{"created":"2023-06-20T14:26:11.795965+00:00","id":7370,"links":{},"metadata":{"_buckets":{"deposit":"92b7fa35-2990-4e04-8017-11cec7e9ea7f"},"_deposit":{"created_by":3,"id":"7370","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"7370"},"status":"published"},"_oai":{"id":"oai:aue.repo.nii.ac.jp:00007370","sets":["724:726"]},"author_link":["148","118"],"item_4_biblio_info_7":{"attribute_name":"書誌事項","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2018-09","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"317","bibliographicPageStart":"294","bibliographicVolumeNumber":"60","bibliographic_titles":[{"bibliographic_title":"Discrete & Computational Geometry"}]}]},"item_4_description_27":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"text","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let X be a  nite set in a complex sphere of d dimension. Let D(X) be the set of usual inner products of two distinct vectors in X. A set X is called a complex spherical s-code if the cardinality of D(X) is s and D(X) contains an imaginary number. We would like to classify the largest possible s-codes for given dimension d. In this paper, we consider the problem for the case s = 3. Roy and Suda (2014) gave a certain upper bound for the cardinalities of 3-codes. A 3-code X is said to be tight if X attains the bound. We show that there exists no tight 3-code except for dimensions 1, 2. Moreover we make an algorithm to classify the largest 3-codes by considering representations of oriented graphs. By this algorithm, the largest 3-codes are classi ed for dimensions 1, 2, 3 with a current computer.","subitem_description_type":"Abstract"}]},"item_4_link_3":{"attribute_name":"研究者総覧へのリンク","attribute_value_mlt":[{"subitem_link_text":"野﨑, 寛","subitem_link_url":"https://souran.aichi-edu.ac.jp/teachers/0c22fe803199abfd.html"}]},"item_4_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Springer US"}]},"item_4_relation_16":{"attribute_name":"関係URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://doi.org/10.1007/s00454-018-0017-x"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1007/s00454-018-0017-x","subitem_relation_type_select":"DOI"}}]},"item_4_relation_18":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"info:doi/10.1007/s00454-018-0017-x","subitem_relation_type_select":"DOI"}}]},"item_4_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"This is the author-created version of Springer, Nozaki, Hiroshi. and Suda, Sho, Discrete ＆ Computational Geometry, 60(2), 2018, 294-317.The original publication is available at www.springerlink.com, https://doi.org/10.1007/s00454-018-0017-x"}]},"item_4_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0179-5376","subitem_source_identifier_type":"ISSN"}]},"item_4_text_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"subitem_text_value":"Discrete ＆ Computational Geometry. 2018, 60(2), 294–317."}]},"item_4_text_26":{"attribute_name":"著者別名","attribute_value_mlt":[{"subitem_text_value":"ノザキ, ヒロシ"},{"subitem_text_value":"スダ, ショウ"}]},"item_4_text_4":{"attribute_name":"著者(別言語)","attribute_value_mlt":[{"subitem_text_value":"野﨑, 寛"},{"subitem_text_value":"須田, 庄"}]},"item_4_version_type_14":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Nozaki, Hiroshi"}],"nameIdentifiers":[{},{},{}]},{"creatorNames":[{"creatorName":"Suda, Sho"}],"nameIdentifiers":[{},{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2019-10-11"}],"displaytype":"detail","filename":"nozakih003.pdf","filesize":[{"value":"173.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"nozakih003.pdf","url":"https://aue.repo.nii.ac.jp/record/7370/files/nozakih003.pdf"},"version_id":"f75f6fd8-4982-47c6-8f35-f9810470b43e"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"complex spherical s-code","subitem_subject_scheme":"Other"},{"subitem_subject":"s-distance set","subitem_subject_scheme":"Other"},{"subitem_subject":"tight design","subitem_subject_scheme":"Other"},{"subitem_subject":"extremal set theory","subitem_subject_scheme":"Other"},{"subitem_subject":"graph representation","subitem_subject_scheme":"Other"},{"subitem_subject":"association scheme","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Complex spherical codes with three inner products","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Complex spherical codes with three inner products","subitem_title_language":"en"}]},"item_type_id":"4","owner":"3","path":["726"],"pubdate":{"attribute_name":"公開日","attribute_value":"2019-10-11"},"publish_date":"2019-10-11","publish_status":"0","recid":"7370","relation_version_is_last":true,"title":["Complex spherical codes with three inner products"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T15:57:05.997908+00:00"}