Difference Sets, Sequences and their Correlation Properties:
Saved in:
Main Author: | |
---|---|
Format: | Electronic eBook |
Language: | English |
Published: |
Dordrecht
Springer Netherlands
1999
|
Series: | NATO Science Series, Series C: Mathematical and Physical Sciences
542 |
Subjects: | |
Links: | https://doi.org/10.1007/978-94-011-4459-9 |
Item Description: | The explanation of the formal duality of Kerdock and Preparata codes is one of the outstanding results in the field of applied algebra in the last few years. This result is related to the discovery of large sets of quad riphase sequences over Z4 whose correlation properties are better than those of the best binary sequences. Moreover, the correlation properties of sequences are closely related to difference properties of certain sets in (cyclic) groups. It is the purpose of this book to illustrate the connection between these three topics. Most articles grew out of lectures given at the NATO Ad vanced Study Institute on "Difference sets, sequences and their correlation properties". This workshop took place in Bad Windsheim (Germany) in August 1998. The editors thank the NATO Scientific Affairs Division for the generous support of this workshop. Without this support, the present collection of articles would not have been realized |
Physical Description: | 1 Online-Ressource (VIII, 448 p) |
ISBN: | 9789401144599 9780792359593 |
ISSN: | 1389-2185 |
DOI: | 10.1007/978-94-011-4459-9 |
Staff View
MARC
LEADER | 00000nam a2200000zcb4500 | ||
---|---|---|---|
001 | BV042415992 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 150316s1999 xx o|||| 00||| eng d | ||
020 | |a 9789401144599 |c Online |9 978-94-011-4459-9 | ||
020 | |a 9780792359593 |c Print |9 978-0-7923-5959-3 | ||
024 | 7 | |a 10.1007/978-94-011-4459-9 |2 doi | |
035 | |a (OCoLC)863690397 | ||
035 | |a (DE-599)BVBBV042415992 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-91 |a DE-83 | ||
082 | 0 | |a 511.6 |2 23 | |
084 | |a PHY 000 |2 stub | ||
100 | 1 | |a Pott, A. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Difference Sets, Sequences and their Correlation Properties |c edited by A. Pott, P. V. Kumar, T. Helleseth, D. Jungnickel |
246 | 1 | 3 | |a Proceedings of the NATO Advanced Study Institute on Difference Sets, Sequence and their Correlation Properties, Bad Winsheim, 2-14 August 1998 |
264 | 1 | |a Dordrecht |b Springer Netherlands |c 1999 | |
300 | |a 1 Online-Ressource (VIII, 448 p) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 0 | |a NATO Science Series, Series C: Mathematical and Physical Sciences |v 542 |x 1389-2185 | |
500 | |a The explanation of the formal duality of Kerdock and Preparata codes is one of the outstanding results in the field of applied algebra in the last few years. This result is related to the discovery of large sets of quad riphase sequences over Z4 whose correlation properties are better than those of the best binary sequences. Moreover, the correlation properties of sequences are closely related to difference properties of certain sets in (cyclic) groups. It is the purpose of this book to illustrate the connection between these three topics. Most articles grew out of lectures given at the NATO Ad vanced Study Institute on "Difference sets, sequences and their correlation properties". This workshop took place in Bad Windsheim (Germany) in August 1998. The editors thank the NATO Scientific Affairs Division for the generous support of this workshop. Without this support, the present collection of articles would not have been realized | ||
650 | 4 | |a Mathematics | |
650 | 4 | |a Computational complexity | |
650 | 4 | |a Field theory (Physics) | |
650 | 4 | |a Combinatorics | |
650 | 4 | |a Computer engineering | |
650 | 4 | |a Electrical Engineering | |
650 | 4 | |a Discrete Mathematics in Computer Science | |
650 | 4 | |a Signal, Image and Speech Processing | |
650 | 4 | |a Field Theory and Polynomials | |
650 | 4 | |a Mathematik | |
650 | 0 | 7 | |a Korrelation |0 (DE-588)4165343-9 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Folge |g Mathematik |0 (DE-588)4017790-7 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Differenzmenge |0 (DE-588)4149809-4 |2 gnd |9 rswk-swf |
655 | 7 | |8 1\p |0 (DE-588)1071861417 |a Konferenzschrift |y 1998 |z Bad Windsheim |2 gnd-content | |
655 | 7 | |8 2\p |0 (DE-588)1071861417 |a Konferenzschrift |y 1998 |z Windsheim |2 gnd-content | |
689 | 0 | 0 | |a Differenzmenge |0 (DE-588)4149809-4 |D s |
689 | 0 | 1 | |a Folge |g Mathematik |0 (DE-588)4017790-7 |D s |
689 | 0 | |8 3\p |5 DE-604 | |
689 | 1 | 0 | |a Differenzmenge |0 (DE-588)4149809-4 |D s |
689 | 1 | 1 | |a Korrelation |0 (DE-588)4165343-9 |D s |
689 | 1 | |8 4\p |5 DE-604 | |
700 | 1 | |a Kumar, P. V. |e Sonstige |4 oth | |
700 | 1 | |a Helleseth, T. |e Sonstige |4 oth | |
700 | 1 | |a Jungnickel, D. |e Sonstige |4 oth | |
