The accidental disclosures illustrate the risks of even well-intentioned, public-interest reporting on highly secret US programs.
In some cases, prominent newspapers including The New York Times quickly pulled down government records they published online and recensored them to hide information they accidentally exposed.
On one occasion, the Guardian newspaper published an NSA document that appeared to identify an American intelligence target living abroad. Before the newspaper could fix its mistake, a curious software engineer, Ron Garret of Emerald Hills, California, tried to contact the man at his office.
The inadvertent disclosures, which include technical details and other information, are another complication in the ethically and technically challenging coverage of the NSA's surveillance programs.
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Journalists who have seen the unfiltered secrets leaked by former intelligence worker Edward Snowden agree that some things are off-limits for publication. But media organisations sometimes have struggled to keep them that way.
Glenn Greenwald, the reporter and columnist who has played a key role in publishing so many of Snowden's revelations, has said he wouldn't publish the names of US intelligence workers unless they were top-ranking public officials.
"We reported on these documents with the largest and most well-respected media organisations in the world, but like all human institutions, none is perfect," Greenwald said.
It was not immediately clear what damage, if any, has come from the disclosures of the names of the six NSA employees and other secrets. The NSA would not discuss its employees. None appeared to be working undercover.