On Galois fields
Date of Publication
1994
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
The role of Galois fields in classical mathematics like Projective Geometry, and in new areas of mathematics like Coding Theory and Cryptology, has become increasingly important. This thesis discusses the restricted nature of the order of finite fields. Furthermore, the existence, uniqueness and construction of these fields are investigated. Properties related to the solution of an equation yk=c in a finite field are proved in this paper. Examples and illustrations are given to clarify concepts and results.This thesis is an exposition of Sections 1.1 and 1.5, (i) to (viii) of Projective Geometries over Finite Fields by J.W.P. Hirschfeld.
Abstract Format
html
Language
English
Format
Accession Number
TU06645
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
80 leaves
Keywords
Galois theory; Rings (Algebra); Vector spaces; Fields, Algebraic; Modular fields; Numbers, Theory of
Recommended Citation
Buaquena, M. G., & Chavez, R. C. (1994). On Galois fields. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16164
