FIPS is a set of standards followed by the US government regarding information security. There are policies, practices, etc. To qualify as compatible, you must make sure that you use only certain algorithms, the hardware and software you use should be considered compatible, etc.
Is it as simple as using FIPS 140 compatible cryptography providers or is there more to it?
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http://en.wikipedia.org/wiki/FIPS_140
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http://csrc.nist.gov/groups/STM/index.html
http://csrc.nist.gov/groups/STM/cmvp/index.html