856 | 4 | 0 | |u https://doi.org/10.1007/978-94-011-4459-9 |x Verlag |3 Volltext |
912 | |a ZDB-2-PHA | ||
912 | |a ZDB-2-BAE | ||
940 | 1 | |q ZDB-2-PHA_Archive | |
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 4\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027851484 |
Record in the Search Index
DE-BY-TUM_katkey | 2065307 |
---|---|
_version_ | 1821931166849040384 |
any_adam_object | |
author | Pott, A. |
author_facet | Pott, A. |
author_role | aut |
author_sort | Pott, A. |
author_variant | a p ap |
building | Verbundindex |
bvnumber | BV042415992 |
classification_tum | PHY 000 |
collection | ZDB-2-PHA ZDB-2-BAE |
ctrlnum | (OCoLC)863690397 (DE-599)BVBBV042415992 |
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 | 3511.6 |
dewey-tens | 510 - Mathematics |
discipline | Physik Mathematik |
doi_str_mv | 10.1007/978-94-011-4459-9 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03873nam a2200721zcb4500</leader><controlfield tag="001">BV042415992</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150316s1999 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789401144599</subfield><subfield code="c">Online</subfield><subfield code="9">978-94-011-4459-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780792359593</subfield><subfield code="c">Print</subfield><subfield code="9">978-0-7923-5959-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-94-011-4459-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863690397</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042415992</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.6</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">PHY 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Pott, A.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Difference Sets, Sequences and their Correlation Properties</subfield><subfield code="c">edited by A. Pott, P. V. Kumar, T. Helleseth, D. Jungnickel</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Proceedings of the NATO Advanced Study Institute on Difference Sets, Sequence and their Correlation Properties, Bad Winsheim, 2-14 August 1998</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Dordrecht</subfield><subfield code="b">Springer Netherlands</subfield><subfield code="c">1999</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (VIII, 448 p)</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">NATO Science Series, Series C: Mathematical and Physical Sciences</subfield><subfield code="v">542</subfield><subfield code="x">1389-2185</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">The explanation of the formal duality of Kerdock and Preparata codes is one of the outstanding results in the field of applied algebra in the last few years. This result is related to the discovery of large sets of quad riphase sequences over Z4 whose correlation properties are better than those of the best binary sequences. Moreover, the correlation properties of sequences are closely related to difference properties of certain sets in (cyclic) groups. It is the purpose of this book to illustrate the connection between these three topics. Most articles grew out of lectures given at the NATO Ad vanced Study Institute on "Difference sets, sequences and their correlation properties". This workshop took place in Bad Windsheim (Germany) in August 1998. The editors thank the NATO Scientific Affairs Division for the generous support of this workshop. Without this support, the present collection of articles would not have been realized</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computational complexity</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Field theory (Physics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computer engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Electrical Engineering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Discrete Mathematics in Computer Science</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Signal, Image and Speech Processing</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Field Theory and Polynomials</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Korrelation</subfield><subfield code="0">(DE-588)4165343-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Folge</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4017790-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differenzmenge</subfield><subfield code="0">(DE-588)4149809-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)1071861417</subfield><subfield code="a">Konferenzschrift</subfield><subfield code="y">1998</subfield><subfield code="z">Bad Windsheim</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">2\p</subfield><subfield code="0">(DE-588)1071861417</subfield><subfield code="a">Konferenzschrift</subfield><subfield code="y">1998</subfield><subfield code="z">Windsheim</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differenzmenge</subfield><subfield code="0">(DE-588)4149809-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Folge</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4017790-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Differenzmenge</subfield><subfield code="0">(DE-588)4149809-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Korrelation</subfield><subfield code="0">(DE-588)4165343-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">4\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kumar, P. V.