DOI: 10.1109/itcom.1999.781440
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## Abstract: We extend Piret's u p p e r bound [l] to codes over uniform signal sets ( a signal set is referred t o be uniform if the Euclidean distance distribution is same from a n y point i n the signal s e t ) which include as a special case codes over symmetric P S K signal sets and all signal sets matched to groups [2]. The probability distribution that gives optimum bound is obtained for codes over simplex, biorthogonal signal sets and hamming spaces.

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