论文标题
带有参数的Cameron-Liebler行类$ x = \ frac {（q+1）^2} {3} $
Cameron-Liebler Line Classes with parameter $x=\frac{(q+1)^2}{3}$
论文作者
论文摘要
Cameron-Liebler Line类是在\ cite {Cl}中引入的，并由有关$ \ pg（3，q）$的colleation组轨道的问题进行了激励。这些行类别以变相的名称出现在不同的上下文中，例如Boolean Derme One功能，覆盖半径一的常规代码以及紧密的集合。 In this paper we construct an infinite family of Cameron-Liebler line classes in $\PG(3,q)$ with new parameter $x=(q+1)^2/3$ for all prime powers $q$ congruent to 2 modulo 3. The examples obtained when $q$ is an odd power of two represent the first infinite family of Cameron-Liebler line classes in $\PG(3,q)$, $q$ even.
Cameron-Liebler line classes were introduced in \cite{CL}, and motivated by a question about orbits of collineation groups of $\PG(3,q)$. These line classes have appeared in different contexts under disguised names such as Boolean degree one functions, regular codes of covering radius one, and tight sets. In this paper we construct an infinite family of Cameron-Liebler line classes in $\PG(3,q)$ with new parameter $x=(q+1)^2/3$ for all prime powers $q$ congruent to 2 modulo 3. The examples obtained when $q$ is an odd power of two represent the first infinite family of Cameron-Liebler line classes in $\PG(3,q)$, $q$ even.
