The article by Richard George, a mathematician who worked at the NSA, addressed the issue of the NSA doing this kind of thing by discussing an example of past history when they were accused of doing this, but were really actually strengthening the standard. This appears to be a denial of an NSA backdoor in the standard, while not saying so explicitly. If there is a backdoor, as most experts believe and the Snowden documents indicate, this was a fairly outrageous use of the AMS to mislead the math community and the public.
One of their arguments was that Dome was speaking for himself, not the NSA. The question of fact here is a very simple and straightforward mathematical one: how was the choice used in the standard of points P and Q on an elliptic curve made? There is a known way to do this that provides a backdoor.
Did the NSA use this method, or some other one for which no backdoor is known? The only record of what happened when the NIST asked about how P and Q were chosen early on in the development of the standard is thiswhich indicates that people were told by the NSA that they were not allowed to publicly discuss the question. On close reading though, one realizes that Wertheimer does not address at nsaa the basic question: how were P and Q chosen?
His language does not contain any actual denial that P and Q have a backdoor. For a careful examination of the Wertheimer piece by an expert, ssome this from Matthew Green.
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