The present invention relates to novel carboxamide compounds of the formula I and their use for the manufacture of a medicament. The carboxamide compounds are prodrugs of inhibitors of calpain (calcium dependant cysteine proteases). The invention therefore also relates to the use of these carboxamide compounds for treating a disorder associated with an elevated calpain activity. R1 is C1-C10-alkyl, C2-C10-alkenyl, C2-C10-alkynyl, C3-C7-cycloalkyl, C3-C7-cycloalkyl-C1-C4-alkyl, aryl, hetaryl, aryl-C1-C6-alkyl, aryl-C2-C6-alkenyl, hetaryl-C1-C4-alkyl or hetaryl-C2-C6-alkenyl, R2 is C3-C7-cycloalkyl, C3-C7-cycloalkyl-C1-C4-alkyl, aryl, O-aryl, O&mdash；CH2-aryl, hetaryl, aryl-C1-C6-alkyl, aryl-C2-C6-alkenyl, hetaryl-C1-C4-alkyl or hetaryl-C2-C6-alkenyl, R3a and R3b together form a moiety S-Alk-S, O-Alk-S or O-Alk-O, wherein Alk is linear C2-C5-alkandiyl, which may be unsubstituted or substituted with 1, 2, 3 or 4 radicals selected from C1-C4-alkyl or halogen； X is a radical of the formulae C(&boxH；O)&mdash；O&mdash；Rx1, C(&boxH；O)&mdash；NRx2Rx3, C(&boxH；O)&mdash；N(Rx4)&mdash；(C1-C6-alkylene)-NRx2Rx3, C(&boxH；O)&mdash；N(Rx4)NRx2Rx3, n is 0, 1 or 2, one of the variables Y1, Y2, Y3 or Y4 is a nitrogen atom, and the remaining variables Y1, Y2, Y3 or Y4 are CH； Ry is e.g. OH, SH, halogen, NO2, NH2, CN, CF3, CHF2, CH2F, O&mdash；CF3, O&mdash；CHF2, O&mdash；CH2F, COOH, OCH2COOH, C1-C6-alkyl, C1-C6-alkoxy, C1-C6-alkoxy-C1-C4-alkyl, C1-C6-alkylthio etc. W is a radical of the formulae W1 or W2 which is linked via nitrogen: in which * means the linkage to the 6-membered heteroaromatic ring, and # means the linkage to R2, m is 0, 1 or 2, and Rw is e.g. OH, SH, halogen, NO2, NH2, CN, CF3, CHF2, CH2F, O&mdash；CF3, O&mdash；CHF2, O&mdash；CH2F, COOH, OCH2COOH.
