# Golden lattices

@inproceedings{Nebe2012GoldenL, title={Golden lattices}, author={Gabriele Nebe}, year={2012} }

Let θ := −1+ √ 5 2 be the golden ratio. A golden lattice is an even unimodular Z[θ]-lattice of which the Hilbert theta series is an extremal Hilbert modular form. We construct golden lattices from extremal even unimodular lattices and obtain families of dense modular lattices.

## One Citation

Construction and secrecy gain of a family of 5-modular lattices

- Computer Science, Mathematics2014 IEEE Information Theory Workshop (ITW 2014)
- 2014

This work proposes some constructions of 5-modular lattices via the Construction A of lattices from linear codes, and studies the secrecy gain of the resulting lattices.

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