Can You Drop Below MINIMUM Salary Requirement Post-Draft?

My understanding is that there is a minimum salary requirement when putting together draft lists. (For a $60 million cap, it seems it is $45 million.) After the draft runs, can you drop below this?
The reason for asking is that discussions are ongoing about setting up a 1986 league in which teams would try to LOSE the most games:
http://forums.sportingnews.com/viewtopic.php?p=3201127
I know I have seen discussions about Scrub Leagues with, for example, only players valued under some threshold. How do those work if there is a minimum salary requirement that must be maintained?
The reason for asking is that discussions are ongoing about setting up a 1986 league in which teams would try to LOSE the most games:
http://forums.sportingnews.com/viewtopic.php?p=3201127
I know I have seen discussions about Scrub Leagues with, for example, only players valued under some threshold. How do those work if there is a minimum salary requirement that must be maintained?