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Abstract
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We construct a sequence of lattices
for
with exponentially large kissing numbers, namely,
.
We also show that the maximum lattice kissing number
in
dimensions
satisfies
for any
.
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Keywords
lattices, algebraic geometry codes, kissing numbers,
Drinfeld modular curves
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Mathematical Subject Classification 2010
Primary: 11H31, 11H71, 14G15, 52C17
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Milestones
Received: 22 August 2018
Revised: 3 October 2018
Accepted: 18 October 2018
Published: 20 May 2019
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