Special subsets and optimum codes based on lattices and cosets
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Rosal, E. M. [UNESP]
Borelli, W. C. [UNESP]
Farrell, P. G. [UNESP]
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This paper introduces the concept of special subsets when applied to generator matrices based on lattices and cosets as presented by Calder-bank and Sloane. By using the special subsets we propose a non exhaustive code search for optimum codes. Although non exhaustive, the search always results in optimum codes for given (k1, V, Λ/Λ′). Tables with binary and ternary optimum codes to partitions of lattices with 8, 9 e 16 cosets, were obtained.
Encoding (symbols), Matrix algebra, Set theory, Ternary codes, Binary codes
IEEE International Symposium on Information Theory - Proceedings, p. 521-.