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- Title
Walsh Transforms of Some Quadratic Trace Forms with One and Two terms for Even Degree Extension and Related Artin-Schreier Curves.
- Authors
Roy, Sankhadip
- Abstract
In this paper, we present the Walsh transform fW: F2n → Z of some quadratic trace forms f(x) = ... over finite fields of characteristic two where the degree of extension n is even. In this article, we consider only trace forms with one or two terms where ais are coming from base field F2. We use the Walsh coefficient fW (0) to investigate the number of rational points on Artin-Schreier curves over F2n of the form χ: y² + y = .... Using these results we also derive some maximal Artin-Scheier curves.
- Subjects
QUADRATIC forms; RATIONAL points (Geometry); ARTIN algebras; RATIONAL numbers; FINITE fields
- Publication
IAENG International Journal of Applied Mathematics, 2022, Vol 52, Issue 1, p61
- ISSN
1992-9978
- Publication type
Article