Introduction

A Kraft-McMillan inequality for fix-free codes

Applications of fix-free codes

Summary of this survey

Chapter 1
The Kraft Inequality for Fix-Free Codes

1.1 Notations and Definitions

1.2 Fix-Free Codes

1.3 The Kraft Inequality for Prefix-Free Codes

1.4 Kraftsums of Fix-Free Codes and the ¾-Conjecture

1.5 Extensions of Fix-Free Codes

Chapter 2
The ¾-Conjecture for q-ary Fix-Free Codes

Chapter 3
The de Bruijn Digraphs 𝓑ₓ(q)(n)

Chapter 4
Fix-Free Codes Obtained from π-Systems

Chapter 5
The ¾-Conjecture for Binary Fix-Free Codes

Conclusion