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Key-exchange in real quadratic congruence function fields
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-662-02945-9openalex-snapshot
A Course in Computational Algebraic Number Theory
inferredcites →https://doi.org/10.1007/bf01174341openalex-snapshot
Analytische Zahlentheorie in K�rpern der Charakteristikp
inferredcites →https://doi.org/10.1007/bf01181074openalex-snapshot
Quadratische K�rper im Gebiete der h�heren Kongruenzen. I.
inferredcites →https://doi.org/10.1007/bf02318548openalex-snapshot
A key-exchange protocol using real quadratic fields
inferredcites →https://doi.org/10.1007/bfb0060944openalex-snapshot
Lectures on the Theory of Algebraic Functions of One Variable
inferredcites →https://doi.org/10.1007/bfb0099440openalex-snapshot
Heuristics on class groups of number fields
inferredcites →https://doi.org/10.1017/cbo9780511662027.007openalex-snapshot
On the calculation of regulators and class numbers of quadratic fields
inferredcites →https://doi.org/10.1109/49.223883openalex-snapshot
An implementation of elliptic curve cryptosystems over F/sub 2/155
inferredcites →https://doi.org/10.1109/tit.1976.1055638openalex-snapshot
New directions in cryptography
inferredcites →https://doi.org/10.1145/120694.120719openalex-snapshot
An algorithm for determining the regulator and the fundamental unit of hyperelliptic congruence function field
inferredcites →https://doi.org/10.1515/9783110852790.227openalex-snapshot
On the distribution of divisor class groups of curves over a finite field
inferredcites →https://doi.org/10.5802/jtnb.191openalex-snapshot
Equivalences between elliptic curves and real quadratic congruence function fields
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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The Continued Fraction Algorithm and Regulator for Quadratic Function Fields of Characteristic 2
inferred← citeshttps://doi.org/10.1006/jcom.2000.0542openalex-snapshot
Decision Problems in Quadratic Function Fields of High Genus
inferred← citeshttps://doi.org/10.1007/3-540-45455-1_10openalex-snapshot
Computational Aspects of NUCOMP
inferred← citeshttps://doi.org/10.1007/3-540-61581-4_68openalex-snapshot
Elliptic congruence function fields
inferred← citeshttps://doi.org/10.1007/978-1-4757-6856-5_5openalex-snapshot
The State of Elliptic Curve Cryptography
inferred← citeshttps://doi.org/10.1007/978-3-030-36237-9_11openalex-snapshot
Jacobian Versus Infrastructure in Split Hyperelliptic Curves
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/10.1007/978-3-540-79456-1_23openalex-snapshot
Efficient Hyperelliptic Arithmetic Using Balanced Representation for Divisors
inferred← citeshttps://doi.org/10.1007/978-3-642-57189-3_3openalex-snapshot
Continued Fractions in Hyperelliptic Function Fields
inferred← citeshttps://doi.org/10.1007/bfb0034831openalex-snapshot
Cryptographic protocols based on real-quadratic A-fields (extended abstract)
inferred← citeshttps://doi.org/10.1007/bfb0054894openalex-snapshot
Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves
inferred← citeshttps://doi.org/10.1007/bfb0054896openalex-snapshot
An improved method of computing the regulator of a real quadratic function field
inferred← citeshttps://doi.org/10.1007/bfb0054897openalex-snapshot
The equivalence between elliptic curve and quadratic function field discrete logarithms in characteristic 2
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/s00145-005-0357-6openalex-snapshot
An Improved Real-Quadratic-Field-Based Key Exchange Procedure
inferred← citeshttps://doi.org/10.1023/a:1008240113843openalex-snapshot
Discrete Logarithm Based Cryptosystems in Quadratic Function Fields of Characteristic 2
inferred← citeshttps://doi.org/10.1023/a:1008346322837openalex-snapshot
Cryptography in Quadratic Function Fields
inferred← citeshttps://doi.org/10.1023/a:1008354106356openalex-snapshot
The State of Elliptic Curve Cryptography
inferred← citeshttps://doi.org/10.1080/10586458.1999.10504394openalex-snapshot
Some Methods for Evaluating the Regulator of a Real Quadratic Function Field
inferred← citeshttps://doi.org/10.1090/s0025-5718-00-01297-7openalex-snapshot
Arithmetic on superelliptic curves
inferred← citeshttps://doi.org/10.1090/s0025-5718-01-01343-6openalex-snapshot
The parallelized Pollard kangaroo method in real quadratic function fields
inferred← citeshttps://doi.org/10.1090/s0025-5718-01-01352-7openalex-snapshot
Smooth ideals in hyperelliptic function fields
inferred← citeshttps://doi.org/10.1090/s0025-5718-01-01385-0openalex-snapshot
Explicit bounds and heuristics on class numbers in hyperelliptic function fields
inferred← citeshttps://doi.org/10.1090/s0025-5718-2011-02490-7openalex-snapshot
The infrastructure of a global field of arbitrary unit rank
inferred← citeshttps://doi.org/10.1090/s0025-5718-99-01040-6openalex-snapshot
Computing discrete logarithms in real quadratic congruence function fields of large genus
inferred← citeshttps://doi.org/10.1090/s0025-5718-99-01066-2openalex-snapshot
Real and imaginary quadratic representations of hyperelliptic function fields
inferred← citeshttps://doi.org/10.1090/s0025-5718-99-01154-0openalex-snapshot
Class group frequencies of real quadratic function fields: The degree 4 case
inferred← citeshttps://doi.org/10.1109/jiot.2020.2964015openalex-snapshot
Practical and Secure Outsourcing Algorithms for Solving Quadratic Congruences in Internet of Things
inferred← citeshttps://doi.org/10.1145/1394042.1394068openalex-snapshot
Abstract Infrastructures of Unit Rank Two (abstract only)
inferred← citeshttps://doi.org/10.1145/258726.258848openalex-snapshot
SIMATH---a computer algebra system for number theoretic applications
inferred← citeshttps://doi.org/10.1515/9783110881035.89openalex-snapshot
The efficiency and security of a real quadratic field based key exchange protocol
inferred← citeshttps://doi.org/10.22028/d291-26020openalex-snapshot
Galoisdarstellungen auf den Torsionspunkten von Drinfeld-Moduln des Rangs zwei
inferred← citeshttps://doi.org/10.2478/v10127-010-0030-9openalex-snapshot
Cryptographic aspects of real hyperelliptic curves
inferred← citeshttps://doi.org/10.3336/gm.44.1.05openalex-snapshot
Explicit infrastructure for real quadratic function fields and real hyperelliptic curves
inferred← citeshttps://doi.org/10.3934/amc.2007.1.197openalex-snapshot
Cryptographic protocols on real hyperelliptic curves
inferred← citeshttps://doi.org/10.3934/amc.2008.2.293openalex-snapshot
Groups from cyclic infrastructures and Pohlig-Hellman in certain infrastructures
inferred← citeshttps://doi.org/10.3934/amc.2011.5.623openalex-snapshot
Explicit formulas for real hyperelliptic curves of genus 2 in affine representation
inferred← citeshttps://doi.org/10.3934/amc.2014.8.389openalex-snapshot
Comparison of scalar multiplication on real hyperelliptic curves
inferred← citeshttps://doi.org/10.6100/ir640148openalex-snapshot
Efficient arithmetic on low-genus curves
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