Short Lattice Signature Scheme with Tighter Reduction under Ring-SIS Assumption
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- KAJITA Kaisei
- Science and Technology Research Laboratories, Japan Broadcasting Corporation
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- OHTAKE Go
- Science and Technology Research Laboratories, Japan Broadcasting Corporation
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- OGAWA Kazuto
- Science and Technology Research Laboratories, Japan Broadcasting Corporation
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- NUIDA Koji
- Kyushu University
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- TAKAGI Tsuyoshi
- The University of Tokyo
抄録
<p>We propose a short signature scheme under the ring-SIS assumption in the standard model. Specifically, by revisiting an existing construction [Ducas and Micciancio, CRYPTO 2014], we demonstrate lattice-based signatures with improved reduction loss. As far as we know, there are no ways to use multiple tags in the signature simulation of security proof in the lattice tag-based signatures. We address the tag-collision possibility in the lattice setting, which improves reduction loss. Our scheme generates tags from messages by constructing a scheme under a mild security condition that is existentially unforgeable against random message attack with auxiliary information. Thus our scheme can reduce the signature size since it does not need to send tags with the signatures. Our scheme has short signature sizes of O(1) and achieves tighter reduction loss than that of Ducas et al.'s scheme. Our proposed scheme has two variants. Our scheme with one property has tighter reduction and the same verification key size of O(log n) as that of Ducas et al.'s scheme, where n is the security parameter. Our scheme with the other property achieves much tighter reduction loss of O(Q/n) and verification key size of O(n), where Q is the number of signing queries.</p>
収録刊行物
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- IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E106.A (3), 228-240, 2023-03-01
一般社団法人 電子情報通信学会
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詳細情報 詳細情報について
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- CRID
- 1390858220181316096
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- ISSN
- 17451337
- 09168508
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- Crossref
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- 抄録ライセンスフラグ
- 使用不可