𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A new family of maximal curves over a finite field

✍ Scribed by Massimo Giulietti; Gábor Korchmáros

Publisher
Springer
Year
2008
Tongue
English
Weight
258 KB
Volume
343
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Arcs and Curves over a Finite Field
Arcs and Curves over a Finite Field
✍ J.W.P. Hirschfeld; G. Korchmáros 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 149 KB

In [11], a new bound for the number of points on an algebraic curve over a "nite "eld of odd order was obtained, and applied to improve previous bounds on the size of a complete arc not contained in a conic. Here, a similar approach is used to show that a complete arc in a plane of even order q has

Explicit Constructions of Perfect Hash F
Explicit Constructions of Perfect Hash Families from Algebraic Curves over Finite Fields
✍ Huaxiong Wang; Chaoping Xing 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 149 KB

Let A be a set of order n and B be a set of order m. An (n, m, w)-perfect hash family is a set H of functions from A to B such that for any X A with |X |=w, there exists an element h # H such that h is one-to-one when restricted to X. Perfect hash families have many applications to computer science,

Some remarks on the Picard curves over a
Some remarks on the Picard curves over a finite field
✍ Yoh Takizawa 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 127 KB 👁 1 views

## Abstract In this paper we study the Newton polygon of the __L__ ‐polynomial __L__ (__t__) associate to the Picard curves __y__^3^ = __x__^4^ – 1, __y__^3^ = __x__^4^ – __x__ defined over a finite field 𝔽~__p__~ . In the former case we get a complete classification. In the latter case we obtai