A correction and improvements of some recent results on walsh transforms of gold type and Kasami-Welch type functions

Date

2017-01-01

Author

Coşgun, Ayhan
Özbudak, Ferruh

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We give explicit evaluations of Walsh transforms of Gold type functions f(x) = Tr-K (x(2a +1) + x(2b +1)), 0 <=< a < b when gcd (b - a, k) = gcd (b + a, k) and Kasami-Welch type functions f (x) = Tr-K (2(ta+1)/x(2a +1)), when t is odd, gcd (2(k) - 1,2(a) + 1) = 1, k is even. Therefore we correct a recent result of Roy'2012, we solve an open problem stated in Roy'2012 and we improve and generalize some results of Roy'2012 and Lahtonen-McGuire-Ward'2007.

Subject Keywords

Finite fields, Gold type functions, Kasami-Welch type functions, Walsh transform

URI

https://hdl.handle.net/11511/34283

DOI

https://doi.org/10.1007/978-3-319-55227-9_17

Collections

Department of Mathematics, Conference / Seminar

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Citation Formats

A. Coşgun and F. Özbudak, “A correction and improvements of some recent results on walsh transforms of gold type and Kasami-Welch type functions,” 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34283.