A Steiner quadruple system of order \(v+1\) with resolvable derived designs (every derived Steiner triple system of order v at a point is resolvable), abbreviated as RDSQS\((v+1)\), has been used to construct a large set of Kirkman triple systems of order 3v. In this paper, an RDSQS\((v+1)\) is reduced to an overlarge set of Kirkman triple systems of order v with an additional property (OLKTS\(^+(v)\)), which plays the same role in constructing an LKTS(3v) as an RDSQS\((v+1)\). Some recursive constructions of OLKTS\(^+\)s are also established. As a result, some infinite classes of OLKTS\(^+\)s and LKTSs are obtained.

具有可解析导出设计的\(v+1\)阶 Steiner 四元组（每个导出的v阶 Steiner 三元组在某一点都是可解析的），缩写为 RDSQS \((v+1)\)，已用于构建一大组 3 v阶柯克曼三重系统。在本文中，RDSQS \((v+1)\)被简化为具有附加属性 (OLKTS \(^+(v)\) ）的v阶柯克曼三重系统的超大集合，其起到相同的作用将 LKTS(3 v ) 构造为 RDSQS \((v+1)\)。还建立了OLKTS \(^+\)的一些递归构造。结果，获得了一些无限类 OLKTS \(^+\)和 LKTS。