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Overview of elliptic curve cryptography
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Federal Information Processing Standard Publication
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Discrete logarithms in finite fields and their cryptographic significance
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Use of Elliptic Curves in Cryptography
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Non Supersingular Elliptic Curves for Public Key Cryptosystems
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Building Cyclic Elliptic Curves Modulo Large Primes
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CM-Curves with Good Cryptographic Properties
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Designing and Detecting Trapdoors for Discrete Log Cryptosystems
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A subexponential algorithm for discrete logarithms over the rational subgroup of the Jacobians of large genus hyperelliptic curves over finite fields
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Constructing elliptic curves with given group order over large finite fields
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Elliptic Curve Public Key Cryptosystems
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A Course in Number Theory and Cryptography
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The Arithmetic of Elliptic Curves
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Introduction to Coding Theory and Algebraic Geometry
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A Course in Computational Algebraic Number Theory
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Algebraic Aspects of Cryptography
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Efficient signature generation by smart cards
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Quadratische K�rper im Gebiete der h�heren Kongruenzen. I.
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�ber die Primfunktionen in einer arithmetischen Progression
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Endlichkeitss�tze f�r abelsche Variet�ten �ber Zahlk�rpern
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Rational points of abelian varieties with values in towers of number fields
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Zur Theorie des Fermatschen Quotienten $$\frac{{a^{p - 1} - 1}}{p} = q(a).$$
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Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
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The implementation of elliptic curve cryptosystems
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A new public-key cryptosystem as secure as factoring
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Security of an identity-based cryptosystem and the related reductions
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The Improbability That an Elliptic Curve Has Subexponential Discrete Log Problem under the Menezes—Okamoto—Vanstone Algorithm
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The Discrete Logarithm Problem on Elliptic Curves of Trace One
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Nonsingular plane cubic curves over finite fields
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Discrete logarithms and smooth polynomials
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Class number, a theory of factorization, and genera
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An overview of Deligne’s proof of the Riemann hypothesis for varieties over finite fields (Hilbert’s problem 8)
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Numbers of solutions of equations in finite fields
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Factoring polynomials over large finite fields
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Monte Carlo methods for index computation (𝑚𝑜𝑑𝑝)
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A New Algorithm for Factoring Polynomials Over Finite Fields
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Elliptic curves over finite fields and the computation of square roots mod 𝑝
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Elliptic Curve Cryptosystems
inferredcites →https://doi.org/10.1090/s0025-5718-1993-1199989-xopenalex-snapshot
Elliptic Curves and Primality Proving
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Evaluation of discrete logarithms in a group of 𝑝-torsion points of an elliptic curve in characteristic 𝑝
inferredcites →https://doi.org/10.1090/s0025-5718-99-01043-1openalex-snapshot
On the discrete logarithm in the divisor class group of curves
inferredcites →https://doi.org/10.1109/18.259647openalex-snapshot
Reducing elliptic curve logarithms to logarithms in a finite field
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A subexponential algorithm for the discrete logarithm problem with applications to cryptography
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New directions in cryptography
inferredcites →https://doi.org/10.1109/tit.1978.1055817openalex-snapshot
An improved algorithm for computing logarithms overGF(p)and its cryptographic significance (Corresp.)
inferredcites →https://doi.org/10.1109/tit.1984.1056941openalex-snapshot
Fast evaluation of logarithms in fields of characteristic two
inferredcites →https://doi.org/10.1109/tit.1985.1057074openalex-snapshot
A public key cryptosystem and a signature scheme based on discrete logarithms
inferredcites →https://doi.org/10.1112/jlms/s1-41.1.193openalex-snapshot
Diophantine Equations with Special Reference To Elliptic Curves
inferredcites →https://doi.org/10.1145/103418.103434openalex-snapshot
Reducing elliptic curve logarithms to logarithms in a finite field
inferredcites →https://doi.org/10.1515/crll.1936.175.193openalex-snapshot
Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung.
