On Weierstrass Semigroups of Some Triples on Norm-Trace Curves

In this paper, we consider the norm-trace curves which are defined by the equation yqr−1 + yqr−2 + · · · + y = x qr−1 q−1 over IFqr where q is a power of a prime number and r ≥ 2 is an integer. We determine the Weierstrass semigroup of the triple of points (P∞, P00, P0b) on this curve.

• Type: Conference
• Year: 2009
• Where: CODCRY
• Authors: Gretchen L. Matthews
• Keywords: CODCRY 2009, Cryptology, Prime Number, Weierstrass