Abstract
Mergers are functions that transform k (possibly dependent) random sources into a single random source, in a way that ensures that if one of the input sources has min-entropy rate δ then the output has min-entropy rate close to δ. Mergers have proven to be a very useful tool in explicit constructions of extractors and condensers, and are also interesting objects in their own right. In this work we present a new analysis of the merger construction of [6]. Our analysis shows that the min-entropy rate of this merger's output is actually 0.52 · δ instead of 0.5·δ, where δ is the min-entropy rate of one of the inputs. To obtain this result we deviate from the usual linear algebra methods that were used by [6] and introduce a new technique that involves results from additive number theory.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 270-281 |
| Number of pages | 12 |
| Journal | LECTURE NOTES IN COMPUTER SCIENCE |
| Volume | 3624 |
| DOIs | |
| State | Published - 2005 |
| Externally published | Yes |
| Event | 8th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2005 and 9th International Workshop on Randomization and Computation, RANDOM 2005 - Berkeley, CA, United States Duration: Aug 22 2005 → Aug 24 2005 |
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Computer Science(all)