In this paper, we propose a restricted strongly partially-balanced t-design in a finite two-dimension vector space, and construct a perfect splitting authentication code on the basis of this design. First, based on the theory of equations, a strongly partially-balanced t-design is constructed, and directly one type of splitting authentication codes is obtained. Second, one more type of authentication codes is generated by adding constraints to the above construction process. The two types of codes are proved perfect on splitting authentication by calculating their r-order probabilities of successful spoofing attacks respectively. Finally, the performances of two types of codes are analyzed. By simulations with a specific example, the rationality and validity of the construction approaches are verified. Compared with previous works, it is concluded that in this method, the successful probability of each order deception attack could reach the minimum by using large number of sources, and that the coding algorithm and simulation are easy to implement due to its simple theoretical basis. Therefore, the code constructed in this paper is competitive in terms of amount of transmitting information, security and practicability.
WANG Xiuli, CAO Miao, WANG Lina
. Construction of Splitting Authentication Codes Using Strongly Partially Balanced t-Design[J]. Journal of Applied Sciences, 2020
, 38(6)
: 1006
-1016
.
DOI: 10.3969/j.issn.0255-8297.2020.06.017
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