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Hyperelliptic cryptosystems
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4684-0255-1openalex-snapshot
Introduction to Elliptic Curves and Modular Forms
inferredcites →https://doi.org/10.1007/978-1-4684-0310-7openalex-snapshot
A Course in Number Theory and Cryptography
inferredcites →https://doi.org/10.1090/s0025-5718-1979-0537980-7openalex-snapshot
Some primes of the form (𝑎ⁿ-1)/(𝑎-1)
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0866101-0openalex-snapshot
Computing in the Jacobian of a Hyperelliptic Curve
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0866109-5openalex-snapshot
Elliptic Curve Cryptosystems
inferredcites →https://doi.org/10.1109/tit.1976.1055638openalex-snapshot
New directions in cryptography
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/10.2140/pjm.1988.131.157openalex-snapshot
Primality of the number of points on an elliptic curve over a finite field
inferredcites →https://doi.org/10.2307/2004020openalex-snapshot
Solved and Unsolved Problems in Number Theory
inferredcites →https://doi.org/10.24033/asens.1183openalex-snapshot
Abelian varieties over finite fields
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/cpe.6921openalex-snapshot
Secure lightweight multi‐party key agreement based on hyperelliptic curve Diffie–Hellman for constraint networks
inferred← citeshttps://doi.org/10.1002/dac.3763openalex-snapshot
Provable secure lightweight hyper elliptic curve‐based communication system for wireless sensor networks
inferred← citeshttps://doi.org/10.1006/jsco.1998.0214openalex-snapshot
Construction of Linear Systems on Hyperelliptic Curves
inferred← citeshttps://doi.org/10.1007/0-387-34799-2_8openalex-snapshot
A Family of Jacobians Suitable for Discrete Log Cryptosystems
inferred← citeshttps://doi.org/10.1007/0-8176-4515-2openalex-snapshot
Topics in the Theory of Algebraic Function Fields
inferred← citeshttps://doi.org/10.1007/10719994_18openalex-snapshot
A Hardware-Oriented Algorithm for Computing in Jacobians and Its Implementation for Hyperelliptic Curve Cryptosystems
inferred← citeshttps://doi.org/10.1007/10719994_8openalex-snapshot
Over F p vs. over F $_{2^{n}}$ and on Pentium vs. on Alpha in Software Implementation of Hyperelliptic Curve Cryptosystems
inferred← citeshttps://doi.org/10.1007/10722028_18openalex-snapshot
Counting Points on Hyperelliptic Curves over Finite Fields
inferred← citeshttps://doi.org/10.1007/10722028_21openalex-snapshot
Fast Jacobian Group Arithmetic on C ab Curves
inferred← citeshttps://doi.org/10.1007/10722028_28openalex-snapshot
Improving Group Law Algorithms for Jacobians of Hyperelliptic Curves
inferred← citeshttps://doi.org/10.1007/11496618_21openalex-snapshot
New Families of Hyperelliptic Curves with Efficient Gallant-Lambert-Vanstone Method
inferred← citeshttps://doi.org/10.1007/11496618_22openalex-snapshot
Some Improved Algorithms for Hyperelliptic Curve Cryptosystems Using Degenerate Divisors
inferred← citeshttps://doi.org/10.1007/11506157_13openalex-snapshot
A Complete Divisor Class Halving Algorithm for Hyperelliptic Curve Cryptosystems of Genus Two
inferred← citeshttps://doi.org/10.1007/11596219_32openalex-snapshot
SCA Resistant Parallel Explicit Formula for Addition and Doubling of Divisors in the Jacobian of Hyperelliptic Curves of Genus 2
inferred← citeshttps://doi.org/10.1007/11605805_5openalex-snapshot
Efficient Doubling on Genus 3 Curves over Binary Fields
inferred← citeshttps://doi.org/10.1007/11767480_28openalex-snapshot
A General Methodology for Pipelining the Point Multiplication Operation in Curve Based Cryptography
inferred← citeshttps://doi.org/10.1007/11792086_30openalex-snapshot
Arithmetic of Generalized Jacobians
inferred← citeshttps://doi.org/10.1007/11792086_33openalex-snapshot
Fast Bilinear Maps from the Tate-Lichtenbaum Pairing on Hyperelliptic Curves
