50 citations · 79 across the 14 of their papers we have counts for
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math.NT2016
Construction of Arakelov-modular Lattices from Number Fields
Xiaolu Hou
An Arakelov-modular lattice of level , where is a positive integer, is an modular lattice constructed from a fractional ideal of a CM field such that the lattic…
cs.IT2016
Modular Lattices from a Variation of Construction A over Number Fields
Xiaolu Hou, Frédérique Oggier
We consider a variation of Construction A of lattices from linear codes based on two classes of number fields, totally real and CM Galois number fields. We propose a generic constr…
math.RA2016
Construction of Arakelov-modular Lattices over Totally Definite Quaternion Algebras
Xiaolu Hou
We study ideal lattices constructed from totally definite quaternion algebras over totally real number fields, and generalize the definition of Arakelov-modular lattices over numbe…