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A New Baby-Step Giant-Step Algorithm and Some Applications to Cryptanalysis

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/0-387-34805-0_22openalex-snapshot
Efficient Identification and Signatures for Smart Cards
inferredcites →https://doi.org/10.1007/10958513_9openalex-snapshot
A Fast Signature Scheme Based on New On-line Computation
inferredcites →https://doi.org/10.1007/3-540-36504-4_12openalex-snapshot
An Improved Fast Signature Scheme without Online Multiplication
inferredcites →https://doi.org/10.1007/3-540-45539-6_15openalex-snapshot
Practical Threshold Signatures
inferredcites →https://doi.org/10.1007/3-540-45961-8_11openalex-snapshot
A Practical Zero-Knowledge Protocol Fitted to Security Microprocessor Minimizing Both Transmission and Memory
inferredcites →https://doi.org/10.1007/3-540-46416-6_42openalex-snapshot
Self-certified public keys
inferredcites →https://doi.org/10.1007/3-540-46885-4_68openalex-snapshot
Efficient Identification and Signatures for Smart Cards
inferredcites →https://doi.org/10.1007/3-540-47721-7_12openalex-snapshot
How To Prove Yourself: Practical Solutions to Identification and Signature Problems
inferredcites →https://doi.org/10.1007/978-3-540-28632-5_30openalex-snapshot
Public Key Authentication with One (Online) Single Addition
inferredcites →https://doi.org/10.1007/978-3-540-45126-6_10openalex-snapshot
Cryptanalysis of the OTM Signature Scheme from FC’02
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/bfb0054143openalex-snapshot
Security analysis of a practical “on the fly” authentication and signature generation
inferredcites →https://doi.org/10.1016/s0166-218x(02)00588-7openalex-snapshot
Random small Hamming weight products with applications to cryptography
inferredcites →https://doi.org/10.1023/a:1008350005447openalex-snapshot
Discrete Logarithms: The Past and the Future
inferredcites →https://doi.org/10.1090/s0025-5718-01-01310-2openalex-snapshot
Some baby-step giant-step algorithms for the low hamming weight discrete logarithm problem
inferredcites →https://doi.org/10.1090/s0025-5718-1978-0491431-9openalex-snapshot
Monte Carlo methods for index computation (𝑚𝑜𝑑𝑝)
inferredcites →https://doi.org/10.1108/ir.1999.04926fae.001openalex-snapshot
Lecture Notes in Computer Science 1205
inferredcites →https://doi.org/10.1109/tit.1976.1055638openalex-snapshot
New directions in cryptography
inferredcites →https://doi.org/10.1145/357980.358017openalex-snapshot
A method for obtaining digital signatures and public-key cryptosystems
inferredcites →https://doi.org/10.1145/359340.359342openalex-snapshot
A method for obtaining digital signatures and public-key cryptosystems
inferredcites →https://doi.org/10.2307/2006496openalex-snapshot
Monte Carlo Methods for Index Computation (mod p)

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Hard Instances of the Constrained Discrete Logarithm Problem
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A Practical and Tightly Secure Signature Scheme Without Hash Function
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Public Key Cryptography and RFID Tags
inferred← citeshttps://doi.org/10.1007/978-3-319-59870-3_31openalex-snapshot
Solving the DLP with Low Hamming Weight Product Exponents and Improved Attacks on the GPS Identification Scheme
inferred← citeshttps://doi.org/10.1007/978-3-319-72565-9_6openalex-snapshot
Computing Low-Weight Discrete Logarithms
inferred← citeshttps://doi.org/10.1007/978-3-540-78440-1_19openalex-snapshot
A Parameterized Splitting System and Its Application to the Discrete Logarithm Problem with Low Hamming Weight Product Exponents
inferred← citeshttps://doi.org/10.1007/978-3-540-85053-3_13openalex-snapshot
The Carry Leakage on the Randomized Exponent Countermeasure
inferred← citeshttps://doi.org/10.1016/j.dam.2007.09.018openalex-snapshot
Analysis of Low Hamming Weight Products
inferred← citeshttps://doi.org/10.1093/comjnl/bxz040openalex-snapshot
Cryptanalysis of Server-Aided RSA Protocols with Private-Key Splitting
inferred← citeshttps://doi.org/10.1109/fdtc.2009.36openalex-snapshot
Fault Attack on Schnorr Based Identification and Signature Schemes
inferred← citeshttps://doi.org/10.1109/icacci.2014.6968403openalex-snapshot
Smart card based password authentication and user anonymity scheme using ECC and steganography
inferred← citeshttps://doi.org/10.1109/reconfig.2012.6416754openalex-snapshot
Hardware implementation of the GPS authentication
inferred← citeshttps://doi.org/10.1109/roedunet68395.2025.11208453openalex-snapshot
Practical Cryptanalysis of ECDSA: Comparative Efficiency Analysis of Brute-Force and Baby-Step Giant-Step Key Recovery Methods
inferred← citeshttps://doi.org/10.1109/tdsc.2022.3218793openalex-snapshot
Hercules: Boosting the Performance of Privacy-Preserving Federated Learning
inferred← citeshttps://doi.org/10.1109/tdsc.2022.3228236openalex-snapshot
ACA: Anonymous, Confidential and Auditable Transaction Systems for Blockchain
inferred← citeshttps://doi.org/10.1109/tit.2010.2044071openalex-snapshot
Parameterized Splitting Systems for the Discrete Logarithm
inferred← citeshttps://doi.org/10.3390/e16095144openalex-snapshot
Nonlinearities in Elliptic Curve Authentication
inferred← citeshttps://doi.org/10.3390/math11010122openalex-snapshot
Optimal Elliptic-Curve Subspaces for Applications in Double-Authenticated Requests in Mobile Distributed Data Mining
inferred← citeshttps://doi.org/10.4018/ijdcf.2019070105openalex-snapshot
Cloud-ElGamal and Fast Cloud-RSA Homomorphic Schemes for Protecting Data Confidentiality in Cloud Computing
inferred← citeshttps://doi.org/10.4236/ijcns.2010.37077openalex-snapshot
Hybrid Authentication Cybersystem Based on Discrete Logarithm, Factorization and Array Entanglements
inferred← citeshttps://doi.org/10.48550/arxiv.math/0606771openalex-snapshot
Hard Instances of the Constrained Discrete Logarithm Problem
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