{"created":"2021-03-01T06:19:35.223557+00:00","id":12617,"links":{},"metadata":{"_buckets":{"deposit":"620e8593-7489-41c7-ba9f-1e8b8a41c2ab"},"_deposit":{"id":"12617","owners":[],"pid":{"revision_id":0,"type":"depid","value":"12617"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00012617","sets":["312:313:314"]},"author_link":["39688"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2010-07","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"7","bibliographicPageEnd":"3620","bibliographicPageStart":"3613","bibliographicVolumeNumber":"56","bibliographic_titles":[{"bibliographic_title":"IEEE Transactions on Information Theory","bibliographic_titleLang":"en"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"An optical orthogonal signature pattern code (OOSPC) finds application in transmitting 2-D images through multicore fiber in code-division multiple-access (CDMA) communication systems. Observing a one-to-one correspondence between an OOSPC and a certain combinatorial subject, called a packing design, we present a construction of optimal OOSPCs with weight 4 and maximum collision parameter 2, which generalizes a well-known Köhler construction of optimal optical orthogonal codes (OOC) with weight 4 and maximum collision parameter 2. Using this new construction enables one to obtain infinitely many optimal OOSPCs, whose existence was previously unknown. We prove that for a multiple n of 4, there exists no optimal OOSPC of size 6 n with weight 4 and maximum collision parameter 2, together with a report which shows a gap between optimal OOCs and optimal OOSPCs when 6 and n are not coprime. We also present a recursive construction of OOSPCs which are asymptotically optimal with respect to the Johnson bound. As a by-product, we obtain an asymptotically optimal (m, n, 4, 2)-OOSPC for all positive integers m and n.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10_identifier_60":{"attribute_name":"URI","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/2237/14501"},{"subitem_identifier_type":"DOI","subitem_identifier_uri":"http://dx.doi.org/10.1109/TIT.2010.2048487"}]},"item_10_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"IEEE","subitem_publisher_language":"en"}]},"item_10_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1109/TIT.2010.2048487","subitem_relation_type_select":"DOI"}}]},"item_10_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"©2010 IEEE.  Reprinted, with permission, from Sawa, M.; , \"Optical Orthogonal Signature Pattern Codes With Maximum Collision Parameter 2 and Weight 4 ,\" Information Theory, IEEE Transactions on , vol.56, no.7, pp.3613-3620, July 2010","subitem_rights_language":"en"}]},"item_10_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_10_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0018-9448","subitem_source_identifier_type":"PISSN"}]},"item_1615787544753":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Sawa, Masanori","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"39688","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-02-20"}],"displaytype":"detail","filename":"sawa_nagoya-repos.pdf","filesize":[{"value":"167.1 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"sawa_nagoya-repos.pdf","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/12617/files/sawa_nagoya-repos.pdf"},"version_id":"10af1d2d-dced-40e5-b38b-636845c349db"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Automorphism group","subitem_subject_scheme":"Other"},{"subitem_subject":"H-design","subitem_subject_scheme":"Other"},{"subitem_subject":"packing design","subitem_subject_scheme":"Other"},{"subitem_subject":"optical orthogonal code","subitem_subject_scheme":"Other"},{"subitem_subject":"optical orthogonal signature pattern code","subitem_subject_scheme":"Other"},{"subitem_subject":"space code division multiple access","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":"Optical Orthogonal Signature Pattern Codes with Maximum Collision Parameter 2 and Weight 4","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Optical Orthogonal Signature Pattern Codes with Maximum Collision Parameter 2 and Weight 4","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["314"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2011-03-02"},"publish_date":"2011-03-02","publish_status":"0","recid":"12617","relation_version_is_last":true,"title":["Optical Orthogonal Signature Pattern Codes with Maximum Collision Parameter 2 and Weight 4"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T03:59:21.718030+00:00"}