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Modes of operation for public key encryption

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Why do we not define modes of operation for public-key encryption just like how they are defined for block ciphers?

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Welcome to Cryptography.SE. Why do we need that? We don't encrypt large data with a public-key cryptosystem. There are questions here for RSA to use it as a block cipher, however, a block cipher is a completely different subject. Note that RSA encryption is already probabilistic encryption with correct padding. Different schemes have different needs.
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