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math.MG2022
Multiple Packing: Lower Bounds via Error Exponents
Yihan Zhang, Shashank Vatedka
We derive lower bounds on the maximal rates for multiple packings in high-dimensional Euclidean spaces. Multiple packing is a natural generalization of the sphere packing problem.…
math.MG2022
Multiple Packing: Lower Bounds via Infinite Constellations
Yihan Zhang, Shashank Vatedka
We study the problem of high-dimensional multiple packing in Euclidean space. Multiple packing is a natural generalization of sphere packing and is defined as follows. Let …
math.MG2022★ 2 cited
Multiple Packing: Lower and Upper Bounds
Yihan Zhang, Shashank Vatedka
We study the problem of high-dimensional multiple packing in Euclidean space. Multiple packing is a natural generalization of sphere packing and is defined as follows. Let …