structural complexity

In this work Binary Galois field GF(2m) elements multipliers structural complexity  and its components decreasing has investigated. Elements of fields are represented in the normal basis of type 2. The degree of the field is less then 998.

Method of structural complexity estimation of modified multiplying matrix with ordered structure is proposed. The method is based on total length of connections inside multiplying matrix calculation. Matrix with ordered structure allows a partition to the same sub-matrix. One submatrix can be serially used for multiplication instead of one large unmodified matrix