{"links":{},"id":233351,"metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00233351","sets":["1164:2836:11471:11524"]},"path":["11524"],"owner":"44499","recid":"233351","title":["Kannanの埋め込み法の拡張に対する解析"],"pubdate":{"attribute_name":"公開日","attribute_value":"2024-03-11"},"_buckets":{"deposit":"b96ca6ee-0e2c-4d51-aae0-29a6b8952ecf"},"_deposit":{"id":"233351","pid":{"type":"depid","value":"233351","revision_id":0},"owners":[44499],"status":"published","created_by":44499},"item_title":"Kannanの埋め込み法の拡張に対する解析","author_link":["633635","633634","633633"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Kannanの埋め込み法の拡張に対する解析"},{"subitem_title":"Analysis of an Extension of Kannan's Embedding","subitem_title_language":"en"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"暗号2","subitem_subject_scheme":"Other"}]},"item_type_id":"4","publish_date":"2024-03-11","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"大阪大学"},{"subitem_text_value":"大阪大学"},{"subitem_text_value":"大阪大学"}]},"item_4_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Osaka University","subitem_text_language":"en"},{"subitem_text_value":"Osaka University","subitem_text_language":"en"},{"subitem_text_value":"Osaka University","subitem_text_language":"en"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_publisher":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"情報処理学会","subitem_publisher_language":"ja"}]},"publish_status":"0","weko_shared_id":-1,"item_file_price":{"attribute_name":"Billing file","attribute_type":"file","attribute_value_mlt":[{"url":{"url":"https://ipsj.ixsq.nii.ac.jp/record/233351/files/IPSJ-DPS24198067.pdf","label":"IPSJ-DPS24198067.pdf"},"date":[{"dateType":"Available","dateValue":"2026-03-11"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-DPS24198067.pdf","filesize":[{"value":"986.5 kB"}],"mimetype":"application/pdf","priceinfo":[{"tax":["include_tax"],"price":"660","billingrole":"5"},{"tax":["include_tax"],"price":"330","billingrole":"6"},{"tax":["include_tax"],"price":"0","billingrole":"34"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"1f2cce17-e951-434e-b20f-6f6146792275","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2024 by the Information Processing Society of Japan"}]},"item_4_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"上杉, 慧至"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"奥村, 伸也"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"宮地, 充子"}],"nameIdentifiers":[{}]}]},"item_4_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10116224","subitem_source_identifier_type":"NCID"}]},"item_4_textarea_12":{"attribute_name":"Notice","attribute_value_mlt":[{"subitem_textarea_value":"SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc."}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_18gh","resourcetype":"technical report"}]},"item_4_source_id_11":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2188-8906","subitem_source_identifier_type":"ISSN"}]},"item_4_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"Ring-Learning with Errors（Ring-LWE）問題を構成する代数体は従来，2 冪の円分体が使用されており，様々な攻撃手法が提案された．特に Kannan の埋め込み法は Ring-LWE 問題だけに限らず，他の格子暗号に対しても適用可能な攻撃手法であり，2 冪の円分体に対して拡張された手法が提案された．しかし，Kannan の埋め込み法の拡張は 2 冪の円分体上の Ring-LWE 問題のみ適用されており他の代数体上の Ring-LWE 問題に関しては適用されていない．本研究では，Kannan の埋め込み法の拡張を 2 冪の円分体以外の円分体及び 2 冪の円分体の最大実部分体に対して適用を可能にすることで，Kannan の埋め込み法の拡張の有効性について検証する．","subitem_description_type":"Other"}]},"item_4_description_8":{"attribute_name":"論文抄録(英)","attribute_value_mlt":[{"subitem_description":"The number field that constitutes the Ring-Learning with Errors (Ring-LWE) problem has traditionally employed 2-power cyclotomic fields, and various attack methods have been proposed. In particular, Kannan's embedding is applicable to not only the Ring-LWE problem but also to other lattice-based cryptosystems, and its extension has been proposed for 2-power cyclotomic fields. However, the extension was applied to only the Ring-LWE problem over 2-power cyclotomic field and is not applied to Ring-LWE problems over other number fields. In this work, we conduct a security analysis of the Ring-LWE problem over cyclotomic fields other than 2-power cyclotomic number field and over the maximal real subfields of 2-power cyclotomic field by the extension of Kannan's embedding. And also we verify the effectiveness of the extension of Kannan's embedding.","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"8","bibliographic_titles":[{"bibliographic_title":"研究報告マルチメディア通信と分散処理（DPS）"}],"bibliographicPageStart":"1","bibliographicIssueDates":{"bibliographicIssueDate":"2024-03-11","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"67","bibliographicVolumeNumber":"2024-DPS-198"}]},"relation_version_is_last":true,"weko_creator_id":"44499"},"created":"2025-01-19T01:34:44.467511+00:00","updated":"2025-01-19T10:07:29.549226+00:00"}