inferredcites →https://doi.org/10.1515/dma.1996.6.1.69openalex-snapshot
On computing logarithms on elliptic curves
inferredcites →https://doi.org/10.2307/1970442openalex-snapshot
Hecke Polynomials as Congruence ζ Functions in Elliptic Modular Case
inferredcites →https://doi.org/10.2307/2004849openalex-snapshot
Factoring Polynomials Over Large Finite Fields
inferredcites →https://doi.org/10.2307/2006496openalex-snapshot
Monte Carlo Methods for Index Computation (mod p)
inferredcites →https://doi.org/10.2307/2007968openalex-snapshot
Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p
inferredcites →https://doi.org/10.2307/2153546openalex-snapshot
A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves
inferredcites →https://doi.org/10.2307/2372974openalex-snapshot
On the Rationality of the Zeta Function of an Algebraic Variety
inferredcites →https://doi.org/10.24033/asens.1183openalex-snapshot
Abelian varieties over finite fields
inferredcites →https://doi.org/10.2969/jmsj/02010083openalex-snapshot
Isogeny classes of abelian varieties over finite fields
inferredcites →https://doi.org/10.4213/dm516openalex-snapshot
О вычислении логарифмов на эллиптических кривых
inferredcites →https://doi.org/10.5802/jtnb.143openalex-snapshot
Calcul du nombre de points sur une courbe elliptique dans un corps fini : aspects algorithmiques
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Algebraic aspects of cryptography
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Two New Fast Methods for Simultaneous Scalar Multiplication in Elliptic Curve Cryptosystems
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Evolutionary Hardware Architecture for Division in Elliptic Curve Cryptosystems over GF(2 n )
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VLSI Performance Evaluation and Analysis of Systolic and Semisystolic Finite Field Multipliers
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Cellular Automata Architecture for Elliptic Curve Cryptographic Hardware
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A Software Library for Elliptic Curve Cryptography
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An Evolutionary Approach to the Design of Cellular Automata Architecture for Multiplication in Elliptic Curve Cryptography over Finite Fields
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ℓ-Invertible Cycles for $\mathcal{M}$ ultivariate $\mathcal{Q}$ uadratic ( ${\mathcal{MQ}}$ ) Public Key Cryptography
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Eta Pairing Computation on General Divisors over Hyperelliptic Curves y 2 = x 7 − x ±1
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NanoECC: Testing the Limits of Elliptic Curve Cryptography in Sensor Networks
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Elliptic Curve Cryptography-Based Signcryption Scheme with a Strong Designated Verifier for the Internet of Things
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Qubit and bit-based quantum hybrid secret key generation
inferred← citeshttps://doi.org/10.1142/s0218348x2150064xopenalex-snapshot
IMAGE ENCRYPTION TECHNOLOGY BASED ON FRACTIONAL TWO-DIMENSIONAL DISCRETE CHAOTIC MAP ACCOMPANIED WITH MENEZES-VANSTONE ELLIPTIC CURVE CRYPTOSYSTEM
inferred← citeshttps://doi.org/10.1145/1387663.1387668openalex-snapshot
Implementing public-key infrastructure for sensor networks
inferred← citeshttps://doi.org/10.1145/1457246.1457254openalex-snapshot
Analysis and design of a hardware/software trusted platform module for embedded systems
inferred← citeshttps://doi.org/10.1145/2746285.2746320openalex-snapshot
Performance and Energy Consumption Analysis of a Delay-Tolerant Network for Censorship-Resistant Communication
inferred← citeshttps://doi.org/10.1145/3191477.3199061openalex-snapshot
Secure Transition for Robotic Surgery With Elliptic Curve Diffie Hellman
inferred← citeshttps://doi.org/10.1145/3714393.3726498openalex-snapshot
Buffalo: A Practical Secure Aggregation Protocol for Buffered Asynchronous Federated Learning
inferred← citeshttps://doi.org/10.1145/996566.996771openalex-snapshot
Security as a new dimension in embedded system design
inferred← citeshttps://doi.org/10.1155/2018/4585083openalex-snapshot
Image Encryption Technology Based on Fractional Two-Dimensional Triangle Function Combination Discrete Chaotic Map Coupled with Menezes-Vanstone Elliptic Curve Cryptosystem
inferred← citeshttps://doi.org/10.1201/b16754-10openalex-snapshot
Security Architecture for Multihop Wireless Sensor Networks
