secure cryptography against the threat of power-attacks in DSP-embedded processors
ACM Transactions on Embedded Computing Systems (TECS)
Elliptic and hyperelliptic curves on embedded μP
ACM Transactions on Embedded Computing Systems (TECS)
Security on FPGAs: State-of-the-art implementations and attacks
ACM Transactions on Embedded Computing Systems (TECS)
Improving the arithmetic of elliptic curves in the Jacobi model
Information Processing Letters
Hardware organization to achieve high-speed elliptic curve cryptography for mobile devices
Mobile Networks and Applications
A pairing SW implementation for Smart-Cards
Journal of Systems and Software
Fast Point Multiplication on Elliptic Curves without Precomputation
WAIFI '08 Proceedings of the 2nd international workshop on Arithmetic of Finite Fields
Jacobi Quartic Curves Revisited
ACISP '09 Proceedings of the 14th Australasian Conference on Information Security and Privacy
Elliptic Curve Scalar Multiplication Combining Yao's Algorithm and Double Bases
CHES '09 Proceedings of the 11th International Workshop on Cryptographic Hardware and Embedded Systems
The Jacobi model of an elliptic curve and side-channel analysis
AAECC'03 Proceedings of the 15th international conference on Applied algebra, algebraic algorithms and error-correcting codes
Faster addition and doubling on elliptic curves
ASIACRYPT'07 Proceedings of the Advances in Crypotology 13th international conference on Theory and application of cryptology and information security
Faster group operations on elliptic curves
AISC '09 Proceedings of the Seventh Australasian Conference on Information Security - Volume 98
Co-Z addition formulæ and binary ladders on elliptic curves
CHES'10 Proceedings of the 12th international conference on Cryptographic hardware and embedded systems
CT-RSA'11 Proceedings of the 11th international conference on Topics in cryptology: CT-RSA 2011
Faster and lower memory scalar multiplication on supersingular curves in characteristic three
PKC'11 Proceedings of the 14th international conference on Practice and theory in public key cryptography conference on Public key cryptography
Toric forms of elliptic curves and their arithmetic
Journal of Symbolic Computation
Division polynomials for Jacobi quartic curves
Proceedings of the 36th international symposium on Symbolic and algebraic computation
AFRICACRYPT'11 Proceedings of the 4th international conference on Progress in cryptology in Africa
Efficient pairing computation on Elliptic curves in Hessian form
ICISC'10 Proceedings of the 13th international conference on Information security and cryptology
Twisted jacobi intersections curves
TAMC'10 Proceedings of the 7th annual conference on Theory and Applications of Models of Computation
Efficient arithmetic on hessian curves
PKC'10 Proceedings of the 13th international conference on Practice and Theory in Public Key Cryptography
The arithmetic of characteristic 2 Kummer surfaces and of elliptic Kummer lines
Finite Fields and Their Applications
Complete atomic blocks for elliptic curves in jacobian coordinates over prime fields
LATINCRYPT'12 Proceedings of the 2nd international conference on Cryptology and Information Security in Latin America
Fault attacks against the miller algorithm in hessian coordinates
Inscrypt'11 Proceedings of the 7th international conference on Information Security and Cryptology
Fast tate pairing computation on twisted Jacobi intersections curves
Inscrypt'11 Proceedings of the 7th international conference on Information Security and Cryptology
Tate pairing computation on jacobi's elliptic curves
Pairing'12 Proceedings of the 5th international conference on Pairing-Based Cryptography
Twisted Jacobi intersections curves
Theoretical Computer Science
Lambda coordinates for binary elliptic curves
CHES'13 Proceedings of the 15th international conference on Cryptographic Hardware and Embedded Systems
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One can associate with an arbitrary algebroid formal group law F, defined over F"p, a sequence [n]"F(x@?) (= [n - 1]"F(x@?) @?"Fx@?). These sequences for various F (multiplicative group, reduced elliptic curves and Abelian varieties) provide a variety of new primality tests like Lucas' test for Mersenne primes. Implementations and relations with factorization algorithms are presented.