[Resource Topic] 2024/1286: Towards a Tightly Secure Signature in Multi-User Setting with Corruptions Based on Search Assumptions

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

Authors: 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.

ePrint: https://eprint.iacr.org/2024/1286

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