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Constructions of bent functions from two known bent functions. (English) Zbl 0802.05021
Authors’ abstract: A \((1,-1)\)-matrix will be called a bent type matrix if each row and each column are bent sequences. (…) 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 10 bent sequences of length \(2^{2k}\) from two known bent sequences of length \(2^{2k-2}\).

05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.)
11B83 Special sequences and polynomials
94A60 Cryptography