New p-dimensional lattices from cyclic extensions

José Valter Lopes Nunes, J. Carmelo Interlando, Trajano Pires da Nóbrega Neto, José Othon Dantas Lopes · Journal of Algebra and Its Applications · 2016

In this work, [Formula: see text]-dimensional point-lattices are constructed from a number field [Formula: see text], where [Formula: see text] is a cyclic extension of degree [Formula: see text], an odd unramified prime in [Formula: see text]. Families of lattices whose packing densities asymptotically approach those of [Formula: see text], [Formula: see text], are explicitly exhibited.

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