On Galois fields
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 con...
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1994
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oai:animorepository.dlsu.edu.ph:etd_bachelors-166772022-02-02T03:16:27Z On Galois fields Buaquena, Myraleen G. Chavez, Rona C. 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. 1994-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16164 Bachelor's Theses English Animo Repository Galois theory Rings (Algebra) Vector spaces Fields, Algebraic Modular fields Numbers, Theory of |
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De La Salle University |
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De La Salle University Library |
| continent |
Asia |
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Philippines Philippines |
| content_provider |
De La Salle University Library |
| collection |
DLSU Institutional Repository |
| language |
English |
| topic |
Galois theory Rings (Algebra) Vector spaces Fields, Algebraic Modular fields Numbers, Theory of |
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Galois theory Rings (Algebra) Vector spaces Fields, Algebraic Modular fields Numbers, Theory of Buaquena, Myraleen G. Chavez, Rona C. On Galois fields |
| description |
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. |
| format |
text |
| author |
Buaquena, Myraleen G. Chavez, Rona C. |
| author_facet |
Buaquena, Myraleen G. Chavez, Rona C. |
| author_sort |
Buaquena, Myraleen G. |
| title |
On Galois fields |
| title_short |
On Galois fields |
| title_full |
On Galois fields |
| title_fullStr |
On Galois fields |
| title_full_unstemmed |
On Galois fields |
| title_sort |
on galois fields |
| publisher |
Animo Repository |
| publishDate |
1994 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/16164 |
| _version_ |
1772835069502685184 |