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Eisenstein lattices, Galois rings, and theta series

Eisenstein lattices, Galois rings, and theta series.
descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2004 English Publisher:Elsevier BVJournal:European Journal of Combinatorics, volume 25, pages 179-185 (issn: 0195-6698, Copyright policy )
Authors: Kok Seng Chua; Patrick Solé;

doi: 10.1016/s0195-6698(03)00098-2

Eisenstein lattices, Galois rings, and theta series

Abstract

Hermitian lattices over the ring \(R\) of Eisenstein integers are obtained by lifting codes over \(R/4R\) (``Construction A''). The corresponding formula for the theta series in terms of weight enumerators is discussed.

Related Organizations
Keywords

theta series, Computational Theory and Mathematics, Geometry and Topology, Relations with coding theory, lattice, Theoretical Computer Science

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
hybrid