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arXiv 2302.12447cs.CR
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基于 MinRank 的方案的更小公钥

Smaller public keys for MinRank-based schemes

Antonio J. Di Scala, Carlo Sanna

AI总结:

本文针对基于 MinRank 的后量子签名方案提出新的密钥生成算法,在保持同等安全性的同时,将公钥缩小至此前最优结果的约一半。

摘要:

MinRank 是线性代数中的一个 NP 完全问题,其特性使其适合用于构建后量子密码原语。目前已经提出了若干基于 MinRank 的数字签名方案。特别是其中的 MIRA 和 MiRitH 两个方案,已提交至 NIST 后量子密码标准化进程。在本文中,我们提出了一种用于基于 MinRank 的方案的密钥生成算法,可将公钥大小减小至此前在公钥大小方面最优算法所生成公钥大小的约 50%。具体而言,对于 128–256 位的安全级别,我们的算法生成的公钥大小处于 328–676 位范围内。我们还证明了该算法与此前算法具有同等安全性。

英文摘要:

MinRank is an NP-complete problem in linear algebra whose characteristics make it attractive to build post-quantum cryptographic primitives. Several MinRank-based digital signature schemes have been proposed. In particular, two of them, MIRA and MiRitH, have been submitted to the NIST Post-Quantum Cryptography Standardization Process. In this paper, we propose a key-generation algorithm for MinRank-based schemes that reduces the size of the public key to about 50% of the size of the public key generated by the previous best (in terms of public-key size) algorithm. Precisely, the size of the public key generated by our algorithm sits in the range of 328-676 bits for security levels of 128-256 bits. We also prove that our algorithm is as secure as the previous ones.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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