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
Gespeichert in:
| Vorheriger Titel: | Lidl, Rudolf Finite fields |
|---|---|
| Hauptverfasser: | , |
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge u.a.
Cambridge Univ. Press
1994
|
| Ausgabe: | Rev. ed. |
| Schlagworte: | |
| 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 book 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 for material covered in the text, are provded throughout. It will appeal to advanced undergraduates and graduate students taking courses on topics in applied algebra whether they have backgrounds in mathematics, electrical engineering or computer science |
| Beschreibung: | XI, 416 S. graph. Darst. |
| ISBN: | 0521460948 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV009988649 | ||
| 003 | DE-604 | ||
| 005 | 20100630 | ||
| 007 | t | ||
| 008 | 950116s1994 d||| |||| 00||| eng d | ||
| 020 | |a 0521460948 |9 0-521-46094-8 | ||
| 035 | |a (OCoLC)29597627 | ||
| 035 | |a (DE-599)BVBBV009988649 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-91 |a DE-91G |a DE-29T |a DE-898 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA247.3 | |
| 082 | 0 | |a 512/.3 |2 20 | |
| 084 | |a SK 230 |0 (DE-625)143225: |2 rvk | ||
| 084 | |a MAT 124f |2 stub | ||
| 100 | 1 | |a Lidl, Rudolf |d 1948- |e Verfasser |0 (DE-588)136240755 |4 aut | |
| 245 | 1 | 0 | |a Introduction to finite fields and their applications |c Rudolf Lidl ; Harald Niederreiter |
| 250 | |a Rev. ed. | ||
| 264 | 1 | |a Cambridge u.a. |b Cambridge Univ. Press |c 1994 | |
| 300 | |a XI, 416 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 520 | 3 | |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 | |
| 520 | |a The first part of this book 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 | ||
| 520 | |a 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 for material covered in the text, are provded throughout. It will appeal to advanced undergraduates and graduate students taking courses on topics in applied algebra whether they have backgrounds in mathematics, electrical engineering or computer science | ||
| 650 | 4 | |a Corps finis | |
| 650 | 4 | |a Finite fields (Algebra) | |
| 650 | 0 | 7 | |a Galois-Feld |0 (DE-588)4155896-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Galois-Feld |0 (DE-588)4155896-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Niederreiter, Harald |d 1944- |e Verfasser |0 (DE-588)117716979 |4 aut | |
| 780 | 0 | 0 | |i Frühere Ausg. u.d.T. |a Lidl, Rudolf |t Finite fields |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006620339 | ||
Datensatz im Suchindex
| _version_ | 1804124363084005376 |
|---|---|
| any_adam_object | |
| author | Lidl, Rudolf 1948- Niederreiter, Harald 1944- |
| author_GND | (DE-588)136240755 (DE-588)117716979 |
| author_facet | Lidl, Rudolf 1948- Niederreiter, Harald 1944- |
| author_role | aut aut |
| author_sort | Lidl, Rudolf 1948- |
| author_variant | r l rl h n hn |
| building | Verbundindex |
| bvnumber | BV009988649 |
| callnumber-first | Q - Science |
| callnumber-label | QA247 |
| callnumber-raw | QA247.3 |
| callnumber-search | QA247.3 |
| callnumber-sort | QA 3247.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 230 |
| classification_tum | MAT 124f |
| ctrlnum | (OCoLC)29597627 (DE-599)BVBBV009988649 |
| dewey-full | 512/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.3 |
| dewey-search | 512/.3 |
| dewey-sort | 3512 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Rev. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02476nam a2200433 c 4500</leader><controlfield tag="001">BV009988649</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20100630 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">950116s1994 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521460948</subfield><subfield code="9">0-521-46094-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)29597627</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV009988649</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA247.3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.3</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 230</subfield><subfield code="0">(DE-625)143225:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 124f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lidl, Rudolf</subfield><subfield code="d">1948-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)136240755</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to finite fields and their applications</subfield><subfield code="c">Rudolf Lidl ; Harald Niederreiter</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Rev. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge u.a.</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 416 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="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</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The first part of this book 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</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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 for material covered in the text, are provded throughout. It will appeal to advanced undergraduates and graduate students taking courses on topics in applied algebra whether they have backgrounds in mathematics, electrical engineering or computer science</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Corps finis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Finite fields (Algebra)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Galois-Feld</subfield><subfield code="0">(DE-588)4155896-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Galois-Feld</subfield><subfield code="0">(DE-588)4155896-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Niederreiter, Harald</subfield><subfield code="d">1944-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)117716979</subfield><subfield code="4">aut</subfield></datafield><datafield tag="780" ind1="0" ind2="0"><subfield code="i">Frühere Ausg. u.d.T.</subfield><subfield code="a">Lidl, Rudolf</subfield><subfield code="t">Finite fields</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006620339</subfield></datafield></record></collection> |
| id | DE-604.BV009988649 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:44:28Z |
| institution | BVB |
| isbn | 0521460948 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006620339 |
| oclc_num | 29597627 |
| open_access_boolean | |
| owner | DE-384 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-29T DE-898 DE-BY-UBR DE-11 DE-188 |
| owner_facet | DE-384 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-29T DE-898 DE-BY-UBR DE-11 DE-188 |
| physical | XI, 416 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Lidl, Rudolf 1948- Verfasser (DE-588)136240755 aut Introduction to finite fields and their applications Rudolf Lidl ; Harald Niederreiter Rev. ed. Cambridge u.a. Cambridge Univ. Press 1994 XI, 416 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier 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 book 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 for material covered in the text, are provded throughout. It will appeal to advanced undergraduates and graduate students taking courses on topics in applied algebra whether they have backgrounds in mathematics, electrical engineering or computer science Corps finis Finite fields (Algebra) Galois-Feld (DE-588)4155896-0 gnd rswk-swf Galois-Feld (DE-588)4155896-0 s DE-604 Niederreiter, Harald 1944- Verfasser (DE-588)117716979 aut Frühere Ausg. u.d.T. Lidl, Rudolf Finite fields |
| spellingShingle | Lidl, Rudolf 1948- Niederreiter, Harald 1944- Introduction to finite fields and their applications Corps finis 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_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_old | Lidl, Rudolf Finite fields |
| title_short | Introduction to finite fields and their applications |
| title_sort | introduction to finite fields and their applications |
| topic | Corps finis Finite fields (Algebra) Galois-Feld (DE-588)4155896-0 gnd |
| topic_facet | Corps finis Finite fields (Algebra) Galois-Feld |
| work_keys_str_mv | AT lidlrudolf introductiontofinitefieldsandtheirapplications AT niederreiterharald introductiontofinitefieldsandtheirapplications |