Introduction to finite fields and their applications:
The theory of finite fields is a branch of modern algebra that has come to the fore in recent years because of its diverse applications in such areas as combinatorics, coding theory, cryptology and the mathematical study of switching circuits. The first part of this updated edition presents an intro...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1994
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| Ausgabe: | Second edition |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBY01 URL des Erstveröffentlichers |
| Zusammenfassung: | The theory of finite fields is a branch of modern algebra that has come to the fore in recent years because of its diverse applications in such areas as combinatorics, coding theory, cryptology and the mathematical study of switching circuits. The first part of this updated edition presents an introduction to this theory, emphasising those aspects that are relevant for application. The second part is devoted to a discussion of the most important applications of finite fields, especially to information theory, algebraic coding theory and cryptology. There is also a chapter on applications within mathematics, such as finite geometries, combinatorics and pseudo-random sequences. The book is meant to be used as a textbook: worked examples and copious exercises that range from the routine, to those giving alternative proofs of key theorems, to extensions of material covered in the text, are provided throughout. It will appeal to advanced undergraduates and graduate students taking courses on topics in algebra, whether they have backgrounds in mathematics, electrical engineering or computer science. Non-specialists will also find this a readily accessible introduction to an active and increasingly important subject |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xi, 416 pages) |
| ISBN: | 9781139172769 |
| DOI: | 10.1017/CBO9781139172769 |
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| 246 | 1 | 3 | |a Introduction to Finite Fields & their Applications |
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| 520 | |a The theory of finite fields is a branch of modern algebra that has come to the fore in recent years because of its diverse applications in such areas as combinatorics, coding theory, cryptology and the mathematical study of switching circuits. The first part of this updated edition presents an introduction to this theory, emphasising those aspects that are relevant for application. The second part is devoted to a discussion of the most important applications of finite fields, especially to information theory, algebraic coding theory and cryptology. There is also a chapter on applications within mathematics, such as finite geometries, combinatorics and pseudo-random sequences. The book is meant to be used as a textbook: worked examples and copious exercises that range from the routine, to those giving alternative proofs of key theorems, to extensions of material covered in the text, are provided throughout. It will appeal to advanced undergraduates and graduate students taking courses on topics in algebra, whether they have backgrounds in mathematics, electrical engineering or computer science. Non-specialists will also find this a readily accessible introduction to an active and increasingly important subject | ||
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Datensatz im Suchindex
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| author | Lidl, Rudolf |
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| dewey-full | 512/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-sort | 3512 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139172769 |
| edition | Second edition |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:39:19Z |
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| isbn | 9781139172769 |
| language | English |
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| spelling | Lidl, Rudolf Verfasser aut Introduction to finite fields and their applications Rudolf Lidl, Harald Niederreiter Introduction to Finite Fields & their Applications Second edition Cambridge Cambridge University Press 1994 1 online resource (xi, 416 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) The theory of finite fields is a branch of modern algebra that has come to the fore in recent years because of its diverse applications in such areas as combinatorics, coding theory, cryptology and the mathematical study of switching circuits. The first part of this updated edition presents an introduction to this theory, emphasising those aspects that are relevant for application. The second part is devoted to a discussion of the most important applications of finite fields, especially to information theory, algebraic coding theory and cryptology. There is also a chapter on applications within mathematics, such as finite geometries, combinatorics and pseudo-random sequences. The book is meant to be used as a textbook: worked examples and copious exercises that range from the routine, to those giving alternative proofs of key theorems, to extensions of material covered in the text, are provided throughout. It will appeal to advanced undergraduates and graduate students taking courses on topics in algebra, whether they have backgrounds in mathematics, electrical engineering or computer science. Non-specialists will also find this a readily accessible introduction to an active and increasingly important subject Finite fields (Algebra) Galois-Feld (DE-588)4155896-0 gnd rswk-swf Galois-Feld (DE-588)4155896-0 s 1\p DE-604 Niederreiter, Harald 1944- Sonstige oth Erscheint auch als Druckausgabe 978-0-521-46094-1 https://doi.org/10.1017/CBO9781139172769 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lidl, Rudolf Introduction to finite fields and their applications Finite fields (Algebra) Galois-Feld (DE-588)4155896-0 gnd |
| subject_GND | (DE-588)4155896-0 |
| title | Introduction to finite fields and their applications |
| title_alt | Introduction to Finite Fields & their Applications |
| title_auth | Introduction to finite fields and their applications |
| title_exact_search | Introduction to finite fields and their applications |
| title_full | Introduction to finite fields and their applications Rudolf Lidl, Harald Niederreiter |
| title_fullStr | Introduction to finite fields and their applications Rudolf Lidl, Harald Niederreiter |
| title_full_unstemmed | Introduction to finite fields and their applications Rudolf Lidl, Harald Niederreiter |
| title_short | Introduction to finite fields and their applications |
| title_sort | introduction to finite fields and their applications |
| topic | Finite fields (Algebra) Galois-Feld (DE-588)4155896-0 gnd |
| topic_facet | Finite fields (Algebra) Galois-Feld |
| url | https://doi.org/10.1017/CBO9781139172769 |
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