A bank wants to store the account number of its customer (an 8 digit number) in encrypted form on magnetic stripe ATM cards. Discuss the security of the following methods for storing the account number against an attacker who can read the magnetic stripe: (1) store a cryptographic hash of the account number; (2) store the cipher text of the account number encrypted with the bank’s public key using a public key cryptosystem; (3) store the cipher text of the account number encrypted with the bank’s secret key using a symmetric cryptosystem.

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