inferred← citeshttps://doi.org/10.1007/11894063_12openalex-snapshot
SPA-Resistant Scalar Multiplication on Hyperelliptic Curve Cryptosystems Combining Divisor Decomposition Technique and Joint Regular Form
inferred← citeshttps://doi.org/10.1007/11941378_24openalex-snapshot
Extended Double-Base Number System with Applications to Elliptic Curve Cryptography
inferred← citeshttps://doi.org/10.1007/3-540-36231-2_23openalex-snapshot
Speeding up the Scalar Multiplication in the Jacobians of Hyperelliptic Curves Using Frobenius Map
inferred← citeshttps://doi.org/10.1007/3-540-36400-5_29openalex-snapshot
Genus Two Hyperelliptic Curve Coprocessor
inferred← citeshttps://doi.org/10.1007/3-540-36563-x_11openalex-snapshot
Efficient GF(p m ) Arithmetic Architectures for Cryptographic Applications
inferred← citeshttps://doi.org/10.1007/3-540-36563-x_12openalex-snapshot
Hardware Performance Characterization of Block Cipher Structures
inferred← citeshttps://doi.org/10.1007/3-540-38424-3_11openalex-snapshot
Constructing Elliptic Curve Cryptosystems in Characteristic 2
inferred← citeshttps://doi.org/10.1007/3-540-44448-3_20openalex-snapshot
Construction of Hyperelliptic Curves with CM and Its Application to Cryptosystems
inferred← citeshttps://doi.org/10.1007/3-540-44586-2_8openalex-snapshot
The Gap-Problems: A New Class of Problems for the Security of Cryptographic Schemes
inferred← citeshttps://doi.org/10.1007/3-540-44983-3_8openalex-snapshot
Speeding up the Arithmetic on Koblitz Curves of Genus Two
inferred← citeshttps://doi.org/10.1007/3-540-44987-6_3openalex-snapshot
How Secure Are Elliptic Curves over Composite Extension Fields?
inferred← citeshttps://doi.org/10.1007/3-540-45067-x_42openalex-snapshot
Public-Key Cryptosystems Based on Class Semigroups of Imaginary Quadratic Non-maximal Orders
inferred← citeshttps://doi.org/10.1007/3-540-45311-3_19openalex-snapshot
Analysis of the GHS Weil Descent Attack on the ECDLP over Characteristic Two Finite Fields of Composite Degree
inferred← citeshttps://doi.org/10.1007/3-540-45450-0_16openalex-snapshot
Isomorphism Classes of Hyperelliptic Curves of Genus 2 over $$ \mathbb{F}_q $$
inferred← citeshttps://doi.org/10.1007/3-540-45450-0_17openalex-snapshot
Compact Representation of Domain Parameters of Hyperelliptic Curve Cryptosystems
inferred← citeshttps://doi.org/10.1007/3-540-45455-1_10openalex-snapshot
Computational Aspects of NUCOMP
inferred← citeshttps://doi.org/10.1007/3-540-45455-1_25openalex-snapshot
An Extension of Kedlaya’s Algorithm to Artin-Schreier Curves in Characteristic 2
inferred← citeshttps://doi.org/10.1007/3-540-45537-x_14openalex-snapshot
Two Topics in Hyperelliptic Cryptography
inferred← citeshttps://doi.org/10.1007/3-540-45539-6_2openalex-snapshot
An Algorithm for Solving the Discrete Log Problem on Hyperelliptic Curves
inferred← citeshttps://doi.org/10.1007/3-540-45600-7_9openalex-snapshot
Fast Scalar Multiplication on the Jacobian of a Family of Hyperelliptic Curves
inferred← citeshttps://doi.org/10.1007/3-540-45682-1_28openalex-snapshot
An Extension of Kedlaya’s Point-Counting Algorithm to Superelliptic Curves
inferred← citeshttps://doi.org/10.1007/3-540-45682-1_29openalex-snapshot
Supersingular Curves in Cryptography
inferred← citeshttps://doi.org/10.1007/3-540-45682-1_7openalex-snapshot
Computation of Discrete Logarithms in $$ \mathbb{F}_{2^{607} } $$
inferred← citeshttps://doi.org/10.1007/3-540-45708-9_24openalex-snapshot
Computing Zeta Functions of Hyperelliptic Curves over Finite Fields of Characteristic 2
inferred← citeshttps://doi.org/10.1007/3-540-46416-6_29openalex-snapshot
On the Complexity of Hyperelliptic Discrete Logarithm Problem
inferred← citeshttps://doi.org/10.1007/3-540-46766-1_21openalex-snapshot
Efficient Algorithms for the Construction of Hyperelliptic Cryptosystems
inferred← citeshttps://doi.org/10.1007/3-540-47555-9_34openalex-snapshot
How Intractable Is the Discrete Logarithm for a General Finite Group?
