§ La. R.S. 18:511(untitled)

Election of candidates in a primary election
A. Majority vote. A candidate who receives a majority of the votes cast for an office in a primary
election is elected. If there are two or more offices of the same character to be filled, the number of votes
necessary to constitute a majority shall be greater than the result obtained by dividing the total votes cast for
all of the candidates by the number of offices to be filled and dividing the result so obtained by two. If more
candidates receive a majority than there are offices to be filled, those of such candidates receiving the highest
total of votes shall be elected, to the number required to fill all of the offices. Any votes received by a
withdrawn candidate or a deceased candidate shall be void and shall not be counted for any purpose
whatsoever.
B. Election of unopposed candidates for public office. If, after the close of the qualifying period
for candidates in a primary election other than a party primary election, the number of candidates for a public
office does not exceed the number of persons to be elected to the office, the candidates for that office, or
those remaining after the withdrawal of one or more candidates, are declared elected by the people, and their
names shall not appear on the ballot in either the primary or the general election.
C. Election of unopposed candidates for membership on party committees. If, after the close of the
qualifying period for candidates in a primary election, the number of candidates for membership on a
political party committee does not exceed the number of members to be elected to the committee, the
candidates for membership on that political party committee, or those remaining after the death or withdrawal
of one or more candidates, are declared elected by the people, and their names shall not appear on the ballot
in either the primary or the general election.
D. Effect of a tie vote. If, as a result of a tie vote in a primary election, the number of candidates
who would be elected to an office exceeds the number of persons to be elected to the office, the candidates
who received the same majority of the votes cast in the primary election are not elected, but they are qualified
as candidates in the general election.