Generalized algorithms for generating balanced modulation codes in protein-based volumetric memories

With the ever increasing volume of the digital data being generated from our day to day life there is a huge increase in the demand for much faster and denser storage technologies. Conventional two dimensional (surface) storage/memory technologies may soon be replaced with much faster and denser three dimensional volumetric (holographic) storage technologies. Photo sensitive protein Bacteriorhodopsin(BR) has been proven to have great chemical, thermal and holographic properties and is a good choice as a holographic material in volumetric memory design. Balanced modulated codes are used in volumetric memory systems to reduce the bit error rate (BER) and improve the fidelity, currently coding schemes like 6:8 balanced modulated coding are employed which limit the size of the page to 8-bits and achieve a code rate (utility) of 75%. As the volumetric storage technology matures we need efficient algorithms to produce balanced modulation codes with high code rate on bigger page sizes. In this paper we give new algorithms to generate balanced modulation codes which can achieve superior code rates compared to the existing methods to generate balanced modulated codes.