inferred← citeshttps://doi.org/10.1007/3-540-47719-5_8openalex-snapshot
New Public-Key Cryptosystem Using Divisor Class Groups
inferred← citeshttps://doi.org/10.1007/3-540-48071-4_20openalex-snapshot
Practical Approaches to Attaining Security against Adaptively Chosen Ciphertext Attacks
inferred← citeshttps://doi.org/10.1007/3-540-48071-4_24openalex-snapshot
Efficient Multiplication on Certain Nonsupersingular Elliptic Curves
inferred← citeshttps://doi.org/10.1007/3-540-48910-x_12openalex-snapshot
On the Performance of Hyperelliptic Cryptosystems
inferred← citeshttps://doi.org/10.1007/3-540-49649-1_8openalex-snapshot
Design of Hyperelliptic Cryptosystems in Small Characteristic and a Software Implementation over F2 n
inferred← citeshttps://doi.org/10.1007/3-540-54303-1_125openalex-snapshot
Decoding of codes on hyperelliptic curves
inferred← citeshttps://doi.org/10.1007/3-540-58691-1_39openalex-snapshot
A subexponential algorithm for discrete logarithms over the rational subgroup of the Jacobians of large genus hyperelliptic curves over finite fields
inferred← citeshttps://doi.org/10.1007/3-540-61581-4_63openalex-snapshot
Computational aspects of curves of genus at least 2
inferred← citeshttps://doi.org/10.1007/3-540-69053-0_25openalex-snapshot
Fast Arithmetic Architectures for Public-Key Algorithms over Galois Fields GF((2n)m)
inferred← citeshttps://doi.org/10.1007/978-0-387-35515-3_25openalex-snapshot
Fast Construction of Secure Discrete Logarithm Problems over Jacobian Varieties
inferred← citeshttps://doi.org/10.1007/978-0-387-71817-0_8openalex-snapshot
Elliptic and Hyperelliptic Curve Cryptography
inferred← citeshttps://doi.org/10.1007/978-0-387-71829-3_1openalex-snapshot
Modular Integer Arithmetic for Public Key Cryptography
inferred← citeshttps://doi.org/10.1007/978-1-4020-8737-0_87openalex-snapshot
Light Weight Cryptography and Applications
inferred← citeshttps://doi.org/10.1007/978-1-4419-5906-5_253openalex-snapshot
Hyperelliptic Curves Performance
inferred← citeshttps://doi.org/10.1007/978-1-4613-0283-4_8openalex-snapshot
A General Framework for Subexponential Discrete Logarithm Algorithms in Groups of Unknown Order
inferred← citeshttps://doi.org/10.1007/978-1-4757-2226-0_6openalex-snapshot
The Discrete Logarithm Problem
inferred← citeshttps://doi.org/10.1007/978-1-4757-6856-5_1openalex-snapshot
Information Security, Mathematics, and Public-Key Cryptography
inferred← citeshttps://doi.org/10.1007/978-1-4757-6856-5_4openalex-snapshot
The Diffie-Hellman Protocol
inferred← citeshttps://doi.org/10.1007/978-1-4757-6856-5_5openalex-snapshot
The State of Elliptic Curve Cryptography
inferred← citeshttps://doi.org/10.1007/978-3-030-05153-2_1openalex-snapshot
Pre- and Post-quantum Diffie–Hellman from Groups, Actions, and Isogenies
inferred← citeshttps://doi.org/10.1007/978-3-030-21548-4_35openalex-snapshot
Constructing Hyperelliptic Covers for Elliptic Curves over Quadratic Extension Fields
inferred← citeshttps://doi.org/10.1007/978-3-030-41025-4_7openalex-snapshot
Implementing Cryptography Pairings over Ordinary Pairing-Friendly Curves of Type $$ y^2 = x^5 +a \, x$$
inferred← citeshttps://doi.org/10.1007/978-3-030-71522-9_253openalex-snapshot
Hyperelliptic Curves Performance
inferred← citeshttps://doi.org/10.1007/978-3-031-68400-5_7openalex-snapshot
On Cycles of Pairing-Friendly Abelian Varieties
inferred← citeshttps://doi.org/10.1007/978-3-032-34586-8_2openalex-snapshot
Computer Generation of Explicit Formulas for Hyperelliptic Curve Divisor Arithmetic
inferred← citeshttps://doi.org/10.1007/978-3-0348-7023-8_13openalex-snapshot
