Designs and their codes:
Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications together with a thorough general introduction to both design theory and coding theory - developing the relationship between the two ar...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1992
|
| Schriftenreihe: | Cambridge tracts in mathematics
103 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications together with a thorough general introduction to both design theory and coding theory - developing the relationship between the two areas. The first half of the book contains background material in design theory, including symmetric designs and designs from affine and projective geometry, and in coding theory, coverage of most of the important classes of linear codes. In particular, the authors provide a new treatment of the Reed-Muller and generalized Reed-Muller codes. The last three chapters treat the applications of coding theory to some important classes of designs, namely finite planes, Hadamard designs and Steiner systems, in particular the Witt systems. The book is aimed at mathematicians working in either coding theory or combinatorics - or related areas of algebra. The book is, however, designed to be used by non-specialists and can be used by those graduate students or computer scientists who may be working in these areas |
| Beschreibung: | 1 Online-Ressource (x, 352 Seiten) |
| ISBN: | 9781316529836 |
| DOI: | 10.1017/CBO9781316529836 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043940828 | ||
| 003 | DE-604 | ||
| 005 | 20190313 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s1992 |||| o||u| ||||||eng d | ||
| 020 | |a 9781316529836 |c Online |9 978-1-316-52983-6 | ||
| 024 | 7 | |a 10.1017/CBO9781316529836 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781316529836 | ||
| 035 | |a (OCoLC)967759606 | ||
| 035 | |a (DE-599)BVBBV043940828 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-355 | ||
| 082 | 0 | |a 511/.6 |2 20 | |
| 084 | |a SK 880 |0 (DE-625)143266: |2 rvk | ||
| 084 | |a SK 170 |0 (DE-625)143221: |2 rvk | ||
| 100 | 1 | |a Assmus, E. F. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Designs and their codes |c E.F. Assmus, Jr., J.D. Key |
| 246 | 1 | 3 | |a Designs & their Codes |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1992 | |
| 300 | |a 1 Online-Ressource (x, 352 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Cambridge tracts in mathematics |v 103 | |
| 520 | |a Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications together with a thorough general introduction to both design theory and coding theory - developing the relationship between the two areas. The first half of the book contains background material in design theory, including symmetric designs and designs from affine and projective geometry, and in coding theory, coverage of most of the important classes of linear codes. In particular, the authors provide a new treatment of the Reed-Muller and generalized Reed-Muller codes. The last three chapters treat the applications of coding theory to some important classes of designs, namely finite planes, Hadamard designs and Steiner systems, in particular the Witt systems. The book is aimed at mathematicians working in either coding theory or combinatorics - or related areas of algebra. The book is, however, designed to be used by non-specialists and can be used by those graduate students or computer scientists who may be working in these areas | ||
| 650 | 4 | |a Combinatorial designs and configurations | |
| 650 | 4 | |a Coding theory | |
| 650 | 0 | 7 | |a Kombinatorische Designtheorie |0 (DE-588)4164747-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Codierungstheorie |0 (DE-588)4139405-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Blockplan |0 (DE-588)4146038-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Codierung |0 (DE-588)4141834-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Code |0 (DE-588)4010345-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Entwurf |0 (DE-588)4121208-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Entwurf |0 (DE-588)4121208-3 |D s |
| 689 | 0 | 1 | |a Code |0 (DE-588)4010345-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Algebraische Codierung |0 (DE-588)4141834-7 |D s |
| 689 | 1 | 1 | |a Blockplan |0 (DE-588)4146038-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Codierungstheorie |0 (DE-588)4139405-7 |D s |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Codierungstheorie |0 (DE-588)4139405-7 |D s |
| 689 | 3 | 1 | |a Kombinatorische Designtheorie |0 (DE-588)4164747-6 |D s |
| 689 | 3 | |5 DE-604 | |
| 700 | 1 | |a Key, J. D. |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-521-41361-9 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-521-45839-9 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9781316529836 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029349798 | ||
| 966 | e | |u https://doi.org/10.1017/CBO9781316529836 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781316529836 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781316529836 |l UBR01 |p ZDB-20-CBO |q UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176881805688832 |
|---|---|
| any_adam_object | |
| author | Assmus, E. F. |
| author_facet | Assmus, E. F. |
| author_role | aut |
| author_sort | Assmus, E. F. |
| author_variant | e f a ef efa |
| building | Verbundindex |
| bvnumber | BV043940828 |
| classification_rvk | SK 880 SK 170 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781316529836 (OCoLC)967759606 (DE-599)BVBBV043940828 |
| dewey-full | 511/.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.6 |
| dewey-search | 511/.6 |
| dewey-sort | 3511 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316529836 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03817nmm a2200673zcb4500</leader><controlfield tag="001">BV043940828</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190313 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s1992 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781316529836</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-316-52983-6</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9781316529836</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781316529836</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)967759606</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043940828</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-355</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511/.6</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 880</subfield><subfield code="0">(DE-625)143266:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 170</subfield><subfield code="0">(DE-625)143221:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Assmus, E. F.