WALSH TRANSFORMS OF TRACE FORMS WITH THREE OR MORE TERMS AND SOME MAXIMAL ARTIN–SCHREIER CURVES

摘要

We introduce some results for the Walsh transforms of quadratic trace forms with three or more terms. We also generalize some results on Kasami–Welch functions. We use Walsh transforms to obtain the number of rational points on Artin–Schreier curves over F_2~k: Later we construct some maximal Artin–Schreier curves over F_2~k for an even integer k.