December 15, 1998 || Socorro || LINEAR || EUN || align=right | 6.4 km || |-id=383 bgcolor=#fefefe | 31383 || || — || December 15, 1998 || Socorro || LINEAR || FLO || align=right | 4.1 km || |-id=384 bgcolor=#fefefe | 31384 || || — || December 11, 1998 || Mérida || O. A. Naranjo || — || align=right | 2.2 km || |-id=385 bgcolor=#E9E9E9 | 31385 || || — || December 11, 1998 || Mérida || O. A. Naranjo || EUN || align=right | 4.9 km || |-id=386 bgcolor=#fefefe | 31386 || || — || December 16, 1998 || Gekko || T. Kagawa || — || align=right | 3.0 km || |-id=387 bgcolor=#fefefe | 31387 Lehoucq || || || December 16, 1998 || Caussols || ODAS || — || align=right | 3.5 km || |-id=388 bgcolor=#fefefe | 31388 || || — || December 17, 1998 || Caussols || ODAS || MAS || align=right | 1.9 km || |-id=389 bgcolor=#fefefe | 31389 Alexkaplan || || || December 17, 1998 || Caussols || ODAS || NYS || align=right | 3.0 km || |-id=390 bgcolor=#fefefe | 31390 || || — || December 19, 1998 || Oizumi || T. Kobayashi || — || align=right | 2.2 km || |-id=391 bgcolor=#fefefe | 31391 || || — || December 17, 1998 || Caussols || ODAS || — || align=right | 1.8 km || |-id=392 bgcolor=#E9E9E9 | 31392 || || — || December 20, 1998 || Catalina || CSS || — || align=right | 5.4 km || |-id=393 bgcolor=#fefefe | 31393 || || — || December 24, 1998 || Oizumi || T. Kobayashi || — || align=right | 2.2 km || |-id=394 bgcolor=#fefefe | 31394 || || — || December 25, 1998 || Višnjan Observatory || K. Korlević, M. Jurić || — || align=right | 1.9 km || |-id=395 bgcolor=#fefefe | 31395 || || — || December 18, 1998 || Caussols || ODAS || FLO || align=right | 2.0 km || |-id=396 bgcolor=#fefefe | 31396 || || — || December 29, 1998 || Oizumi || T. Kobayashi || V || align=right | 3.0 km || |-id=397 bgcolor=#fefefe | 31397 || || — || December 22, 1998 || Kitt Peak || Spacewatch || — || align=right | 3.1 km || |-id=398 bgcolor=#fefefe | 31398 || || — || December 27, 1998 || Anderson Mesa || LONEOS || — || align=right | 3.5 km || |-id=399 bgcolor=#E9E9E9 |