Systems and methods for lossless compression of data and high speed manipulation thereof

A system comprising:

• a tangible, non-transitory memory communicating with a processor for compression,
• the tangible, non-transitory memory having instructions stored thereon that, in response to execution by the processor, cause the processor to perform operations comprising:
• associating, by the processor, one or more of a plurality of unique entities with one or more of a plurality of unique binary numbers, wherein a unique binary number corresponds to a base 10 value of the form 2(n−1), and wherein the associating further comprises associating, by the computer-based system, a most frequently occurring entity with a binary number corresponding to a base 10 value of 20, and associating, by the computer-based system and based upon a frequency of occurrence, less frequently occurring entities with binary numbers corresponding to increasing powers of the number two;
• associating, by the processor, a collection with the plurality of unique entities;
• and
• determining, by the processor, that the collection includes one of the plurality of unique entities based upon the unique binary number associated with the unique entity.

An article of manufacture including a non-transitory, tangible computer readable medium having instructions stored thereon that, in response to execution by a computer-based system for compression, cause the computer-based system to perform operations comprising:

• associating, by the computer-based system, one or more of a plurality of unique entities with one or more of a plurality of unique binary numbers, wherein a unique binary number corresponds to a base 10 value of the form 2(n−1), and wherein the associating further comprises associating, by the computer-based system, a most frequently occurring entity with a binary number corresponding to a base 10 value of 20, and associating, by the computer-based system and based upon a frequency of occurrence, less frequently occurring entities with binary numbers corresponding to increasing powers of the number two;
• associating, by the computer-based system, a collection with the plurality of unique entities;
• and
• determining, by the computer-based system, that the collection includes one of the plurality of unique entities based upon the unique binary number associated with the unique entity.