Encrypting data units with a memristor array

A system comprising:

• a set of memristors upon which a method is performed, the method comprising:
• encrypting data by:
• multiplying a first element of a first data unit by a first instance of a second data unit, resulting in a first resultant data unit, the first resultant data unit being represented by a first set of memristors, the first element of the first data unit representing a multiple of a first power of a base value, the first data unit or the second data unit being a data unit of the data being encrypted;
• multiplying a second element of the first data unit by a second instance of the second data unit, resulting in a second resultant data unit, the second data unit being represented by a second set of memristors, the second element of the first data unit representing a multiple a second power of the base value, that is different than the first power of the base value;
• and
• adding the first resultant data unit to the second resultant data unit by adding respective currents associated with the first and second sets of memristors.

A method of encrypting data, comprising:

• receiving a first data block, the first data block including a first plurality of data units, each data unit having a different location within the first data block;
• substituting data units of a substitution box for the data units of the first data block to form a second block of data, representing the second block by memristors within a first array of memristors;
• wherein a location of each memristor is arranged to represent rows and columns of an of array data units within the second block of data;
• shifting locations of data units along rows of the second data block by shifting positions of values stored by memristors to form a third data block;
• multiplying each column of data units of the third data block by a block of data units having fixed values to form a fourth data block;
• the multiplying of each column of the data units of the third data block by the block of data units having fixed values being performed by:
• multiplying a first element of a first data unit by a first instance of a second a second data unit, resulting in a first resultant data unit, the first resultant data unit being represented by a first set of memristors, the first element of the first data unit representing a multiple of a first power of a base value,
• one of the first data unit and the second data unit being a data unit of the third block of data and another of the first data unit and the second data unit being a data unit of a block of data units having fixed values;
• multiplying a second element of the first data unit by a second instance of the second data unit, resulting in a second resultant data unit, the second data unit being represented by a second set of memristors, the second element of the first data unit representing a multiple of a second power of the base value, the first power and second power being different;
• and
• adding the first resultant data unit to the second resultant data unit by adding respective currents associated with the first and second sets of memristors;
• and
• adding values of an encryption key to the data units of the third data block by adding currents of memristors representing values of the encryption key with currents of memristors representing the data units of the fourth data block.