𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Sieve methods for polynomial rings over finite fields

✍ Scribed by William A Webb


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
430 KB
Volume
16
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Factoring in Skew-polynomial Rings over
✍ M. Giesbrecht πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 716 KB

Efficient algorithms are presented for factoring polynomials in the skew-polynomial ring F[x; Οƒ], a non-commutative generalization of the usual ring of polynomials F[x], where F is a finite field and Οƒ: F β†’ F is an automorphism (iterated Frobenius map). Applications include fast functional decomposi

Exceptional Polynomials over Finite Fiel
✍ S.D. Cohen; R.W. Matthews πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 641 KB

A recently discovered family of indecomposable polynomials of nonprime power degree over \(\mathbb{F}_{2}\) (which include a class of exceptional polynomials) is set against the background of the classical families and their monodromy groups are obtained without recourse to the classification of fin

Deterministic Analysis of Aleatoric Meth
✍ M. Rothstein; H. Zassenhaus πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 677 KB

We analyze the problem of finding the roots of an arbitrary polynomial over a finite field (equivalent to factoring an arbitrary polynomial over the field) and propose a deterministic approach which leads to a combinatorial problem whose satisfactory solution would yield a factoring method which is