On the classification of the tight spherical designs
We find the distance distributions (of a spherical code) with respect to every point for the tight spherical 4-, 5-, and 7-designs. As an immediate corollary we prove the nonexistence of an infinite class of tight spherical 4-designs. This implies the nonexistence of a corresponding infinite class o...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Tagungsbericht |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | |
---|---|
container_issue | |
container_start_page | 105 |
container_title | |
container_volume | |
creator | Boyvalenkov, P.G. |
description | We find the distance distributions (of a spherical code) with respect to every point for the tight spherical 4-, 5-, and 7-designs. As an immediate corollary we prove the nonexistence of an infinite class of tight spherical 4-designs. This implies the nonexistence of a corresponding infinite class of tight spherical 5-designs.< > |
doi_str_mv | 10.1109/ISIT.1994.394882 |
format | Conference Proceeding |
fullrecord | <record><control><sourceid>ieee_6IE</sourceid><recordid>TN_cdi_ieee_primary_394882</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>394882</ieee_id><sourcerecordid>394882</sourcerecordid><originalsourceid>FETCH-LOGICAL-i89t-3ebbc7ebf92db89c6142326abfcc392b4a2831e0bc9674e114eb75a0b818be893</originalsourceid><addsrcrecordid>eNotj8tqwzAURAWl0DbNPnSlH7CrK8mW7rKEPgyBLOJ9kJSrWMF1gqVN_76h6WwGzsCBYWwFogYQ-Nrtur4GRF0r1NbKO_YkjBVKCmjsA1vmfBLXaN0oIx6Z3k68DMTD6HJOMQVX0nni5_hHSzoOhefLQPN1GfmBcjpO-ZndRzdmWv73gvUf7_36q9psP7v126ZKFkulyPtgyEeUB28xtKClkq3zMQSF0msnrQISPmBrNAFo8qZxwluwniyqBXu5aRMR7S9z-nbzz_52S_0ChPRDIA</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype></control><display><type>conference_proceeding</type><title>On the classification of the tight spherical designs</title><source>IEEE Electronic Library (IEL) Conference Proceedings</source><creator>Boyvalenkov, P.G.</creator><creatorcontrib>Boyvalenkov, P.G.</creatorcontrib><description>We find the distance distributions (of a spherical code) with respect to every point for the tight spherical 4-, 5-, and 7-designs. As an immediate corollary we prove the nonexistence of an infinite class of tight spherical 4-designs. This implies the nonexistence of a corresponding infinite class of tight spherical 5-designs.< ></description><identifier>ISBN: 0780320158</identifier><identifier>ISBN: 9780780320154</identifier><identifier>DOI: 10.1109/ISIT.1994.394882</identifier><language>eng</language><publisher>IEEE</publisher><subject>Contracts ; Distributed computing ; Equations ; Mathematics</subject><ispartof>Proceedings of 1994 IEEE International Symposium on Information Theory, 1994, p.105</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/394882$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,776,780,785,786,2052,4036,4037,27902,54895</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/394882$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Boyvalenkov, P.G.</creatorcontrib><title>On the classification of the tight spherical designs</title><title>Proceedings of 1994 IEEE International Symposium on Information Theory</title><addtitle>ISIT</addtitle><description>We find the distance distributions (of a spherical code) with respect to every point for the tight spherical 4-, 5-, and 7-designs. As an immediate corollary we prove the nonexistence of an infinite class of tight spherical 4-designs. This implies the nonexistence of a corresponding infinite class of tight spherical 5-designs.< ></description><subject>Contracts</subject><subject>Distributed computing</subject><subject>Equations</subject><subject>Mathematics</subject><isbn>0780320158</isbn><isbn>9780780320154</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>1994</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotj8tqwzAURAWl0DbNPnSlH7CrK8mW7rKEPgyBLOJ9kJSrWMF1gqVN_76h6WwGzsCBYWwFogYQ-Nrtur4GRF0r1NbKO_YkjBVKCmjsA1vmfBLXaN0oIx6Z3k68DMTD6HJOMQVX0nni5_hHSzoOhefLQPN1GfmBcjpO-ZndRzdmWv73gvUf7_36q9psP7v126ZKFkulyPtgyEeUB28xtKClkq3zMQSF0msnrQISPmBrNAFo8qZxwluwniyqBXu5aRMR7S9z-nbzz_52S_0ChPRDIA</recordid><startdate>1994</startdate><enddate>1994</enddate><creator>Boyvalenkov, P.G.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>1994</creationdate><title>On the classification of the tight spherical designs</title><author>Boyvalenkov, P.G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i89t-3ebbc7ebf92db89c6142326abfcc392b4a2831e0bc9674e114eb75a0b818be893</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>1994</creationdate><topic>Contracts</topic><topic>Distributed computing</topic><topic>Equations</topic><topic>Mathematics</topic><toplevel>online_resources</toplevel><creatorcontrib>Boyvalenkov, P.G.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Boyvalenkov, P.G.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>On the classification of the tight spherical designs</atitle><btitle>Proceedings of 1994 IEEE International Symposium on Information Theory</btitle><stitle>ISIT</stitle><date>1994</date><risdate>1994</risdate><spage>105</spage><pages>105-</pages><isbn>0780320158</isbn><isbn>9780780320154</isbn><abstract>We find the distance distributions (of a spherical code) with respect to every point for the tight spherical 4-, 5-, and 7-designs. As an immediate corollary we prove the nonexistence of an infinite class of tight spherical 4-designs. This implies the nonexistence of a corresponding infinite class of tight spherical 5-designs.< ></abstract><pub>IEEE</pub><doi>10.1109/ISIT.1994.394882</doi></addata></record> |
fulltext | fulltext_linktorsrc |
identifier | ISBN: 0780320158 |
ispartof | Proceedings of 1994 IEEE International Symposium on Information Theory, 1994, p.105 |
issn | |
language | eng |
recordid | cdi_ieee_primary_394882 |
source | IEEE Electronic Library (IEL) Conference Proceedings |
subjects | Contracts Distributed computing Equations Mathematics |
title | On the classification of the tight spherical designs |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-31T03%3A35%3A04IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-ieee_6IE&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=On%20the%20classification%20of%20the%20tight%20spherical%20designs&rft.btitle=Proceedings%20of%201994%20IEEE%20International%20Symposium%20on%20Information%20Theory&rft.au=Boyvalenkov,%20P.G.&rft.date=1994&rft.spage=105&rft.pages=105-&rft.isbn=0780320158&rft.isbn_list=9780780320154&rft_id=info:doi/10.1109/ISIT.1994.394882&rft_dat=%3Cieee_6IE%3E394882%3C/ieee_6IE%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_ieee_id=394882&rfr_iscdi=true |