A new class of 3-fold perfect splitting authentication codes
A new class of 3-fold perfect splitting authentication codes
复制标题
DOI：
10.1007/s10623-011-9496-y
复制
发表时间：
2011-03
期刊：
影响因子：
--
通讯作者：
M. Liang;B. Du
中科院分区：
文献类型：
--
作者：
M. Liang;B. Du
限制性强部分平衡设计是由Pei，Li，Wang和Safavi-Naini在研究带仲裁的认证码时首先提出的。在这篇文章中，我们将证明分裂认证码，是多重完美的防欺骗可以描述的限制强部分平衡设计。我们还将研究限制性强部分平衡3-设计RSPBD 3-（v，B，3 × 2; λ1，λ2，1，0）s的存在性，并证明对任意$${v\equiv 9\（\mbox{{\rm mod}}\ 16）}$$，存在RSPBD 3-（v，B，3 × 2; λ1，λ2，1，0）。作为其应用，我们得到了一类新的无限重完美分裂认证码。
Restricted strong partially balancedt-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 balancedt-designs. We will also investigate the existence of restricted strong partially balanced 3-designs RSPBD 3-(v,b, 3 × 2; λ1, λ2, 1, 0)s, and show that there exists an RSPBD 3-(v,b, 3 × 2; λ1, λ2, 1, 0) for any $${v\equiv 9\ (\mbox{{\rm mod}}\ 16)}$$ . As its application, we obtain a new infinite class of 3-fold perfect splitting authentication codes.