A Survey of Number Theory and Cryptography
inferred← citeshttps://doi.org/10.1007/978-3-0348-8295-8_3openalex-snapshot
Counting the Number of Points on Affine Diagonal Curves
inferred← citeshttps://doi.org/10.1007/978-3-319-23318-5_29openalex-snapshot
Efficient Ephemeral Elliptic Curve Cryptographic Keys
inferred← citeshttps://doi.org/10.1007/978-3-319-31515-7_4openalex-snapshot
Elliptic Curve Cryptosystems
inferred← citeshttps://doi.org/10.1007/978-3-319-68637-0_13openalex-snapshot
Bit Security of the Hyperelliptic Curves Diffie-Hellman Problem
inferred← citeshttps://doi.org/10.1007/978-3-319-70697-9_1openalex-snapshot
Kummer for Genus One over Prime Order Fields
inferred← citeshttps://doi.org/10.1007/978-3-319-71667-1_3openalex-snapshot
Architecture Level Optimizations for Kummer Based HECC on FPGAs
inferred← citeshttps://doi.org/10.1007/978-3-319-72453-9_33openalex-snapshot
Ordinary Pairing-Friendly Genus 2 Hyperelliptic Curves with Absolutely Simple Jacobians
inferred← citeshttps://doi.org/10.1007/978-3-319-89339-6_11openalex-snapshot
Unified Formulas for Some Deterministic Almost-Injective Encodings into Hyperelliptic Curves
inferred← citeshttps://doi.org/10.1007/978-3-322-84957-1_7openalex-snapshot
Elliptische Kurven in HBCI Ein Backup zu RSA
inferred← citeshttps://doi.org/10.1007/978-3-540-24582-7_24openalex-snapshot
Counting Points on an Abelian Variety over a Finite Field
inferred← citeshttps://doi.org/10.1007/978-3-540-24632-9_4openalex-snapshot
Application of Montgomery’s Trick to Scalar Multiplication for Elliptic and Hyperelliptic Curves Using a Fixed Base Point
inferred← citeshttps://doi.org/10.1007/978-3-540-24654-1_1openalex-snapshot
Low Cost Security: Explicit Formulae for Genus-4 Hyperelliptic Curves
inferred← citeshttps://doi.org/10.1007/978-3-540-24654-1_23openalex-snapshot
Generic Efficient Arithmetic Algorithms for PAFFs (Processor Adequate Finite Fields) and Related Algebraic Structures
inferred← citeshttps://doi.org/10.1007/978-3-540-24691-6_13openalex-snapshot
Efficient Scalar Multiplication in Hyperelliptic Curves Using A New Frobenius Expansion
inferred← citeshttps://doi.org/10.1007/978-3-540-24847-7_17openalex-snapshot
A Comparison of CEILIDH and XTR
inferred← citeshttps://doi.org/10.1007/978-3-540-24847-7_23openalex-snapshot
Montgomery Addition for Genus Two Curves
inferred← citeshttps://doi.org/10.1007/978-3-540-24852-1_35openalex-snapshot
New Table Look-Up Methods for Faster Frobenius Map Based Scalar Multiplication Over GF(p n )
inferred← citeshttps://doi.org/10.1007/978-3-540-28632-5_11openalex-snapshot
Aspects of Hyperelliptic Curves over Large Prime Fields in Software Implementations
inferred← citeshttps://doi.org/10.1007/978-3-540-30564-4_12openalex-snapshot
Efficient Doubling on Genus Two Curves over Binary Fields
inferred← citeshttps://doi.org/10.1007/978-3-540-30564-4_9openalex-snapshot
A Note on the Signed Sliding Window Integer Recoding and a Left-to-Right Analogue
inferred← citeshttps://doi.org/10.1007/978-3-540-31815-6_28openalex-snapshot
Novel Efficient Implementations of Hyperelliptic Curve Cryptosystems Using Degenerate Divisors
inferred← citeshttps://doi.org/10.1007/978-3-540-40061-5_5openalex-snapshot
Index Calculus Attack for Hyperelliptic Curves of Small Genus
inferred← citeshttps://doi.org/10.1007/978-3-540-40061-5_6openalex-snapshot
Parallelizing Explicit Formula for Arithmetic in the Jacobian of Hyperelliptic Curves
inferred← citeshttps://doi.org/10.1007/978-3-540-45238-6_28openalex-snapshot
