Poojary, Prasanna and Harikrishnan, P and Bhatta, Vadiraja G R (2020) Correction to: Algebraic Construction of Near-Bent and APN Functions. Advances in Applied Clifford Algebras. pp. 25-26. ISSN 0188-7009

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Abstract

Remark 4.1 and Remark 4.5 in Section 4 will be true only if a is a power of two. Hence, the proofs of Theorem 4.2 and Theorem 4.6 hold in the case of a being a power of 2. More generally, both Theorems 4.2 and 4.6 are true by observing the change of variable x → y + 1 in the Walsh-Hadamard Transform, as it is a permutation on the finite field, i.e., we get exactly opposite values of the function f(x) = Tr( x)d, where d is the Niho exponent. Since the function f(x) = Tr(x)d is near-bent function, the function f(x) = Tr(x+1)d is also a near bent function

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