Mayor Bill de Blasio on Wednesday called for a total overhaul of the body.
“Yet again, the fundamental structural flaws of the Board of Elections are on display,” he said in a statement, also calling for “an immediate, complete recanvass” of the vote count and “a clear explanation of what went wrong.”
“Going forward,” he said, “there must be a complete structural rebuild of the board.”
And Mr. Adams’s campaign announced that it had filed a lawsuit in State Supreme Court in Brooklyn.
“Today we petitioned the court to preserve our right to a fair election process and to have a judge oversee and review ballots, if necessary,” the campaign said in a statement. “We invite the other campaigns to join us and petition the court as we all seek a clear and trusted conclusion to this election.”
Ms. Garcia’s campaign indicated in a statement that it was filing in court as well, to preserve “our rights under election law to protect the canvass and provide for court supervision of the vote count if needed.”
The Wiley campaign declined to comment on any potential legal proceedings.
Separately, Mr. Adams and some of his allies have long expressed concerns about the ranked-choice voting process, which voters approved in a 2019 ballot measure. Some of Mr. Adams’s surrogates have cast ranked choice as an attempt to disenfranchise voters of color, a characterization that supporters of the process strongly reject.
But the bulk of the critical focus on Wednesday fell on the Board of Elections, as new details emerged about the circumstances that led to what the board insists was a human error.
For example, the supplier of the software that New York City used to tabulate votes repeatedly offered its assistance to the board, according to Christopher W. Hughes, the policy director at the Ranked Choice Voting Resource Center, which provided the open-source software.
He did not hear back.
Dana Rubinstein, Ed Shanahan and Jeffery C. Mays contributed reporting.