Collins Russian Dictionary 2nd Edition © HarperCollins Publishers 2000, 1997:
antisocial [ˈæntɪˈsəuʃəl] adj (behaviour) антиобще́ственный; (person) необщи́тельный*необщи́телен
* is used to mark translations which have irregular inflections. The Russian-English side of the dictionary gives inflectional information.