A construction of t-fold perfect splitting authentication codes with equal deception probabilities

作者：Li, Mingchao; Liang, Miao; Du, Beiliang^*

来源：Cryptography and Communications, 2015, 7(2): 207-215.

DOI：10.1007/s12095-014-0107-4

• t-fold perfect splitting authentication code
• Orthogonal multi-array
• Transversal splitting t-design

Orthogonal multi-arrays were first formulated by Brickell in investigation of authentication codes. In this article, we will prove that t-fold perfect splitting authentication codes with equal deception probabilities can be characterized in terms of orthogonal multiarrays. We will also investigate the existence of orthogonal multi-arrays, and show that the existence of orthogonal multi-arrays OMA(t, k x c, n)s is equivalent to the existence of transversal splitting t-designs splitting TD(t, kxc, n)s. Further, we obtain some new infinite classes of t-fold perfect splitting authentication codes with equal deception probabilities.

• 出版日期2015-6
• 单位苏州大学; 河北工程大学; 苏州市职业大学; 宿州学院