For q a power of a prime p, it is known that if m is a power of p or m itself is a prime different from p having q as one of its primitive roots, then the roots of any irreducible polynomial of degree m and of non-zero trace are linearly independent ลฝ . over GF q . As a consequence the roots of such
โฆ LIBER โฆ
Algebraic algorithms in GF(q)
โ Scribed by J. Calmet
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 568 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
This talk reports on joint work with R. Loos (Univ. Karlsruhe) on algebraic algorithms for computing in large Galois Fields GF(q) with q = p" where p is the characteristic of the field and may be arbitrarily large.
This work is materialized by a module of algorithms implemented in the ALDES/SACZ computer algebra system, which will be available with the next release of this system.
๐ SIMILAR VOLUMES
Normal Bases over GF(q)
โ
Yaotsu Chang; T.K Truong; I.S Reed
๐
Article
๐
2001
๐
Elsevier Science
๐
English
โ 97 KB
Generating orthomorphisms of GF(q)+
โ
Anthony B. Evans
๐
Article
๐
1987
๐
Elsevier Science
๐
English
โ 403 KB
Equidistant cyclic codes over GF(q)
โ
W.Edwin Clark
๐
Article
๐
1977
๐
Elsevier Science
๐
English
โ 212 KB
On periodic sequences from GF(q)
โ
Robert J McEliece
๐
Article
๐
1971
๐
Elsevier Science
๐
English
โ 543 KB
Distributions modulo subgroups of GF(q)
โ
Kjell Kjeldsen
๐
Article
๐
1973
๐
Elsevier Science
๐
English
โ 160 KB
Unitary Similarity of Normal Matrices in
โ
A. Duane Porter; Leslie Ann Hanson
๐
Article
๐
1971
๐
John Wiley and Sons
๐
English
โ 357 KB