Hyperelliptic Curve Cryptosystems: Closing the Performance Gap to Elliptic Curves
inferred← citeshttps://doi.org/10.1007/978-3-540-45238-6_29openalex-snapshot
Countermeasures against Differential Power Analysis for Hyperelliptic Curve Cryptosystems
inferred← citeshttps://doi.org/10.1007/978-3-540-48000-6_10openalex-snapshot
Speeding up the Discrete Log Computation on Curves with Automorphisms
inferred← citeshttps://doi.org/10.1007/978-3-540-70500-0_33openalex-snapshot
Extractors for Jacobians of Binary Genus-2 Hyperelliptic Curves
inferred← citeshttps://doi.org/10.1007/978-3-540-72163-5_21openalex-snapshot
Towards Minimizing Memory Requirement for Implementation of Hyperelliptic Curve Cryptosystems
inferred← citeshttps://doi.org/10.1007/978-3-540-73074-3_16openalex-snapshot
Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation
inferred← citeshttps://doi.org/10.1007/978-3-540-74462-7_15openalex-snapshot
Delaying and Merging Operations in Scalar Multiplication: Applications to Curve-Based Cryptosystems
inferred← citeshttps://doi.org/10.1007/978-3-540-76843-2_46openalex-snapshot
Compiler Assisted Elliptic Curve Cryptography
inferred← citeshttps://doi.org/10.1007/978-3-540-77272-9_19openalex-snapshot
Extractors for Jacobian of Hyperelliptic Curves of Genus 2 in Odd Characteristic
inferred← citeshttps://doi.org/10.1007/978-3-540-77360-3_11openalex-snapshot
Efficient Explicit Formulae for Genus 2 Hyperelliptic Curves over Prime Fields and Their Implementations
inferred← citeshttps://doi.org/10.1007/978-3-540-85538-5_16openalex-snapshot
Generators for the ℓ-Torsion Subgroup of Jacobians of Genus Two Curves
inferred← citeshttps://doi.org/10.1007/978-3-642-04159-4_25openalex-snapshot
HECC Goes Embedded: An Area-Efficient Implementation of HECC
inferred← citeshttps://doi.org/10.1007/978-3-642-11659-9_23openalex-snapshot
Evolution of Hyperelliptic Curve Cryptosystems
inferred← citeshttps://doi.org/10.1007/978-3-642-13797-6_16openalex-snapshot
On Rationality of the Intersection Points of a Line with a Plane Quartic
inferred← citeshttps://doi.org/10.1007/978-3-642-21969-6_18openalex-snapshot
On Randomness Extraction in Elliptic Curves
inferred← citeshttps://doi.org/10.1007/978-3-642-25261-7_1openalex-snapshot
Correspondences on Hyperelliptic Curves and Applications to the Discrete Logarithm
inferred← citeshttps://doi.org/10.1007/978-3-642-27739-9_253-2openalex-snapshot
Hyperelliptic Curves Performance
inferred← citeshttps://doi.org/10.1007/978-3-642-27739-9_253-3openalex-snapshot
Hyperelliptic Curves Performance
inferred← citeshttps://doi.org/10.1007/978-3-642-28496-0_6openalex-snapshot
Group Law Computations on Jacobians of Hyperelliptic Curves
inferred← citeshttps://doi.org/10.1007/978-3-642-29166-1_12openalex-snapshot
Public Verifiable Signcryption Schemes with Forward Secrecy Based on Hyperelliptic Curve Cryptosystem
inferred← citeshttps://doi.org/10.1007/978-3-642-31284-7_18openalex-snapshot
Zero-Value Point Attacks on Kummer-Based Cryptosystem
inferred← citeshttps://doi.org/10.1007/978-3-642-36334-4_16openalex-snapshot
Genus 2 Hyperelliptic Curve Families with Explicit Jacobian Order Evaluation and Pairing-Friendly Constructions
inferred← citeshttps://doi.org/10.1007/978-3-642-54631-0_12openalex-snapshot
Elliptic and Hyperelliptic Curves: A Practical Security Analysis
inferred← citeshttps://doi.org/10.1007/978-3-642-56755-1_13openalex-snapshot
Applications of Arithmetical Geometry to Cryptographic Constructions
inferred← citeshttps://doi.org/10.1007/978-3-642-57189-3_2openalex-snapshot
Efficient Reduction on the Jacobian Variety of Picard Curves
