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We develop and apply a dual-survey extraction technique to published submmimages of the Lockman Hole using the SCUBA and MAMBO bolometer arrays. Cutabove 5 sigma, this catalogue of submm galaxies (SMGs) is significantly morerobust than previous samples, typically selected above 3.0-3.5 sigma, with amuch-reduced likelihood of real, faint SMGs (beneath and around the confusionlimit) entering the catalogue via superposition with noise. Our selectiontechnique yields 19 SMGs of which we expect at most two to be due to chancesuperposition of SCUBA and MAMBO noise peaks. The flux limit of the sample(~5mJy at 0.85mm), which is sensitive to luminous, dusty galaxies at extremeredshifts, is optimally matched to a deep 1.4-GHz image (4.6 uJy/beam rms)which probes starbursts in the z<~4 regime. A high fraction of these robustSMGs (~80%) have radio counterparts which, given the probable ~10%contamination by spurious sources, suggests that very distant SMGs (z>~3-4) areunlikely to make up more than ~10% of the bright SMG population. Finally, theaccurate radio positions are used to test the accuracy of positions determinedin the submm, with important implications for upcoming surveys with SCUBA-2.Comment: 10 pages. To appear in the proceedings of: "The Spectral Energy  Distribution of Gas-Rich Galaxies: Confronting Models with Data", Heidelberg,  4-8 Oct. 2004, eds. C.C. Popescu and R.J. Tuffs, AIP Conf. Ser., in pres

A robust sample of submillimetre galaxies: constraints on the prevalence of dusty, high-redshift starbursts