The note found Thursday indicated the threat was for Friday, police said.
"There are no indications that the message is credible, especially in light of several recent and similar bomb hoaxes in the area," Fairfield police said in a statement.
The Fairfield Police Department is investigating this message and taking steps to ensure that the school is safe.
Fairfield Warde High School and all other schools in town will be open Friday, May 9, police said.
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