Finite fields
A New Characterization of Semi-bent and Bent Functions on Finite Fields*
Designs, Codes and Cryptography
Construction of bent functions from near-bent functions
Journal of Combinatorial Theory Series A
New binomial bent functions over the finite fields of odd characteristic
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
On cryptographic properties of the cosets of R(1, m)
IEEE Transactions on Information Theory
Normal extensions of bent functions
IEEE Transactions on Information Theory
On bent and semi-bent quadratic Boolean functions
IEEE Transactions on Information Theory
Monomial and quadratic bent functions over the finite fields of odd characteristic
IEEE Transactions on Information Theory
A construction of bent functions from plateaued functions
Designs, Codes and Cryptography
Quadratic functions with prescribed spectra
Designs, Codes and Cryptography
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In this article a technique for constructing p-ary bent functions from near-bent functions is presented. This technique is then used to obtain both weakly regular and non-weakly regular bent functions. In particular we present the first known infinite class of non-weakly regular bent functions.