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We present a new family of one-coincidence sequence sets suitable forfrequency hopping code division multiple access (FH-CDMA) systems withdispersed (low density) sequence elements. These sets are derived fromone-coincidence prime sequence sets, such that for each one-coincidence primesequence set there is a new one-coincidence set comprised of sequences withdispersed sequence elements, required in some circumstances, for FH-CDMAsystems. Getting rid of crowdedness of sequence elements is achieved bydoubling the size of the sequence element alphabet. In addition, this doublingprocess eases control over the distance between adjacent sequence elements.Properties of the new sets are discussed.

A new family of one-coincidence sets of sequences with dispersed elements for frequency hopping CDMA systems