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What are the advantages and disadvantages of asymmetric cryptosystem compared with traditional symmetric cryptosystem?

Compared with the traditional symmetric cryptosystem, the asymmetric cryptosystem has the advantages of fast encryption speed and less calculation required for encryption and decryption, but the disadvantage is that the workload of key management is very large.

The encryption and decryption of public key cryptosystem (asymmetric public key cryptosystem) need a lot of calculation, but the workload of key management is very small.