A federal judge ruled Tuesday that a Texas group’s campaign to challenge the eligibility of hundreds of thousands of Georgia voters in the nationally watched U.S. Senate runoffs did not violate the Voting Rights Act.

The robocalls came from a nonexistent group and falsely warned recipients that voting by mail would result in being "finessed into giving your private information to the man."

First, 50,000 Fulton County voters received letters saying they may be declared inactive, because they didn’t update the address on their voter...