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No, usually you are required to use hybrid cryptography. ECB, CBC etc. are defined for block ciphers. Although you could possibly apply them to asymmetric cryptosystems, it would make little sense: performing sequential asymmetric cryptography is not efficient, block ciphers are much more efficient in general there will be a lot of overhead per block, ...


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The real question isn't "Why doesn't Suite B use P-521?" It is, "Why doesn't Suite B use AES-192?" NSA were only interested in 192-bit security for Suite B, but they chose to use AES-256 because AES-192 wasn't widely supported. "In fact we had wanted to use AES -128 and AES-192, but a quick survey of AES implementations (hardware centric, I believe) ...



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