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A public-key cryptosystem and a digital signature system based on the Lucas function analogue to discrete logarithms
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/0-387-34799-2_7openalex-snapshot
Intractable Problems in Number Theory
inferredcites →https://doi.org/10.1007/3-540-48329-2_14openalex-snapshot
An implementation of the general number field sieve
inferredcites →https://doi.org/10.1007/3-540-48329-2_15openalex-snapshot
On the factorization of RSA-120
inferredcites →https://doi.org/10.1016/b978-0-12-386870-1.50014-9openalex-snapshot
Fast, Rigorous Factorization and Discrete Logarithm Algorithms
inferredcites →https://doi.org/10.1109/18.259647openalex-snapshot
Reducing elliptic curve logarithms to logarithms in a finite field
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/10.1137/0406010openalex-snapshot
Discrete Logarithms in $GF ( P )$ Using the Number Field Sieve
inferredcites →https://doi.org/10.2307/1968235openalex-snapshot
An Extended Theory of Lucas' Functions
inferredcites →https://doi.org/10.2307/2369308openalex-snapshot
Theorie des Fonctions Numeriques Simplement Periodiques
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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New LFSR-Based Cryptosystems and the Trace Discrete Log Problem (Trace-DLP)
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On the Discrete Logarithm Problem on Algebraic Tori
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A New Algorithm to Compute Remote Terms in Special Types of Characteristic Sequences
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Efficient Subgroup Exponentiation in Quadratic and Sixth Degree Extensions
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Some Remarks on Lucas-Based Cryptosystems
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Evidence that XTR Is More Secure than Supersingular Elliptic Curve Cryptosystems
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Unbelievable Security Matching AES Security Using Public Key Systems
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Hidden Number Problem with the Trace and Bit Security of XTR and LUC
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Generalised Cycling Attacks on RSA and Strong RSA Primes
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Cryptography and Lucas Sequence Discrete Logarithms
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inferred← citeshttps://doi.org/10.1007/978-3-030-60890-3_3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-030-71522-9_300281openalex-snapshot
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Efficient Compression of SIDH Public Keys
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A Comparison of CEILIDH and XTR
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Using Primitive Subgroups to Do More with Fewer Bits
inferred← citeshttps://doi.org/10.1007/978-3-540-28632-5_28openalex-snapshot
XTR Implementation on Reconfigurable Hardware
inferred← citeshttps://doi.org/10.1007/978-3-540-30144-8_8openalex-snapshot
Chameleon Hashing Without Key Exposure
inferred← citeshttps://doi.org/10.1007/978-3-540-30191-2_34openalex-snapshot
Transient Fault Induction Attacks on XTR
inferred← citeshttps://doi.org/10.1007/978-3-540-45146-4_21openalex-snapshot
Torus-Based Cryptography
inferred← citeshttps://doi.org/10.1007/978-3-540-48000-6_26openalex-snapshot
Doing More with Fewer Bits
inferred← citeshttps://doi.org/10.1007/978-3-540-72905-1_9openalex-snapshot
Efficient Linkable Ring Signatures and Threshold Signatures from Linear Feedback Shift Register
inferred← citeshttps://doi.org/10.1007/978-3-540-74462-7_21openalex-snapshot
Pairing Calculation on Supersingular Genus 2 Curves
inferred← citeshttps://doi.org/10.1007/978-3-540-77090-9_66openalex-snapshot
Linkable Ring Signatures from Linear Feedback Shift Register
inferred← citeshttps://doi.org/10.1007/978-3-642-10433-6_3openalex-snapshot
On Cryptographic Schemes Based on Discrete Logarithms and Factoring
inferred← citeshttps://doi.org/10.1007/978-3-642-10868-6_20openalex-snapshot
Double-Exponentiation in Factor-4 Groups and Its Applications
inferred← citeshttps://doi.org/10.1007/978-3-642-13013-7_13openalex-snapshot
Faster Squaring in the Cyclotomic Subgroup of Sixth Degree Extensions
inferred← citeshttps://doi.org/10.1007/978-3-642-17619-7_12openalex-snapshot
Generating Parameters for Algebraic Torus-Based Cryptosystems
inferred← citeshttps://doi.org/10.1007/978-3-642-36334-4_2openalex-snapshot
Factor-4 and 6 (De)Compression for Values of Pairings Using Trace Maps
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Exponential Sums and Lattice Reduction: Applications to Cryptography
