Paper 2024/1286 Original: eprint.iacr.org/2024/1286 ↗

Towards a Tightly Secure Signature in Multi-User Setting with Corruptions Based on Search Assumptions

Hirofumi Yoshioka
Wakaha Ogata
Keitaro Hashimoto
Abstract

This paper is a report on how we tackled constructing a digital signature scheme whose multi-user security with corruption can be tightly reduced to search assumptions. We fail to (dis)prove the statement but obtain the following new results: - We reveal two new properties of signature schemes whose security cannot be tightly reduced to standard assumptions. - We construct a new signature scheme. Its multi-user security with corruption is reduced to the CDH assumption (in the ROM), and its reduction loss is independent of the number of users but depends on the number of RO queries.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2024-08-15: last updated
2024-08-15: published
Short URL
https://ia.cr/2024/1286
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2024/1286,
      author = {Hirofumi Yoshioka and Wakaha Ogata and Keitaro Hashimoto},
      title = {Towards a Tightly Secure Signature in Multi-User Setting with Corruptions Based on Search Assumptions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/1286},
      year = {2024},
      url = {https://eprint.iacr.org/2024/1286}
}
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