Abstract: A method for allowing user access to a resource includes a large number of arrays of elements which are generated and stored for each user for use in a series of log-in sessions. A user input token is calculated by identifying a subset of the array by a pattern of the elements in the array, combined in an operation on the elements selected using one or more mathematical, relational and/or logical operations. The arrays are stored in a table with the tokens calculated from those arrays and withdrawn in a random pattern for use in the sessions for that user.

Abstract: A method for allowing user access to a resource includes a large number of arrays of elements which are generated and stored for each user for use in a series of log-in sessions. A user input token is calculated by identifying a subset of the array by a pattern of the elements in the array, combined in an operation on the elements selected using one or more mathematical, relational and/or logical operations. The arrays are stored in a table with the tokens calculated from those arrays and withdrawn in a random pattern for use in the sessions for that user.

Abstract: A method for securing interface access via visual array patterns in combination with hidden operations improves the security of computer systems and dedicated terminals. A hint display is generated in at least a quasi-random fashion that may be an array of numerical digit values. A user input token is received that represents selection of a pattern of elements chosen from the hint display and combined in an algorithm using one or more mathematical, relational and/or logical operations. A pre-defined pattern and algorithm are used to generate a token from the hint display that is compared with the user input to verify that the user knows the pattern and algorithm. Further ease of use can be provided by dividing a hint display array into sub-arrays while providing a clue such as color to indicate each sub-array to the user.