Niho bent functions from quadratic o-monomials

In this paper, we extend the class of Niho bent function consisting of 2^r terms discovered by Leander and Kholosha. The extension is achieved by inserting coefficients of the power terms in the original function. Doing this, we obtain relation to all the existing quadratic o-monomials. We also calculate the algebraic degree of any function in the extended class.