A Family of Universal Codes via Content-Aware Recursion and Impossible States

Key Points

• The aim is to introduce a new family of universal codes that optimize binary data encoding through content-aware techniques.
• Developed codes based on computable characteristics like popcount and pairwise XOR.
• Identified impossible states as unused coding space in binary encodings.
• Unified classical coding methods under a single parameterized construction.
• Introduced codes efficiently utilize free coding space identified by impossible states.
• Demonstrated that traditional coding methods can be unified as specific cases of the new construction.
• Showed that delimiters in existing codes are implicit examples of the new approach.