Novel hydrogenated nitrile rubbers are provided, which include phosphine oxides and/or diphosphine oxides and a specific content of halogens, and which enable access to vulcanizable mixtures and corresponding vulcanizates that possess improved moduli and compression set values. These novel hydrogen nitrile rubbers are obtained by a production process, in which the hydrogenated nitrile rubbers are reacted with at least one specific sulphur compound.