inferred← citeshttps://doi.org/10.1007/978-3-642-57189-3_4openalex-snapshot
Discrete Logarithms: Recent Progress
inferred← citeshttps://doi.org/10.1007/978-3-642-57189-3_6openalex-snapshot
Efficient Algorithms for the Jacobian Variety of Hyperelliptic Curves y2=xp-x+1 Over a Finite Field of Odd Characteristic p
inferred← citeshttps://doi.org/10.1007/978-3-642-78502-3_27openalex-snapshot
Number Theory and Cryptography
inferred← citeshttps://doi.org/10.1007/978-3-662-45611-8_18openalex-snapshot
Jacobian Coordinates on Genus 2 Curves
inferred← citeshttps://doi.org/10.1007/978-93-86279-02-6_13openalex-snapshot
A Survey of Number Theory and Cryptography
inferred← citeshttps://doi.org/10.1007/978-93-86279-09-5_9openalex-snapshot
The Addition Law on Hyperelliptic Jacobians
inferred← citeshttps://doi.org/10.1007/978-981-15-9317-8_5openalex-snapshot
Role of Cryptography in Network Security
inferred← citeshttps://doi.org/10.1007/978-981-16-9967-2_45openalex-snapshot
A Novel Area Efficient $$\text {GF}(2^m)$$ Multiplier
inferred← citeshttps://doi.org/10.1007/978-981-96-1218-5_18openalex-snapshot
An Optimization for Efficient Computation of Multiradical (3, 3)-isogenies on Jacobians
inferred← citeshttps://doi.org/10.1007/bf01189025openalex-snapshot
A note on cyclic groups, finite fields, and the discrete logarithm problem
inferred← citeshttps://doi.org/10.1007/bf01270693openalex-snapshot
On the structure of the divisor class group of a class of curves over finite fields
inferred← citeshttps://doi.org/10.1007/bf02960774openalex-snapshot
Selection of secure hyperelliptic curves ofg=2 based on a subfield
inferred← citeshttps://doi.org/10.1007/bf03167539openalex-snapshot
Tate and Ate pairings fory 2 =x 5 − αx in characteristic five
inferred← citeshttps://doi.org/10.1007/bfb0028485openalex-snapshot
Efficient construction of secure hyperelliptic discrete logarithm problems
inferred← citeshttps://doi.org/10.1007/bfb0054023openalex-snapshot
Secure hyperelliptic cryptosystems and their performance
inferred← citeshttps://doi.org/10.1007/bfb0054025openalex-snapshot
Two efficient algorithms for arithmetic of elliptic curves using Frobenius map
inferred← citeshttps://doi.org/10.1007/bfb0054134openalex-snapshot
A cryptosystem based on non-maximal imaginary quadratic orders with fast decryption
inferred← citeshttps://doi.org/10.1007/bfb0055748openalex-snapshot
Optimal extension fields for fast arithmetic in public-key algorithms
inferred← citeshttps://doi.org/10.1007/pl00000487openalex-snapshot
Two-torsion in the Jacobian of hyperelliptic curves over finite fields
inferred← citeshttps://doi.org/10.1007/pl00003818openalex-snapshot
A Fast Diffie—Hellman Protocol in Genus 2
inferred← citeshttps://doi.org/10.1007/s00145-004-0231-yopenalex-snapshot
An Extension of Kedlaya's Algorithm to Hyperelliptic Curves in Characteristic 2
inferred← citeshttps://doi.org/10.1007/s00145-008-9023-0openalex-snapshot
Constructive and Destructive Use of Compilers in Elliptic Curve Cryptography
inferred← citeshttps://doi.org/10.1007/s00145-013-9158-5openalex-snapshot
Using Symmetries in the Index Calculus for Elliptic Curves Discrete Logarithm
inferred← citeshttps://doi.org/10.1007/s00145-016-9227-7openalex-snapshot
Jacobian Coordinates on Genus 2 Curves
inferred← citeshttps://doi.org/10.1007/s00145-019-09320-4openalex-snapshot
Kummer for Genus One Over Prime-Order Fields
inferred← citeshttps://doi.org/10.1007/s001450010013openalex-snapshot
Computing Discrete Logarithms in Quadratic Orders
inferred← citeshttps://doi.org/10.1007/s00200-004-0154-8openalex-snapshot
