This paper concerns the construction of the so-called augmented product codes and augmented product lattices. These are obtained by augmenting product codes or product lattices from certain classes thus obtaining a higher dimensional code or a lattice from the same class. Certain properties of the augmented product construction are derived, and a few examples are given for code/lattice constructions. In particular, it is shown that the Reed- Muller codes, the Golay code, the Barnes-Wall lattices as well as the Leech lattice all have an augmented product construction.
|Journal||IEEE International Symposium on Information Theory - Proceedings|
|State||Published - 2005|
|Event||2005 IEEE International Symposium on Information Theory, ISIT 05 - Adelaide, Australia|
Duration: 4 Sep 2005 → 9 Sep 2005