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Helleseth, T.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Jungnickel, D.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-94-011-4459-9</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-PHA</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-PHA_Archive</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">4\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027851484</subfield></datafield></record></collection> |
genre | 1\p (DE-588)1071861417 Konferenzschrift 1998 Bad Windsheim gnd-content 2\p (DE-588)1071861417 Konferenzschrift 1998 Windsheim gnd-content |
genre_facet | Konferenzschrift 1998 Bad Windsheim Konferenzschrift 1998 Windsheim |
id | DE-604.BV042415992 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T17:10:34Z |
institution | BVB |
isbn | 9789401144599 9780792359593 |
issn | 1389-2185 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027851484 |
oclc_num | 863690397 |
open_access_boolean | |
owner | DE-91 DE-BY-TUM DE-83 |
owner_facet | DE-91 DE-BY-TUM DE-83 |
physical | 1 Online-Ressource (VIII, 448 p) |
psigel | ZDB-2-PHA ZDB-2-BAE ZDB-2-PHA_Archive |
publishDate | 1999 |
publishDateSearch | 1999 |
publishDateSort | 1999 |
publisher | Springer Netherlands |
record_format | marc |
series2 | NATO Science Series, Series C: Mathematical and Physical Sciences |
spellingShingle | Pott, A. Difference Sets, Sequences and their Correlation Properties Mathematics Computational complexity Field theory (Physics) Combinatorics Computer engineering Electrical Engineering Discrete Mathematics in Computer Science Signal, Image and Speech Processing Field Theory and Polynomials Mathematik Korrelation (DE-588)4165343-9 gnd Folge Mathematik (DE-588)4017790-7 gnd Differenzmenge (DE-588)4149809-4 gnd |
subject_GND | (DE-588)4165343-9 (DE-588)4017790-7 (DE-588)4149809-4 (DE-588)1071861417 |
title | Difference Sets, Sequences and their Correlation Properties |
title_alt | Proceedings of the NATO Advanced Study Institute on Difference Sets, Sequence and their Correlation Properties, Bad Winsheim, 2-14 August 1998 |
title_auth | Difference Sets, Sequences and their Correlation Properties |
title_exact_search | Difference Sets, Sequences and their Correlation Properties |
title_full | Difference Sets, Sequences and their Correlation Properties edited by A. Pott, P. V. Kumar, T. Helleseth, D. Jungnickel |
title_fullStr | Difference Sets, Sequences and their Correlation Properties edited by A. Pott, P. V. Kumar, T. Helleseth, D. Jungnickel |
title_full_unstemmed | Difference Sets, Sequences and their Correlation Properties edited by A. Pott, P. V. Kumar, T. Helleseth, D. Jungnickel |
title_short | Difference Sets, Sequences and their Correlation Properties |
title_sort | difference sets sequences and their correlation properties |
topic | Mathematics Computational complexity Field theory (Physics) Combinatorics Computer engineering Electrical Engineering Discrete Mathematics in Computer Science Signal, Image and Speech Processing Field Theory and Polynomials Mathematik Korrelation (DE-588)4165343-9 gnd Folge Mathematik (DE-588)4017790-7 gnd Differenzmenge (DE-588)4149809-4 gnd |
topic_facet | Mathematics Computational complexity Field theory (Physics) Combinatorics Computer engineering Electrical Engineering Discrete Mathematics in Computer Science Signal, Image and Speech Processing Field Theory and Polynomials Mathematik Korrelation Folge Mathematik Differenzmenge Konferenzschrift 1998 Bad Windsheim Konferenzschrift 1998 Windsheim |
url | https://doi.org/10.1007/978-94-011-4459-9 |
work_keys_str_mv | AT potta differencesetssequencesandtheircorrelationproperties AT kumarpv differencesetssequencesandtheircorrelationproperties AT hellesetht differencesetssequencesandtheircorrelationproperties AT jungnickeld differencesetssequencesandtheircorrelationproperties AT potta proceedingsofthenatoadvancedstudyinstituteondifferencesetssequenceandtheircorrelationpropertiesbadwinsheim214august1998 AT kumarpv proceedingsofthenatoadvancedstudyinstituteondifferencesetssequenceandtheircorrelationpropertiesbadwinsheim214august1998 AT hellesetht proceedingsofthenatoadvancedstudyinstituteondifferencesetssequenceandtheircorrelationpropertiesbadwinsheim214august1998 AT jungnickeld proceedingsofthenatoadvancedstudyinstituteondifferencesetssequenceandtheircorrelationpropertiesbadwinsheim214august1998 |