A single stranded oligonucleotide containing two or more acyl-amino-LNA or hydrocarbyl-amino-LNA nucleotide monomers, in which other nucleotide monomers can be DNA, RNA or chemically modified nucleotide monomers; in which the monomers of the oligonucleotide are linked by phosphodiester linkages and/or phosophorothioate linkages and/or phosphotriester linkages, in which the acyl and hydrocarbyl groups of the acyl-amino-LNA and hydrocarbyl-amino-LNA monomers are optionally substituted and thus optionally contain one or more hydroxyl group(s), amino group(s), thio group(s), oxo group(s), alkylthio group(s), ether group(s), and/or thiol (mercapto) group(s), and in which the acyl and hydrocarbyl groups of the acyl-amino-LNA and hydrocarbyl-amino-LNA monomers are linear or branched chains, cyclic or a combination of both, provided that the total number of carbon atoms in each acyl and hydrocarbyl group is less than 30.