On Asymptotic Elias Bound for Euclidean Space Codes over Distance-Uniform Signal Sets
Balaji Sundar Rajan, G. Viswanath · 2003
this paper we point out that these bounds are valid for codes over the wider class of distance-uniform signal sets (a signal set is referred to be distance-uniform if the Euclidean distance distribution is sam from any point of the signal set). We show that optim um distributions can be found for (i) sim plexsignal sets, (ii) Ham - mx6 spaces and (iii) biorthogonal signal set. The classical Elias bound for arbitrary alphabet size is shown to be obtainable by specializing the extended bound to sim plex signal sets with optim um distribution. We also verify Piret's conjecture for codes over 5-PSK signal set