Lattices with theta functions for G(\(\sqrt{2})\) and linear codes (Q1086608)

The author uses codes over the fields with 2 and 9 elements to construct unimodular complex lattices over \({\mathbb{Z}}[e^{\pi i/4}]\) with large minimum norm. The methods are extensions of work by \textit{N. J. A. Sloane} [ibid. 52, 168-181 (1978; Zbl 0376.94009)] who treated lattices over \({\mathbb{Z}}[e^{2\pi i/3}]\). Several lattices constructed are extremal with respect to a bound on the minimum norm obtained through modular forms.