Masoud Zargar

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20172024

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math.MG2024

Stiefel manifolds and upper bounds for spherical codes and packings

Masoud Zargar

We improve upper bounds on sphere packing densities and sizes of spherical codes in high dimensions. In particular, we prove that the maximal sphere packing densities $δ_{n}$ in $\ma…

math.MG2020

New upper bounds for spherical codes and packings

Naser T. Sardari, Masoud Zargar

We improve the previously best known upper bounds on the sizes of $θ$ -spherical codes for every $θ < θ^{*} \approx 62.99 7^{\circ}$ at least by a factor of $0.4325$ , in sufficiently high…