Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
Aedŭi (Haed-), ōrum, m., a tribe in Gallia Celtica friendly to the Romans, now Departements de la Cōte d’Or, de la Nievre, de Saōne et Loire, et du Rhōne, Caes. B. G. 1, 10, 11, 23, etc.; Cic. Att. 1, 19; Mel. 3, 2, 4; Plin. 4, 18, 32, § 107 al.
Hence, Aedŭĭ-cus (Haed-), a, um, adj., pertaining to the Ædui: stemma, Aus. Par. 4, 3.