A Class of Ideal Multi-Secret Sharing Schemes Having the Associated Matroid

Nowadays the study of secret sharing schemes in the term of the matroid has become active.Quite some conclusions have been reached about mono secret sharing schemes by using the matroid.Reference,showsd that not every multi secret sharing scheme has its associated matroid. It brings about some difficulty to the study of the multi secret sharing scheme in the term of the matroid. In this paper the authors find a class of multi secret sharing schemes, which has the associated matroid. And the matroid is representable over F q.