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Any convictions for bribery offenses could have repercussions for News Corp. in the United States, where the Foreign Corrupt Practices Act can be used to impose hundreds of millions of dollars in fines even in cases where activity has occurred overseas.

Police also are continuing inquiries into the extent of phone hacking and the alleged illegal access of emails by British reporters.

Mr. Hunt told the BBC that any new regulator for Britain’s press must also be capable of overseeing new forms of written journalism and reporting on the Internet.

Mr. Hunt said he hoped Britain could “put in place a new, modern regulatory structure that helps the newspaper industry evolve and deal with the challenges of the Internet and deal with the fact people want to read their news on the go.”