Abstract
We characterize certain maximal curves over finite fields defined by equations of type yn=xm+x. Moreover, we show that a maximal curve over Fq2 defined by the affine equation yn=f(x), where f(x)∈Fq2[x] is separable of degree coprime to n, is such that n is a divisor of q+1 if and only if f(x) has a root in Fq2. In this case, all the roots of f(x) belong to Fq2; cf. Theorems 1.2 and 4.3 in Garcia and Tafazolian (2008) [9].
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
