A new class of 3-fold perfect splitting authentication codes

作者：Liang, Miao; Du, Beiliang^*

来源：Designs, Codes and Cryptography, 2012, 62(1): 109-119.

DOI：10.1007/s10623-011-9496-y

• Restricted strong partially balanced t-designs
• t-fold perfect splitting authentication codes
• Candelabra restricted strong partially balanced t-systems

Restricted strong partially balanced t-designs were first formulated by Pei, Li, Wang and Safavi-Naini in investigation of authentication codes with arbitration. In this article, we will prove that splitting authentication codes that are multi-fold perfect against spoofing can be characterized in terms of restricted strong partially balanced t-designs. We will also investigate the existence of restricted strong partially balanced 3-designs RSPBD 3-(v, b, 3 x 2; lambda(1), lambda(2), 1, 0)s, and show that there exists an RSPBD 3-(v, b, 3 x 2; lambda(1), lambda(2), 1, 0) for any v = 9 (mod 16). As its application, we obtain a new infinite class of 3-fold perfect splitting authentication codes.

• 出版日期2012-1
• 单位宿州学院; 苏州大学; 苏州市职业大学