Approved
NIST SP 800-57P1
FIPS-Approved and/or NIST-recommended. An algorithm or technique that is either 1) specified in a FIPS or NIST Recommendation, or 2) specified elsewhere and adopted by reference in a FIPS or NIST Recommendation.
NIST SP 800-57P2
FIPS-Approved and/or NIST-recommended. An algorithm or technique that is either 1) specified in a FIPS or NIST Recommendation, or 2) adopted in a FIPS or NIST Recommendation and specified either in an appendix to the FIPS or NIST Recommendation, or in a document referenced by the FIPS or NIST Recommendation.
NIST SP 800-67
FIPS-approved or NIST-recommended: an algorithm or technique that is either 1) specified in a FIPS or NIST Recommendation, or 2) adopted in a FIPS or NIST Recommendation.
NIST SP 800-89
FIPS-Approved and/or NIST-recommended. An algorithm or technique that is either 1) specified in a FIPS or NIST Recommendation, or 2) adopted in a FIPS or NIST Recommendation and specified in an appendix to the FIPS or NIST Recommendation.