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1

Increasing the grid height and/or width will increase the dictionary size for any given length. A length of 8 is a quite simple DAS password; see example passwords in [11].

2

Note that rectangles are a subclass of our class of memorable passwords.

3

Note that when the defining stroke is drawn from e to s, it is considered a different defining stroke.

4

An alternative is to use the hashed password as a cryptographic key for decrypting a check-word for authentication; this key might also be used to encrypt files.