Catalyzes the phosphorylation of 5-dehydro-2-deoxy-D-gluconate (2-deoxy-5-keto-D-gluconate or DKG) to 6-phospho-5-dehydro-2-deoxy-D-gluconate (DKGP). 5-dehydro-2-deoxy-D-gluconate + ATP = 6-phospho-5-dehydro-2-deoxy-D-gluconate + ADP + H(+) Polyol metabolism; myo-inositol degradation into acetyl-CoA; acetyl-CoA from myo-inositol: step 5/7. Belongs to the carbohydrate kinase PfkB family.