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In public-key cryptography - one of the basis of cryptocurrency, digital keys are generated from a large random number through a cryptograhic key generation program to produce a private key and public key. In such a system, anyone can encrypt a message using the receiver's public key, but that encrypted message can only be decrypted with the receiver's private key.
Public keys can be disseminated freely as the receving address for your cryptocurrency.
Initial Coin Offering (ICO) is the equivalent of Initial Public Offering (IPO), where a company/cryptocurrency venture raises funds through crowd sales.