inferred← citeshttps://doi.org/10.1504/ijics.2008.018515openalex-snapshot
On security issues in embedded systems: challenges and solutions
inferred← citeshttps://doi.org/10.1556/012.2015.52.2.1313openalex-snapshot
Explicit endomorphism of the Jacobian of a hyperelliptic function field of genus 2 using base field operations
inferred← citeshttps://doi.org/10.21608/ijci.2023.208602.1108openalex-snapshot
Security Evaluation of Different Hashing Functions with RSA for Digital Signature
inferred← citeshttps://doi.org/10.22215/etd/2011-07315openalex-snapshot
Techniques for enhancing the performance of secure sockets layer-based systems
inferred← citeshttps://doi.org/10.22215/etd/2021-14470openalex-snapshot
A Secure and Privacy Preserving COVID-19 Notification System
inferred← citeshttps://doi.org/10.22401/jnus.12.1.23openalex-snapshot
ENHANCED MENEZES-VANESTONE ELLIPTIC CURVES CRYPTOSYSTEM
inferred← citeshttps://doi.org/10.2991/iwmecs-18.2018.75openalex-snapshot
Analysis of consensus mechanism models in the application of industrial projects brought by blockchain technology
inferred← citeshttps://doi.org/10.31449/inf.v47i5.4698openalex-snapshot
PrivyKG: Security and Privacy Preservation of Knowledge Graphs Using BlockChain Technology
inferred← citeshttps://doi.org/10.3233/978-1-61499-484-8-1646openalex-snapshot
A Fast Window-based Scalar Multiplication Algorithm for Elliptic Curve Cryptography in Wireless Sensor Networks
inferred← citeshttps://doi.org/10.32657/10356/2445openalex-snapshot
Secure key establishment for low power devices using ECC
inferred← citeshttps://doi.org/10.3390/e22060619openalex-snapshot
CBOL: Cross-Bank Over-Loan Prevention, Revisited
inferred← citeshttps://doi.org/10.3390/math8101782openalex-snapshot
A Survey on Blockchain Consensus with a Performance Comparison of PoW, PoS and Pure PoS
inferred← citeshttps://doi.org/10.36481/diujst.v01i1.n6qk8034openalex-snapshot
Implementation and Performance Analysis of Elliptic Curve Digital Signature Algorithm
inferred← citeshttps://doi.org/10.3837/tiis.2022.05.015openalex-snapshot
A Certificateless-based One-Round Authenticated Group Key Agreement Protocol to Prevent Impersonation Attacks
inferred← citeshttps://doi.org/10.4236/jis.2015.61006openalex-snapshot
Authenticated Key Agreement Protocols: A Comparative Study
inferred← citeshttps://doi.org/10.47749/t/unicamp.2000.192403openalex-snapshot
Implementação eficiente em software de criptossistemas de curvas elipticas
inferred← citeshttps://doi.org/10.47749/t/unicamp.2002.251300openalex-snapshot
Uma implantação de criptografia de curvas elipticas no Java Card
inferred← citeshttps://doi.org/10.47749/t/unicamp.2004.307895openalex-snapshot
Um cripto-processador reconfiguravel baseado em algoritmos de curvas elipticas e AES
inferred← citeshttps://doi.org/10.5120/2395-3181openalex-snapshot
Design and Implementation of Block Method for Computing NAF
inferred← citeshttps://doi.org/10.5121/acij.2012.3210openalex-snapshot
A Novel Framework using Elliptic Curve Cryptography for Extremely Secure Transmission in Distributed Privacy Preserving Data Mining
inferred← citeshttps://doi.org/10.5121/ijait.2012.2204openalex-snapshot
Data Security Analysis and Security Extension for Smart Cards Using Java Card
inferred← citeshttps://doi.org/10.5121/ijnsa.2012.4503openalex-snapshot
Handoff Based Secure Checkpointing and Log Based Rollback Recovery for Mobile Hosts
inferred← citeshttps://doi.org/10.51983/ajcst-2012.1.1.1675openalex-snapshot
An Efficient Mobile Authentication Protocol for Wireless Communications Using Rabin PublicKey Cryptosystem
inferred← citeshttps://doi.org/10.53375/ijecer.2023.318openalex-snapshot
A Comparative Analysis of the Computation Cost and Energy Consumption of Relevant Curves of ECC Presented in Literature
inferred← citeshttps://doi.org/10.5772/intechopen.83579openalex-snapshot
The Graphs for Elliptic Curve Cryptography
inferred← citeshttps://doi.org/10.5815/ijcnis.2020.03.05openalex-snapshot
Privacy Protection in Smart Cities by a Personal Data Management Protocol in Blockchain
inferred← citeshttps://doi.org/10.6633/ijns.201011.11(3).05openalex-snapshot
HARDWARE IMPLEMENTATION OF EFFICIENT MODIFIED KARATSUBA MULTIPLIER USED IN ELLIPTIC CURVES
inferred← citeshttps://doi.org/10.9790/0661-16383135openalex-snapshot
Prospective Utilization of Elliptic Curve Cryptography for Security: Authentication, Encryption and Decryption
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