Boeheim led his team to the 2003 NCAA championship, eight Big East regular season titles and three conference tournament crowns. He had Syracuse in three Final Fours.
Calhoun guided Connecticut to two NCAA titles (1999, 2004) and 17 straight postseason tournaments.
The two coaches are joined on the Hall of Fame ballot by former NBA stars Joe Dumars and Dominique Wilkins.
Former coach and current TV analyst Hubie Brown is up for consideration as a contributor to the game.
Also on the list are previous finalists Bernard King, Maurice Cheeks, Adrian Dantley, Dennis Johnson, and Chet Walker. In addition, Italian coach Sandro Gamba, Brazilian player Hortencia Marcari; player John Issacs; and contributor John Kerr from the Veterans Screening Committee are on the ballot.