Constructions of Bent Functions from Two Known Bent Functions

A (1,-1)-matrix will be called a bent type matrix if each row and each column are bent sequences. A similar description can be found in Carlisle M. in which the authors use the properties of bent type matrices to construct a class of bent functions. In this paper we give a general method to construct bent type matrices and show that the bent sequence obtained from a bent type matrix is a generalized result of the Kronecker product of two known bent sequences. Also using two known bent sequences of length 2 2k?2 we can construct 2 k ? 2 bent sequences of length 2 2k , more than in the ordinary construction, which gives construct 10 bent sequences of length 2 2k from two known bent sequences of length length 2 2k?2 .