Titlebook: Computational and Algorithmic Problems in Finite Fields; Igor E. Shparlinski Book 1992 Springer Science+Business Media Dordrecht 1992 Nota

foreign

The Distribution of Irreducible and Primitive Polynomials,Another interesting problem, related to irreducible, primitive and other special polynomials, is investigation of their distribution in various subsets of .(.). This problem is important as in some applications polynomials may have special forms (for example, have small height or weight).

In-Situ

Foreshadow

Elliptic Curves,Here we consider elliptic curves (or algebraic curves of genus . = 1) for more details (see [602, 657, 1104, 1175, 1295]).

數(shù)量

Recurrent Sequences in Finite Fields and Cyclic Linear Codes,Linear recurrent sequences in finite fields appear in many different areas of mathematics such as coding theory (in theory of cyclic linear codes), computational mathematics (when constructing pseudo-random numbers and quadrature formulas), etc. (see [601, 705, 706, 732, 1124]).

CLIFF

外觀

Arctic

Finite Fields and Discrete Mathematics,etries and to other areas of discrete mathematics have been described in [580, 705, 706, 732] (see also Chapter 5, Chapter 6, and Chapter 7 of the present work). Here we only discuss a number of papers, which have to do with new applications of finite fields.

Cardiac

阻塞

Computational and Algorithmic Problems in Finite Fields

HAVOC

Internal Symmetries and Gauge Theories, results of this type can be found in the books [20, 22, 280, 427, 601, 604, 705, 706, 737, 1143, 1199] and the surveys [50, 96, 203, 312, 385, 398, 436, 549, 683, 693, 738, 863, 1095, 1116, 1279, 1295], devoted to more general questions. See also [12] for related open problems.