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Improving NFS for the Discrete Logarithm Problem in Non-prime Finite Fields
inferred← citeshttps://doi.org/10.1007/s00145-004-0313-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00145-008-9022-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/springerreference_197openalex-snapshot
Data encryption standard (DES)
inferred← citeshttps://doi.org/10.1016/j.amc.2008.06.014openalex-snapshot
Aitken and Neville inverse interpolation methods for the Lucas logarithm problem
inferred← citeshttps://doi.org/10.1016/j.cam.2013.10.005openalex-snapshot
Message transmission for GH-public key cryptosystem
inferred← citeshttps://doi.org/10.1016/j.cam.2013.10.022openalex-snapshot
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Applications to cryptography of twisting commutative algebraic groups
inferred← citeshttps://doi.org/10.1016/j.ffa.2005.05.010openalex-snapshot
Polynomial representations of the Lucas logarithm
inferred← citeshttps://doi.org/10.1016/j.ffa.2006.05.004openalex-snapshot
An efficient probabilistic public-key cryptosystem over quadratic fields quotients
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Common modulus and chosen-message attacks on public-key schemes with linear recurrence relations
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A method for computing Lucas sequences
inferred← citeshttps://doi.org/10.1063/5.0192245openalex-snapshot
The security analysis of GCD attack on LUCELG, LUC(3)ELG and LUC(4,6)ELG
inferred← citeshttps://doi.org/10.1090/dimacs/038/03openalex-snapshot
Cryptanalysis of RSA-type cryptosystems: A visit
inferred← citeshttps://doi.org/10.1090/s0025-5718-2012-02625-1openalex-snapshot
Squaring in cyclotomic subgroups
inferred← citeshttps://doi.org/10.1093/ietfec/e91-a.10.2843openalex-snapshot
A More Compact Representation of XTR Cryptosystem
inferred← citeshttps://doi.org/10.1109/18.796413openalex-snapshot
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A new convertible group signature scheme on the basis of dual complexities
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Efficient key agreement and signature schemes using compact representations in GF(p/sup10/)
inferred← citeshttps://doi.org/10.1109/isit.2006.261794openalex-snapshot
Integrated DH-like Key Exchange Protocols from LUC, GH and XTR
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Maximum Variance Image Segmentation Based on Improved Genetic Algorithm
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An Automatic Target Detection Post-Processing Algorithm Based on Swarm Intelligence
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On the Security of Public-Key Algorithms Based on Chebyshev Polynomials over the Finite Field $Z_N$
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On Small Characteristic Algebraic Tori in Pairing-Based Cryptography
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Compression in Finite Fields and Torus-Based Cryptography
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COMPUTATIONAL METHODS IN PUBLIC KEY CRYPTOLOGY
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An efficient exponentiation method against side channel attacks in Torus-Based-Cryptosystem
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Algebraic generalization of Diffie–Hellman key exchange
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Use of recurrent sequences to construct cryptographic methods with the public key
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An attack on ELG-LUC3-ECC cryptosystem using Hastad's and Julta's theorem
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LUC Image Encryption Enhancement Using a Hyper-Chaotic System and DNA
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Public-Key Cryptography Based on a Cubic Extension of the Lucas Functions
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A New Code Based Signature Scheme for Blockchain Technology
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PRIME NUMBERS AND CRYPTOSYSTEMS BASED ON DISCRETE LOGARITHMS
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Some Public-key Cryptosystems Over Finite Fields
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Security Analysis on LUC-type Cryptosystems Using Common Modulus Attack
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A New Digital Signature Algorithm Similar to ELGamal Type
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Quelques mathématiques de la cryptographie à clés publiques
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Point compression for the trace zero subgroup over a small degree extension field
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Transitive Signature Scheme from LFSR
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