Advertisement
Published in:
1972 | OriginalPaper | Chapter
Polynomials and Finite Fields
Author : Joan M. Holland
Published in: Studies in Structure
Publisher: Palgrave Macmillan UK
Included in: Professional Book Archive
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
In section 7.1 a field was defined and examples were mentioned which included the finite field Zp obtained by forming the residue classes for a prime modulus p. In this chapter we shall consider other finite fields obtained by combining Zp with powers of x to form polynomial expressions in x: but first it is advisable to extend the ideas on congruency and on the solution of congruencies which were introduced in Chapter 1. Section 1.10 is particularly relevant.