Abstract
We show that for every odd integer p ≥ 1 there is an absolute positive constant cp, so that the maximum cardinality of a set of vectors in Rn such that the lp distance between any pair is precisely 1, is at most cpn log n. We prove some upper bounds for other lp norms as well.
Original language | English (US) |
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Pages (from-to) | 467-482 |
Number of pages | 16 |
Journal | Geometric and Functional Analysis |
Volume | 13 |
Issue number | 3 |
DOIs | |
State | Published - Sep 8 2003 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis
- Geometry and Topology