A former British politician who was wrongly implicated in child sexual abuse on a program produced by the BBC said Thursday, in his first public interview since the segment aired, that the allegation was ‘‘complete rubbish’’ and that the broadcaster should have called him to check it out.

The politician, Lord Alistair McAlpine, a treasurer of the Conservative Party in the Thatcher era, was not identified by name in the report on the ‘‘Newsnight’’ program on Nov. 2, but the broadcast provoked a slew of accusations.