Isodiametric inequality for vector spaces

A theorem of Kleitman states that a collection of binary vectors with diameter d has cardinality at most that of a Hamming ball of radius d/2. In this paper, we give a q-analog of it.

Publication Details

Journal
ArXiv.org
Published
2025-03-24
Primary Topic
X-ray Diffraction in Crystallography
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article
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article

Isodiametric inequality for vector spaces

ArXiv.org
X-ray Diffraction in Crystallography
article

Isodiametric inequality for vector spaces

article en

Abstract

A theorem of Kleitman states that a collection of binary vectors with diameter d has cardinality at most that of a Hamming ball of radius d/2. In this paper, we give a q-analog of it.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 60%
X-ray Diffraction in Crystallography
Open Access PDFOpenAlex
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Isodiametric inequality for vector spaces · ArXiv.org (2025) | TGRS Research Map | TGRS