An Isogeny-based Dealer-Less Threshold Signature Scheme

• Item type: SIG Technical Reports(1)
• 公開日: 2022-03-03
• タイトル: An Isogeny-based Dealer-Less Threshold Signature Scheme
• タイトル / 言語: en
• タイトル: An Isogeny-based Dealer-Less Threshold Signature Scheme
• 言語: eng
• キーワード / 主題Scheme: Other
• キーワード / 主題: 暗号
• 資源タイプ / 資源タイプ識別子: http://purl.org/coar/resource_type/c_18gh
• 資源タイプ: technical report
• 著者所属: Osaka University
• 著者所属: Osaka University／Japan Advanced Institute of Science and Technology
• 著者所属(英): en
• 著者所属(英): Osaka University
• 著者所属(英): en
• 著者所属(英): Osaka University / Japan Advanced Institute of Science and Technology
• 著者名: Yusen, Wang; Atsuko, Miyaji
• 著者名(英): Yusen, Wang; Atsuko, Miyaji
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: A threshold HHS [9] (Hard Homogeneous Spaces) signature scheme had been proposed by Luca De Feo et al [2]. Generally, CSI-FiSh [4] and its ancestors [1][8] can be adapted into this threshold scheme. In this work, we mainly focus on the basic version of CSI-FiSh proposed by Stolbunov [8]. In the isogeny-based threshold signature scheme sketched by Luca De Feo et al, a dealer is necessary in order to split the secret key into shares and to securely distribute them to all participants. However, in certain conditions, a trusted dealer which is a trusted third party is not permitted or does not exist. Therefore we proposed a dealer-less version based on the threshold scheme of Luca De Feo et al. We use Joint Random-Secret Sharing to let all participants exchange information with each other and thus can collaborate to generate a secret isogeny that is not revealed to any participants. In this work, we clarify some fundamental theories such as Hard Homogeneous Spaces, Joint Random-Secret Sharing, and Shamir's Secret Sharing. After that, we briefly take a review of the threshold HHS signature scheme proposed by Luca De Feo et al. We give the whole process of our dealer-less threshold scheme and then illustrate the comparison with the original one with a dealer. We believe that our dealer-less version has a wider range of applications.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: A threshold HHS [9] (Hard Homogeneous Spaces) signature scheme had been proposed by Luca De Feo et al [2]. Generally, CSI-FiSh [4] and its ancestors [1][8] can be adapted into this threshold scheme. In this work, we mainly focus on the basic version of CSI-FiSh proposed by Stolbunov [8]. In the isogeny-based threshold signature scheme sketched by Luca De Feo et al, a dealer is necessary in order to split the secret key into shares and to securely distribute them to all participants. However, in certain conditions, a trusted dealer which is a trusted third party is not permitted or does not exist. Therefore we proposed a dealer-less version based on the threshold scheme of Luca De Feo et al. We use Joint Random-Secret Sharing to let all participants exchange information with each other and thus can collaborate to generate a secret isogeny that is not revealed to any participants. In this work, we clarify some fundamental theories such as Hard Homogeneous Spaces, Joint Random-Secret Sharing, and Shamir's Secret Sharing. After that, we briefly take a review of the threshold HHS signature scheme proposed by Luca De Feo et al. We give the whole process of our dealer-less threshold scheme and then illustrate the comparison with the original one with a dealer. We believe that our dealer-less version has a wider range of applications.
• 書誌レコードID / 収録物識別子タイプ: NCID
• 書誌レコードID / 収録物識別子: AN10116224
• 書誌情報: 研究報告マルチメディア通信と分散処理（DPS）; 巻 2022-DPS-190, 号 23, p. 1-6, 発行日 2022-03-03
• ISSN / 収録物識別子タイプ: ISSN
• ISSN / 収録物識別子: 2188-8906
• Notice: SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc.
• 出版者 / 言語: ja
• 出版者: 情報処理学会