摘要
设F_q是一个q元有限域,其中q是2的一个方幂。用F_q^((n))表示F_q上的n维正交空间。本文计算了F_q^((n))中任一个子空间的对偶子空间的维数,并确定了这种子空间的类型。
Let Fq be the finite field with q elements,where q is a power of 2. Denote by Fq(n) the n-dimensional orthogonal space over F,. In this paper,the dimensions of dual subspaces of subspaces in Fq(n) are computed and their types are determined.