The known glucaro-1,5-lactam 8, its diastereoisomers 9 -11, and the tetrahydrotetrazolopyridine-5-carboxylates 12 -14 were synthesised as potential inhibitors of b-D-glucuronidases and a-L-iduronidases. The known 2,3-di-O-benzyl-4,6-O-benzylidene-D-galactose (16) was transformed into the D-galactaroand L-altraro-1,5-lactams 9 and 11 via the galactono-1,5-lactam 21 in twelve steps and in an overall yield of 13 and 2%, respectively. A divergent strategy, starting from the known tartaric anhydride 41, led to the D-glucaro-1,5-lactam 8, D-galactaro-1,5-lactam 9, L-idaro-1,5-lactam 10, and L-altraro-1,5-lactam 11 in ten steps and in an overall yield of 4 -20%. The anhydride 41 was transformed into the L-thre-A C H T U N G T R E N N U N G uronate 46. Olefination of 46 to the (E)-or (Z)-alkene 47 or 48 followed by reagent-or substrate-controlled dihydroxylation, lactonisation, azidation, reduction, and deprotection led to the lactams 8 -11. The tetrazoles 12 -14 were prepared in an overall yield of 61 -81% from the lactams 54, 28, and 67, respectively, by treatment with Tf 2 A C H T U N G T R E N N U N G O and NaN 3 , followed by saponification, esterification, and hydrogen-A C H T U N G T R E N N U N G olysis. The lactams 8 -11 and 40 and the tetrazoles 12 -14 are medium-to-strong inhibitors of b-D-glucuronidase from bovine liver. Only the L-ido-configured lactam 10 (K i = 94 mM) and the tetrazole 14Introduction. -b-D-Glucuronidases (EC 3.2.1.31, family 2) 1 ) and a-L-iduronidases (EC 3.2.1.76, family 39) remove glycuronic acid residues from the non-reducing end of glycosaminoglycans such as chondroitin sulfate and hyaluronic acid.