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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Record
| Original publisher | Hacker News (Newest) |
| Canonical URL | https://leetarxiv.substack.com/p/individual-logarithm-reduction-step |
| Publication time | Mon, 25 May 2026 07:30:59 +0000 |
| Retrieval time | 2026-05-25T07:37:36.533Z |
| Last seen | 2026-05-25T07:37:36.533Z |
| Headline source | Publisher (no WeSearch rewrite) |
| Excerpt source | publisher body |
| Excerpt method | First ~120 words (~800 chars) of extracted publisher body, fair-use limited. |
| Summary | WeSearch · cerebras-chat (WeSearch summarizer) |
| Summary source text | contentText |
| Citation coverage | Summary is a WeSearch-generated derivative; primary citation is the original publisher URL. |
| Cluster | LvanYEM-jHL1 · 2 stories |
| Cluster logic | Grouped by semantic title/content similarity across sources within a rolling window. Same-publisher template collisions are excluded from coverage comparison. |
| Ranking reason | Story pages are not engagement-ranked. Hub feeds use recency, with optional source-diversified chronological ordering (cap consecutive stories per source). No personalized ranking. |
| Publisher visit | Yes — open original |
| Substitutes article? | No — link-out required for full text |
Rights status (four layers)
WeSearch handling by dimension
| Indexing | May the item be indexed (stored, ranked, made findable)? | Allowed |
| Snippet | May a short excerpt of the publisher's text be shown? | Allowed |
| AI summary | May WeSearch generate its own short summary of the article? | Limited |
| Retrieval / RAG | May the content be exposed for third-party retrieval-augmented generation? | Not asserted |
| Model training | May the content be used to train AI models? | Not asserted |
| Commercial reuse | May the content be reused commercially? | Not permitted |
Basis: Derived from the published RSS/Atom feed. Contact: [email protected]. Reviewed: 2026-07-24.
Opening excerpt (first ~120 words) tap to expand
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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Excerpt limited to ~120 words for fair-use compliance. The full article is at Hacker News (Newest).
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