×

zbMATH — the first resource for mathematics

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 \(2^{2k-2}\).

MSC:
05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.)
11B83 Special sequences and polynomials
94A60 Cryptography
PDF BibTeX XML Cite