METHODS, APPARATUS, AND ARTICLES OF MANUFACTURE TO ENCODE AUXILIARY DATA INTO NUMERIC DATA AND METHODS, APPARATUS, AND ARTICLES OF MANUFACTURE TO OBTAIN ENCODED DATA FROM NUMERIC DATA

摘要

Methods, apparatus, and articles of manufacture to encode auxiliary data into numeric data and methods, apparatus, and articles of manufacture to obtain encoded data from numeric data are disclosed. An example method to embed auxiliary information into numeric data includes assigning source data to one of a plurality of groups, the source data comprising a numeric value, identifying a symbol to be added to the source data based on an assigned group of the source data, and generating encoded data by selectively modifying the numeric value of the source data to be representative of the symbol.