A method of encoding input data includes identifying an input packet of the input data, the input packet including a plurality of input words, each of the input words including pre bits, groupID bits, and post bits, organizing the plurality of input words into a plurality of groups based on groupID bits of the plurality of input words, identifying a key group of the plurality of groups based on a number of input words in each of the plurality of groups, determining a key value based on the pre bits, the groupID bits, and the post bits of one of the plurality of input words corresponding to the key group, and generating a plurality of coded words based on the key value and the plurality of input words.