𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Polynomial and Normal Bases for Finite Fields

✍ Scribed by Joachim Gathen; Michael Nöcker

Publisher
Springer
Year
2005
Tongue
English
Weight
302 KB
Volume
18
Category
Article
ISSN
0933-2790

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Density of Normal Bases in Finite
On the Density of Normal Bases in Finite Fields
✍ Gudmund Skovbjerg Frandsen 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 164 KB

## Let % O L denote the "nite "eld with qL elements, for q a prime power. % O L may be regarded as an n-dimensional vector space over % O . 3% O L generates a normal basis for this vector space (% O L :% O ), if + , O, q , 2 , O L\ , are linearly independent over % O . Let N O (n) denote the numbe

On Normal Bases for Finite Commutative R
On Normal Bases for Finite Commutative Rings
✍ Gabriele Steidl 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 920 KB

This paper is devoted to the introduction of extension rings S := R[z]/gR[z] with a suitable polynomial g 6 R[z] of arbitrary commutative rings R with identity and to the development of a normal basis concept of S over R, which is similar to that of GALOIS extensions of finite fielda. We prove new r

Explicit Iterative Constructions of Norm
Explicit Iterative Constructions of Normal Bases and Completely Free Elements in Finite Fields
✍ Dirk Hachenberger 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 305 KB

A characterization of normal bases and complete normal bases in GF(q r n ) over GF(q), where q Ͼ 1 is any prime power, r is any prime number different from the characteristic of GF(q), and n Ն 1 is any integer, leads to a general construction scheme of series (v n ) nՆ0 in GF(q r ȍ ) :ϭ ʜ nՆ0 GF(q r