The alkylation of 1-(benzyloxycarbonyl)-2-oxoimidazolidine-5(R)-carboxylic acid tert-butyl ester (I) with 4-(4-fluorophenoxy)benzyl bromide (II) by means of K2CO3 in acetone gives 1-(benzyloxycarbonyl)-3-[4-(4-fluorophenoxy)benzyl]-2-oxoimidazolidine-5(R)-carboxylic acid tert-butyl ester (III), which is deprotected by hydrogenation with H2 over Pd/C in ethanol to afford 1-[4-(4-fluorophenoxy)benzyl]-2-oxoimidazolidine-4(R)-carboxylic acid tert-butyl ester (IV). The cleavage of the tert-butyl protecting group of (IV) by means of TFA in dichloromethane affords the free carboxylic acid (V), which is condensed with O-[2-(trimethylsilyl)ethyl]hydroxylamine (VI) by means of HOBt, DIEA and DEC to provide the corresponding amide (VII). Finally, the desilylation of (VII) by means of BF3 ethearate in dichloromethane gives rise to the target hydroxamic acid.