The Oxford Thesaurus An A-Z Dictionary of Synonyms - above-boardadv.

1) openly, candidly, freely, publicly, frankly, straightforwardly, plainly, for all to see, out in the open, in the open: Donald has always dealt completely above-board with everyone. --adj. 2) open, candid, frank, straight, direct, honourable, straightforward, forthright, guileless, undeceiving, artless, ingenuous, undeceptive, undeceitful, straight from the shoulder; honest, genuine: The company's dealings have always been above-board.