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Designs and their codes</subfield><subfield code="c">E.F. Assmus, Jr., J.D. Key</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Designs & their Codes</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (x, 352 Seiten)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Cambridge tracts in mathematics</subfield><subfield code="v">103</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications together with a thorough general introduction to both design theory and coding theory - developing the relationship between the two areas. The first half of the book contains background material in design theory, including symmetric designs and designs from affine and projective geometry, and in coding theory, coverage of most of the important classes of linear codes. In particular, the authors provide a new treatment of the Reed-Muller and generalized Reed-Muller codes. The last three chapters treat the applications of coding theory to some important classes of designs, namely finite planes, Hadamard designs and Steiner systems, in particular the Witt systems. The book is aimed at mathematicians working in either coding theory or combinatorics - or related areas of algebra. The book is, however, designed to be used by non-specialists and can be used by those graduate students or computer scientists who may be working in these areas</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorial designs and configurations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Coding theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kombinatorische Designtheorie</subfield><subfield code="0">(DE-588)4164747-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Codierungstheorie</subfield><subfield code="0">(DE-588)4139405-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Blockplan</subfield><subfield code="0">(DE-588)4146038-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Codierung</subfield><subfield code="0">(DE-588)4141834-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Code</subfield><subfield code="0">(DE-588)4010345-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Entwurf</subfield><subfield code="0">(DE-588)4121208-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Entwurf</subfield><subfield code="0">(DE-588)4121208-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Code</subfield><subfield code="0">(DE-588)4010345-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Algebraische Codierung</subfield><subfield code="0">(DE-588)4141834-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Blockplan</subfield><subfield code="0">(DE-588)4146038-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Codierungstheorie</subfield><subfield code="0">(DE-588)4139405-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Codierungstheorie</subfield><subfield code="0">(DE-588)4139405-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2="1"><subfield code="a">Kombinatorische Designtheorie</subfield><subfield code="0">(DE-588)4164747-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Key, J. D.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-0-521-41361-9</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-0-521-45839-9</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9781316529836</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029349798</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781316529836</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781316529836</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781316529836</subfield><subfield code="l">UBR01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBR Einzelkauf (Lückenergänzung CUP Serien 2018)</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043940828 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9781316529836 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349798 |
| oclc_num | 967759606 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (x, 352 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Assmus, E. F. Verfasser aut Designs and their codes E.F. Assmus, Jr., J.D. Key Designs & their Codes Cambridge Cambridge University Press 1992 1 Online-Ressource (x, 352 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 103 Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications together with a thorough general introduction to both design theory and coding theory - developing the relationship between the two areas. The first half of the book contains background material in design theory, including symmetric designs and designs from affine and projective geometry, and in coding theory, coverage of most of the important classes of linear codes. In particular, the authors provide a new treatment of the Reed-Muller and generalized Reed-Muller codes. The last three chapters treat the applications of coding theory to some important classes of designs, namely finite planes, Hadamard designs and Steiner systems, in particular the Witt systems. The book is aimed at mathematicians working in either coding theory or combinatorics - or related areas of algebra. The book is, however, designed to be used by non-specialists and can be used by those graduate students or computer scientists who may be working in these areas Combinatorial designs and configurations Coding theory Kombinatorische Designtheorie (DE-588)4164747-6 gnd rswk-swf Codierungstheorie (DE-588)4139405-7 gnd rswk-swf Blockplan (DE-588)4146038-8 gnd rswk-swf Algebraische Codierung (DE-588)4141834-7 gnd rswk-swf Code (DE-588)4010345-6 gnd rswk-swf Entwurf (DE-588)4121208-3 gnd rswk-swf Entwurf (DE-588)4121208-3 s Code (DE-588)4010345-6 s DE-604 Algebraische Codierung (DE-588)4141834-7 s Blockplan (DE-588)4146038-8 s Codierungstheorie (DE-588)4139405-7 s Kombinatorische Designtheorie (DE-588)4164747-6 s Key, J. D. Sonstige oth Erscheint auch als Druck-Ausgabe 978-0-521-41361-9 Erscheint auch als Druck-Ausgabe 978-0-521-45839-9 https://doi.org/10.1017/CBO9781316529836 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Assmus, E. F. Designs and their codes Combinatorial designs and configurations Coding theory Kombinatorische Designtheorie (DE-588)4164747-6 gnd Codierungstheorie (DE-588)4139405-7 gnd Blockplan (DE-588)4146038-8 gnd Algebraische Codierung (DE-588)4141834-7 gnd Code (DE-588)4010345-6 gnd Entwurf (DE-588)4121208-3 gnd |
| subject_GND | (DE-588)4164747-6 (DE-588)4139405-7 (DE-588)4146038-8 (DE-588)4141834-7 (DE-588)4010345-6 (DE-588)4121208-3 |
| title | Designs and their codes |
| title_alt | Designs & their Codes |
| title_auth | Designs and their codes |
| title_exact_search | Designs and their codes |
| title_full | Designs and their codes E.F. Assmus, Jr., J.D. Key |
| title_fullStr | Designs and their codes E.F. Assmus, Jr., J.D. Key |
| title_full_unstemmed | Designs and their codes E.F. Assmus, Jr., J.D. Key |
| title_short | Designs and their codes |
| title_sort | designs and their codes |
| topic | Combinatorial designs and configurations Coding theory Kombinatorische Designtheorie (DE-588)4164747-6 gnd Codierungstheorie (DE-588)4139405-7 gnd Blockplan (DE-588)4146038-8 gnd Algebraische Codierung (DE-588)4141834-7 gnd Code (DE-588)4010345-6 gnd Entwurf (DE-588)4121208-3 gnd |
| topic_facet | Combinatorial designs and configurations Coding theory Kombinatorische Designtheorie Codierungstheorie Blockplan Algebraische Codierung Code Entwurf |
| url | https://doi.org/10.1017/CBO9781316529836 |
| work_keys_str_mv | AT assmusef designsandtheircodes AT keyjd designsandtheircodes AT assmusef designstheircodes AT keyjd designstheircodes |