✦ LIBER ✦

The distribution of values of polynomials over a finite field

✍ Scribed by Arnold Knopfmacher; John Knopfmacher

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 278 KB
Volume: 134
Category: Article
ISSN: 0024-3795
DOI: 10.1016/0024-3795(90)90013-3

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On Value Sets of Polynomials over a Fini

On Value Sets of Polynomials over a Finite Field

✍ Wayne Aitken 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 254 KB

We study value sets of polynomials over a finite field, and value sets associated to pairs of such polynomials. For example, we show that the value sets (counting multiplicities) of two polynomials of degree at most d are identical or have at most q!(q!1)/d values in common where q is the number of

Value sets of Dickson polynomials over f

Value sets of Dickson polynomials over finite fields

✍ Wun-Seng Chou; Javier Gomez-Calderon; Gary L. Mullen 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 484 KB

The Distribution of Reciprocal Pairs Mod

The Distribution of Reciprocal Pairs Modulo Polynomials over a Finite Field

✍ Doug Hensley 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 665 KB

## Abstract Given a finite field __F__~__q__~ of order __q__, a fixed polynomial __g__ in –__F__~q~[__X__] of positive degree, and two elements __u__ and __v__ in the ring of polynomials in __R__ = __F__~__q__~ [__X__]/__gF__~__q__~[__X__], the question arises: How many pairs (a, 6) are there in __

Polynomial Distribution and Sequences of

Polynomial Distribution and Sequences of Irreducible Polynomials over Finite Fields

✍ Wun-Seng Chou; Stephen D Cohen 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 153 KB

Let k=GF(q) be the finite field of order q. Let f 1 (x), f 2 (x) # k[x] be monic relatively prime polynomials satisfying n=deg f 1 >deg f 2 0 and f 1 (x)Âf 2 (x){ g 1 (x p )Âg 2 (x p ) for any g 1 (x), g 2 (x) # k[x]. Write Q(x)= f 1 (x)+tf 2 (x) and let K be the splitting field of Q(x) over k(t). L

On the Value Sets of Special Polynomials

On the Value Sets of Special Polynomials over Finite Fields

✍ Abramo Hefez 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 225 KB

A Class of Polynomials over Finite Field

A Class of Polynomials over Finite Fields

✍ Arnaldo Garcia; Henning Stichtenoth 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 129 KB

Generalizing the norm and trace mappings for % O P /% O , we introduce an interesting class of polynomials over "nite "elds and study their properties. These polynomials are then used to construct curves over "nite "elds with many rational points.