The Libertarian Party has never been a ballot-qualified party in the District of Columbia. The law defines “party” as a group that polled at least 7,500 votes for a partisan office. Elections for “Shadow U.S. Senator” and “Shadow U.S. Representative” don’t count. This year, Libertarian Bruce Majors will attempt to gather 3,000 signatures to appear on the November ballot as the Libertarian nominee for Delegate to the U.S. House, which does count.
So far, there is no Republican running for that position, although there is a Green, Natale Stracuzzi. No Republican ran for that office in this year’s Republican primary.
Only once before has the Libertarian Party placed someone on the November ballot for Delegate. That was in 2000, when Rob Kampia received 4,594 votes, in a four-party race that included both major parties and a Socialist Workers Party nominee. See this story about the Majors 2012 candidacy.