Circulant matrix have application in code theory, applied mathematics,
engineering mathematics, physics, mathematical statistics and so on, especially,
circulant matrix take up an important status in error correcting code
theory, reference [1] gave a deep discuss on circulant matrix theory, in this
paper, we generalized this notion to skew field, then, given the notion and the
property of solution of symmetric circulant matrix on skew field, and then,
given the formula of determine inverse about several special type of symmetric
circulant matrix.