Morpholino oligomers containing both uncharged and cationic intersubunit linkages are provided. The oligomers are oligonucleotide analogs containing predetermined sequences of base-pairing moieties. The presence of the cationic intersubunit linkages in the oligomers, typically at a level of about 10-50% of total linkages, provides enhanced antisense activity, in various antisense applications, relative to the corresponding uncharged oligomers. Also provided are such oligomers conjugated to peptide transporter moieties, where the transporters are preferably composed of arginine subunits, or arginine dimers, alternating with neutral amino acid subunits.