Formulae for Arithmetic on Genus 2 Hyperelliptic Curves
inferred← citeshttps://doi.org/10.1007/s00200-016-0299-2openalex-snapshot
A simple method for obtaining relations among factor basis elements for special hyperelliptic curves
inferred← citeshttps://doi.org/10.1007/s002000100092openalex-snapshot
Isomorphism Classes of Genus-2 Hyperelliptic Curves Over Finite Fields
inferred← citeshttps://doi.org/10.1007/s00209-004-0750-0openalex-snapshot
Curves of genus two over fields of even characteristic
inferred← citeshttps://doi.org/10.1007/s10114-010-7186-8openalex-snapshot
Counting isomorphism classes of pointed hyperelliptic curves of genus 4 over finite fields with even characteristic
inferred← citeshttps://doi.org/10.1007/s10208-002-0066-6openalex-snapshot
Computing Zeta Functions of Kummer Curves via Multiplicative Characters
inferred← citeshttps://doi.org/10.1007/s10440-006-9045-2openalex-snapshot
A Review on the Isomorphism Classes of Hyperelliptic Curves of Genus 2 over Finite Fields Admitting a Weierstrass Point
inferred← citeshttps://doi.org/10.1007/s10440-006-9046-1openalex-snapshot
Efficient Software-Implementation of Finite Fields with Applications to Cryptography
inferred← citeshttps://doi.org/10.1007/s10440-006-9072-zopenalex-snapshot
Efficient Hardware Implementation of Finite Fields with Applications to Cryptography
inferred← citeshttps://doi.org/10.1007/s10623-006-9033-6openalex-snapshot
Efficient pairing computation on supersingular Abelian varieties
inferred← citeshttps://doi.org/10.1007/s10623-010-9439-zopenalex-snapshot
On the distribution of the coefficients of normal forms for Frobenius expansions
inferred← citeshttps://doi.org/10.1007/s10623-016-0184-9openalex-snapshot
A new method for decomposition in the Jacobian of small genus hyperelliptic curves
inferred← citeshttps://doi.org/10.1007/s11042-014-2283-9openalex-snapshot
An efficient signcryption scheme with forward secrecy and public verifiability based on hyper elliptic curve cryptography
inferred← citeshttps://doi.org/10.1007/s11128-019-2562-5openalex-snapshot
Quantum algorithm for solving hyperelliptic curve discrete logarithm problem
inferred← citeshttps://doi.org/10.1007/s11128-023-04017-xopenalex-snapshot
Quantum circuits for hyperelliptic curve discrete logarithms over the Mersenne prime fields
inferred← citeshttps://doi.org/10.1007/s11139-006-0151-6openalex-snapshot
A quasi quadratic time algorithm for hyperelliptic curve point counting
inferred← citeshttps://doi.org/10.1007/s11227-021-03861-xopenalex-snapshot
Improved authentication and computation of medical data transmission in the secure IoT using hyperelliptic curve cryptography
inferred← citeshttps://doi.org/10.1007/s11425-004-0043-4openalex-snapshot
Isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic 2
inferred← citeshttps://doi.org/10.1007/s11432-014-5155-zopenalex-snapshot
Cryptography on twisted Edwards curves over local fields
inferred← citeshttps://doi.org/10.1007/s12083-020-01044-8openalex-snapshot
Blind signcryption scheme based on hyper elliptic curves cryptosystem
inferred← citeshttps://doi.org/10.1007/s12083-024-01699-7openalex-snapshot
Authenticated key agreement for IoT network using HECC and CRT four co-primes
inferred← citeshttps://doi.org/10.1007/s12095-024-00713-2openalex-snapshot
Mumford representation and Riemann-Roch space of a divisor on a hyperelliptic curve
inferred← citeshttps://doi.org/10.1007/s12190-017-1149-5openalex-snapshot
Some properties of $${\tau }$$ τ -adic expansions on hyperelliptic Koblitz curves
