Conference Matrices and Unimodular Lattices

@article{Chapman2001ConferenceMA,
  title={Conference Matrices and Unimodular Lattices},
  author={Robin J. Chapman},
  journal={Eur. J. Comb.},
  year={2001},
  volume={22},
  pages={1033-1045}
}
  • R. Chapman
  • Published 19 July 2000
  • Computer Science, Mathematics
  • Eur. J. Comb.
Conference matrices are used to define complex structures on real vector spaces. Certain lattices in these spaces become modules for rings of quadratic integers. Multiplication of these lattices by nonprincipal ideals yields simple constructions of further lattices including the Leech lattice. 
Steinitz classes of unimodular lattices
  • R. Chapman
  • Computer Science, Mathematics
    Eur. J. Comb.
  • 2004
Higher Power Residue Codes and the Leech Lattice
We shall consider higher power residue codes over the ring Z4. We will briefly introduce these codes over Z4 and then we will find a new construction for the Leech lattice. A similar construction is
On the classification of self-dual [20, 10, 9] codes over GF(7)

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