Merkle Tree Traversal Techniques - CDC

Index
Abstract 5
Chapter 1: Introduction 6
Chapter 2: The Basics 8
2.1 Hash and One–Way Functions 8
2.1.1 One - Way Functions 8
2.1.2 Hash functions 9
2.2 Digital Signatures 9
2.2.1 The Definition 9
2.2.2 One - Time Digital Signatures 10
2.3 The Original Merkle Digital Signature 10
2.3.1 Introduction 10
2.3.2 The Lamport-Diffie one-time signature scheme 11
2.3.3 Winternitz improvement 12
2.3.4 Merkle trees 12
2.3.5 Authentication Paths 13
Chapter 3: Tree Traversal Techniques 14
3.1 Authentication Path Regeneration 14
3.2 Efficient Nodes Computation 14
3.3 The Classic Traversal 16
3.3.1 Key Generation and Setup 16
3.3.2 Output and Update 17
3.3.3 Example for the Classic Traversal 18
3.4 Fractal Tree Representation and Traversal 25
3.4.1 Notation 25
3.4.2 Existing and Desired Subtrees 26
3.4.3 Algorithm Presentation 27
3.4.4 Example for the fractal algorithm 29
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