A Complete Proof of an Important Theorem for Variable-to-Variable Length Codes

TL;DR

This paper provides a comprehensive proof of a significant theorem related to variable-to-variable length codes, a class of lossless source coding methods that encode source sequences into variable-length codewords.

Contribution

The paper offers the first complete proof of an important theorem for VV codes, enhancing theoretical understanding of this coding class.

Findings

Complete proof of an important VV code theorem

Clarification of theoretical properties of VV codes

Strengthening the foundation for future VV code research

Abstract

Variable-to-variable length (VV) codes are a class of lossless source coding. As their name implies, VV codes encode a variable-length sequence of source symbols into a variable-length codeword. This paper will give a complete proof of an important theorem for variable-to-variable length codes.