TY - JOUR
T1 - Augmented product codes and lattices
AU - Salomon, Amir J.
AU - Amrani, Ofer
N1 - Publisher Copyright:
© 2005 Institute of Electrical and Electronics Engineers Inc.. All rights reserved.
PY - 2005
Y1 - 2005
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85114362108&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2005.1523422
DO - 10.1109/ISIT.2005.1523422
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AN - SCOPUS:85114362108
SN - 2157-8095
VL - 2005-January
JO - IEEE International Symposium on Information Theory - Proceedings
JF - IEEE International Symposium on Information Theory - Proceedings
M1 - 1523422
T2 - 2005 IEEE International Symposium on Information Theory, ISIT 05
Y2 - 4 September 2005 through 9 September 2005
ER -