On the Hermitian curve and its intersections with some conics

DOI10.1016/j.ffa.2014.02.005zbMath1296.11078arXiv1402.3829OpenAlexW2094460815MaRDI QIDQ402560

Massimiliano Sala, Chiara Marcolla, Marco Pellegrini

Publication date: 28 August 2014

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.1627

zbMATH Keywords

parabolaHermitian curveintersection

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Curves over finite and local fields (11G20)

Related Items (6)

Rational points on cubic surfaces and AG codes from the norm-trace curve ⋮ Minimum-weight codewords of the Hermitian codes are supported on complete intersections ⋮ On the small-weight codewords of some Hermitian codes ⋮ Intersections between the norm-trace curve and some low degree curves ⋮ Weight distribution of Hermitian codes and matrices rank ⋮ Hermitian codes and complete intersections

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The dual minimum distance of arbitrary-dimensional algebraic-geometric codes
• Algebraic function fields and codes
• On the intersection pattern of a unital and an oval in \(PG(2,q^{2})\)
• On codes from norm-trace curves
• On the intersection of a Hermitian curve with a conic
• A note on Hermitian codes over GF(q/sup 2/)
• A characterization of Hermitian function fields over finite fields.
• On automorphism groups of the Hermitian codes

This page was built for publication: On the Hermitian curve and its intersections with some conics