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Let's start from the top and work down, using FIPS 202 as reference. Note that the KECCAK paper uses a somewhat different notation (!). $$\operatorname{SHA3-224}(M) = \operatorname{KECCAK}[448] (M | 01, 224)$$ $$\operatorname{SHA3-256}(M) = \operatorname{KECCAK}[512] (M | 01, 256)$$ $$\operatorname{SHA3-384}(M) = \operatorname{KECCAK}[768] (M | 01, 384)$$ $$...



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