Which DES modes can best be used for authentication?

Which DES modes can best be used for authentication?

A.
Cipher Block Chaining and Electronic Code Book.

B.
Cipher Block Chaining and Output Feedback.

C.
Cipher Block Chaining and Cipher Feedback.

D.
Output Feedback and Electronic Code Book.

Explanation:
Cipher Block Chaining (CBC) uses feedback to feed the result of encryption back
into the encryption of the next block. The plain-text is XOR’ed with the previous cipher-text block

before it is encrypted. The encryption of each block depends on all the previous blocks. This
requires that the decryption side processes all encrypted blocks sequentially. This mode requires
a random initialization vector which is XOR’ed with the first data block before it is encrypted. The
initialization vector does not have to be kept secret. The initialization vector should be a random
number (or a serial number), to ensure that each message is encrypted uniquely. In the Cipher
Feedback Mode (CFB) is data encrypted in units smaller than the block size. This mode can be
used to encrypt any number of bits e.g. single bits or single characters (bytes) before sending
across an insecure data link.
Both of those method can be best used to provide user authentication capabilities.