inferred← citeshttps://doi.org/10.1007/s13389-024-00351-7openalex-snapshot
Complete group law for genus 2 Jacobians on Jacobian coordinates
inferred← citeshttps://doi.org/10.1007/s40012-013-0010-8openalex-snapshot
“A framework for development of secure software”
inferred← citeshttps://doi.org/10.1016/j.amc.2021.126239openalex-snapshot
Fast scalar multiplication of degenerate divisors for hyperelliptic curve cryptosystems
inferred← citeshttps://doi.org/10.1016/j.comnet.2022.109077openalex-snapshot
A PLS-HECC-based device authentication and key agreement scheme for smart home networks
inferred← citeshttps://doi.org/10.1016/j.comnet.2024.110516openalex-snapshot
Provably secure optimal homomorphic signcryption for satellite-based internet of things
inferred← citeshttps://doi.org/10.1016/j.ejc.2007.06.007openalex-snapshot
Counting isomorphism classes of pointed hyperelliptic curves of genus 4 over finite fields with odd characteristic
inferred← citeshttps://doi.org/10.1016/j.ffa.2003.08.002openalex-snapshot
Hyperelliptic curves of genus three over finite fields of even characteristic
inferred← citeshttps://doi.org/10.1016/j.ffa.2003.12.003openalex-snapshot
Isomorphism classes of elliptic and hyperelliptic curves over finite fields F(2g+1)n
inferred← citeshttps://doi.org/10.1016/j.ffa.2004.07.001openalex-snapshot
Koblitz curve cryptosystems
inferred← citeshttps://doi.org/10.1016/j.ffa.2005.01.003openalex-snapshot
Counting points on Cab curves using Monsky–Washnitzer cohomology
inferred← citeshttps://doi.org/10.1016/j.ffa.2005.05.001openalex-snapshot
Algebraic curves and cryptography
inferred← citeshttps://doi.org/10.1016/j.ffa.2005.05.006openalex-snapshot
Isomorphism classes of hyperelliptic curves of genus 3 over finite fields
inferred← citeshttps://doi.org/10.1016/j.ffa.2013.01.006openalex-snapshot
Characteristic polynomials of the curve v2=up−au−b over finite fields of characteristic p
inferred← citeshttps://doi.org/10.1016/j.ipl.2011.02.011openalex-snapshot
Faster pairing computation on genus 2 hyperelliptic curves
inferred← citeshttps://doi.org/10.1016/j.ipl.2013.03.014openalex-snapshot
Efficiently computable endomorphism for genus 3 hyperelliptic curve cryptosystems
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Gauss composition for P 1 , and the universal Jacobian of the Hurwitz space of double covers
inferred← citeshttps://doi.org/10.1016/j.jco.2003.08.009openalex-snapshot
Computing zeta functions of Artin-Schreier curves over finite fields II
inferred← citeshttps://doi.org/10.1016/j.jisa.2022.103346openalex-snapshot
A perspective trend of hyperelliptic curve cryptosystem for lighted weighted environments
inferred← citeshttps://doi.org/10.1016/j.jksuci.2013.05.001openalex-snapshot
Certificateless short sequential and broadcast multisignature schemes using elliptic curve bilinear pairings
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Elliptic curve cryptography: The serpentine course of a paradigm shift
inferred← citeshttps://doi.org/10.1016/j.jpaa.2003.10.017openalex-snapshot
Remarks on the zeta function of some diagonal hyperelliptic curves
inferred← citeshttps://doi.org/10.1016/j.jsc.2013.05.008openalex-snapshot
Group arithmetic in C3,5 curves
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Enhancing security and privacy in smart agriculture: A novel homomorphic signcryption system
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Design and design methods for unified multiplier and inverter and its application for HECC
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