The SHA-3 Standard (FIPS PUB 202) is now included in Annex A: Approved Security Functions for FIPS PUB 140-2, Security Requirements for Cryptographic Modules.
SHA-3 Hash Algorithms (SHA3-224, SHA3-256, SHA3-384, SHA3-512) and SHA-3 Extendable-Output Functions (XOF) (SHAKE128, SHAKE256) are FIPS Approved and may be implemented in a FIPS 140-2 cryptographic module. The SHA-3 functions are based on the Keccak algorithm selected by NIST as the winner of the SHA-3 competition.
wolfSSL is performing early testing of SHA-3 through the Cryptographic Algorithm Validation Program (CAVP) at NIST.
Please contact fips@wolfSSL.com if your project plans include SHA-3.