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Zbl 0876.94053
Bachoc, Christine
Applications of coding theory to the construction of modular lattices. (English)
[J] J. Comb. Theory, Ser. A 78, No.1, 92-119 (1997). ISSN 0097-3165

The author studies codes obtained by starting with a maximal order $D$ in $K$ which is either an imaginary quadratic field, or a quaternion field with center $Q$ ramified at infinity and taking a left submodule in $(d/pD)^n$. She obtains general bounds for these codes and constructs some extremal self-dual codes.
[K.H.Kim (Montgomery)]

MSC 2000:: *94B99 error-correcting codes
06C05 Modular lattices

Keywords: quaternion algebra; extremal lattice; MacWilliams identity; self-dual codes

Cited in: Zbl 0984.94034

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