{"created":"2025-05-08T00:07:25.770457+00:00","id":2002381,"links":{},"metadata":{"_buckets":{"deposit":"b57f419e-93bc-4f7e-b03a-354d9fd4300b"},"_deposit":{"created_by":93,"id":"2002381","owner":"93","owners":[93],"pid":{"revision_id":0,"type":"depid","value":"2002381"},"status":"published"},"_oai":{"id":"oai:bunkyo.repo.nii.ac.jp:02002381","sets":["1:26:1742546221333"]},"author_link":["10105"],"control_number":"2002381","item_30002_bibliographic_information29":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2025-01-31","bibliographicIssueDateType":"Issued"},"bibliographicNumberOfPages":"5","bibliographicPageEnd":"5","bibliographicPageStart":"1","bibliographicVolumeNumber":"70","bibliographic_titles":[{"bibliographic_title":"情報研究","bibliographic_titleLang":"ja"},{"bibliographic_title":"Information and Communication Studies","bibliographic_titleLang":"en"}]}]},"item_30002_creator2":{"attribute_name":"作成者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"文教大学","affiliationNameLang":"ja"},{"affiliationName":"Bunkyo University","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"青木, 和麻呂","creatorNameLang":"ja"},{"creatorName":"アオキ, カズマロ","creatorNameLang":"ja-Kana"},{"creatorName":"Aoki, Kazumaro","creatorNameLang":"en"}],"familyNames":[{"familyName":"青木","familyNameLang":"ja"},{"familyName":"アオキ","familyNameLang":"ja-Kana"},{"familyName":"Aoki","familyNameLang":"en"}],"givenNames":[{"givenName":"和麻呂","givenNameLang":"ja"},{"givenName":"カズマロ","givenNameLang":"ja-Kana"},{"givenName":"Kazumaro","givenNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"10105","nameIdentifierScheme":"WEKO"}]}]},"item_30002_description9":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"符号や暗号の分野では標数2 の有限体がもちいられる。標数2 の有限体を構成するには、ビットに対応するF2 から既約多項式を用いて拡大体を構成する手法が用いられることが多い。どのように既約多項式を見つけるかについては、色々な手法が提案されているが、決定的な手法はなかった。本稿では、拡大次数が2t の場合、すなわち塔体(tower field) と呼ばれる拡大体について、F2 から2次拡大を繰返し、決定的にF22t を構成する手法を提案する。また、そのように構成された体の効率的な四則演算も合わせて紹介する。","subitem_description_language":"ja","subitem_description_type":"Abstract"},{"subitem_description":"Finite fields with characteristic 2 are utilized in the area of coding theory and cryptography. A finite field with characteristic 2 is often constructed from F2 which corresponds to a bit using an irreducible polynomial. Many algorithms are proposed to find an irreducible polynomial, but no deterministic algorithm is not known. This paper proposes how to construct irreducible polynomials for the extension degree of 2t which is called as tower field, and represents F22t from F2 by repeating an extension of degree 2. Moreover, this paper introduces efficient arithmetics for the field.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_30002_file35":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2025-05-08"}],"filename":"BSKJ700002.pdf","filesize":[{"value":"204 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"url":"https://bunkyo.repo.nii.ac.jp/record/2002381/files/BSKJ700002.pdf"},"version_id":"923f21a4-9f48-41c2-bffd-a4eacd444326"}]},"item_30002_identifier_registration17":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15034/0002002381","subitem_identifier_reg_type":"JaLC"}]},"item_30002_language12":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_30002_publisher10":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"文教大学","subitem_publisher_language":"ja"},{"subitem_publisher":"Bunkyo University","subitem_publisher_language":"en"}]},"item_30002_resource_type13":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_30002_source_identifier22":{"attribute_name":"収録物識別子","attribute_value_mlt":[{"subitem_source_identifier":"03893367","subitem_source_identifier_type":"PISSN"},{"subitem_source_identifier":"AN00116589","subitem_source_identifier_type":"NCID"}]},"item_30002_subject8":{"attribute_name":"主題","attribute_value_mlt":[{"subitem_subject":"有限体","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"標数2","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"塔体","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"既約多項式","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"正規基底","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"カラツバ乗算","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"finite field","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"characteristic 2","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"tower field","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"irreducible polynomial","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"normal basis","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Karatsuba multiplication","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_30002_title0":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"標数2 の有限塔体の構成と計算法について","subitem_title_language":"ja"},{"subitem_title":"On a Construction and Computation of the Finite Tower Field with Characteristic 2","subitem_title_language":"en"}]},"item_30002_version_type15":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_title":"標数2 の有限塔体の構成と計算法について","item_type_id":"40001","owner":"93","path":["1742546221333"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2025-05-08"},"publish_date":"2025-05-08","publish_status":"0","recid":"2002381","relation_version_is_last":true,"title":["標数2 の有限塔体の構成と計算法について"],"weko_creator_id":"93","weko_shared_id":-1},"updated":"2025-09-15T08:05:22.460304+00:00"}