1. INTRODUCTION

2. CARD PRESENT TRANSACTIONS
2.1 EMV: Europay, Mastercard, and Visa
2.2 Attack against SDA
2.3 MITM Attack against EMV
2.4 Unpredictable Number in EMV
2.5 Relay Attack against EMV

3. ELLIPTIC CURVE CRYPTOGRAPHY (ECC) IN EMV SMART CARDS

4. CARD-NOT-PRESENT TRANSACTIONS
4.1 3D Secure ("Verified-by-Visa" or "MasterCard-Secure-Code")
4.2 Secure Electronic Transaction (SET)
4.3 SET/EMV
4.4 Chip Authentication Program: EMV/CAP

5. TOKENIZATION

6. BLIND SIGNATURES SCHEMES IN E-PAYMENT
6.1 Fair Blind Signatures Schemes in E-Payment
6.2 Group Blind Signatures Schemes in E-Payment

7. QUANTUM CRYPTOGRAPHY IN E-PAYMENT
7.1 Quantum Fair Blind Signatures in E-Payment
7.2 Compact Quantum Key Distribution in E-Payment

8. ELECTRONIC CURRENCY AND PEER TO PEER PAYMENT SYSTEMS

9. NEAR FIELD COMMUNICATION (NFC)
9.1 NFC Vulnerabilities
9.2 Migration from RFID Cards towards NFC Enabled Mobile
9.3 Google Wallet, Android Pay, Apple Pay

10. CONCLUSION