Generation of composite private keys

A device, comprising:

• a processor;
• and
• a memory coupled to the processor, the memory storing instructions that, when executed by the processor, cause the processor to perform the steps of:
• receiving an initial instruction from a remote computing device using a client computing device having an addressable cryptographic table;
• retrieving first and second bitstreams having different lengths from the addressable cryptographic table by:
• deriving addresses in the addressable cryptographic table from the initial instruction;
• accessing first and second bit values stored at addresses belonging to the derived addresses in the addressable cryptographic table;
• outputting the first bit values as the first bitstream and the second bit values as the second bitstream;
• concatenating the first bitstream with data from the first bitstream to form a data stream having a desired length;
• concatenating the second bitstream with data from the second bitstream to form a selector stream having the desired length;
• and
• forming a first composite encryption key having a length longer than a length of the first bitstream and the second bitstream by selecting values of the data stream identified by corresponding bit values of the selector stream.

A device, comprising:

• a processor;
• and
• a memory coupled to the processor, the memory storing instructions that, when executed by the processor, cause the processor to perform the steps of:
• receiving an initial instruction from a remote computing device;
• retrieving first and second bitstreams having different lengths from an addressable cryptographic table by determining first and second bit values stored at addresses belonging to addresses derived from the initial instruction in the addressable cryptographic table;
• concatenating the first bitstream with data from the first bitstream to form a data stream having a desired length;
• concatenating the second bitstream with data from the second bitstream to form a selector stream having the desired length;
• and
• forming a first composite encryption key having a length longer than a length of the first bitstream and the second bitstream by selecting values of the data stream identified by corresponding bit values of the selector stream.