New lower bounds for the Hadwiger numbers of ℓp balls for p < 2

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (1999) New lower bounds for the Hadwiger numbers of ℓp balls for p < 2. Applied Mathematics Letters, 12 (5). pp. 57-60. ISSN 0893-9659

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Identification Number: 10.1016/S0893-9659(99)00057-9

Abstract

In this note, we derive an asymptotic lower bound for the size of constant weight binary codes that is exponential in the code length, if both the minimum distance and the weight grow in proportion to the code length. We use this bound to find new lower bounds for the Hadwiger and weak Hadwiger numbers of d-dimensional ℓp balls in the case 1 ≤ p < 2.

Item Type:	Article
Official URL:	http://www.elsevier.com/wps/find/journaldescriptio...
Additional Information:	© 1999 Elsevier
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	16 Oct 2009 09:43
Last Modified:	11 Dec 2024 22:10
URI:	http://eprints.lse.ac.uk/id/eprint/25455

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