Individual Logarithm Reduction Step of Discrete Logarithm Problem
The article discusses the final phase of solving discrete logarithm problems (DLPs) using Damian Weber's Sieve Reduction Algorithm. This phase, known as the Reduction or Descent Phase, involves converting a large integer into a product of smaller prime numbers. The article outlines the steps involved in this reduction process and provides a numerical example for clarity.
- ▪The goal of the reduction phase is to factor a large integer into primes over a factor base.
- ▪The algorithm includes steps such as finding rational reconstruction, prime factorization, and constructing sieving polynomials.
- ▪A numerical example is provided to illustrate the process of solving a specific DLP.
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Playback speed×Share postShare post at current timeShare from 0:000:00/Individual Logarithm Reduction StepDamian Weber's Sieve Reduction Algorithm for Descend Phase of DLPMurage KibichoMay 24, 2026ShareQuick SummaryThis is the final phase of solving DLPs. Our goal is to convert a big integer into a product of small prime numbers over our factor base.LeetArxiv is a reader-supported publication. To receive new posts and support my work, consider becoming a free or paid subscriber.SubscribeSummary of the reduction step. Taken from Section 3.1 of (Weber, 1997)We assume familiarity with index calculus techniques.
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