| Abstract in Chinese | 第1-5页 |
| Abstract | 第5-10页 |
| Chapter 1 Introduction | 第10-25页 |
| ·Authentication codes | 第10-14页 |
| ·Authentication codes with arbitration and its significance | 第14-22页 |
| ·Bounds on Authentication codes with arbitration | 第22-23页 |
| ·The Main Contents of the Dissertation | 第23-24页 |
| ·Brief Summary | 第24-25页 |
| Chapter 2 Preliminaries | 第25-40页 |
| ·Geometry of classical groups over finite fields | 第25-33页 |
| ·Concepts on Orthogonal space | 第33-36页 |
| ·Concepts on Pseudo-symplectic Space | 第36-39页 |
| ·Brief Summary | 第39-40页 |
| Chapter 3 Construction of A~2-Codes from Orthogonal Geometry | 第40-58页 |
| ·Preparations | 第40-41页 |
| ·Construction of an authentication code with arbitration | 第41-43页 |
| ·Computations of parameters | 第43-47页 |
| ·Computation of probabilities P_I,P_S, P_T, P_(R_0),P_(R_1) | 第47-57页 |
| ·Brief Summary | 第57-58页 |
| Chapter 4 Construction of A 2-Codes from Pseudo-symplectic Geometry | 第58-73页 |
| ·Pseudo-Symplectic Spaces | 第58-60页 |
| ·Construction of an authentication code with arbitration | 第60-63页 |
| ·Computation of parameters | 第63-66页 |
| ·Computation of probabilities P_I,P_S, P_T, P_(R_0),P_(R_1) | 第66-72页 |
| ·Brief Summary | 第72-73页 |
| Chapter 5 Properties of authentication codes with arbitration | 第73-87页 |
| ·Properties of A~2-codes | 第73-74页 |
| ·Combinatorial Lower Bound | 第74-77页 |
| ·New combinatorial lower bounds | 第77-80页 |
| ·Tighter lower bound on the sizes of Keys for larger |S| | 第80-84页 |
| ·Upper bounds on the sizes of keys of A~2-codes | 第84-85页 |
| ·Upper bounds on the sizes of keys for larger |S| | 第85-86页 |
| ·Brief Summary | 第86-87页 |
| Chapter 6 Methods to construct A~2-codes from A-codes | 第87-92页 |
| ·Preliminaries | 第87-88页 |
| ·Construction of A~2-codes from Splitting A-codes | 第88-91页 |
| ·Brief Summary | 第91-92页 |
| Conclusion | 第92-94页 |
| References | 第94-105页 |
| Papers published in the period of Ph. D Education | 第105-108页 |
| Acknowledgements | 第108-110页 |
| Resume | 第110页 |
