Impossibility on the provable security of the Fiat-Shamir-type signatures in the non-programmable random oracle model

M Fukumitsu, S Hasegawa - … Conference, ISC 2016, Honolulu, HI, USA …, 2016 - Springer
On the security of Fiat-Shamir (FS) type signatures, some negative circumstantial evidences
were given in the non-programmable random oracle model (NPROM). Fischlin and …

On the impossibility of proving security of strong-RSA signatures via the RSA assumption

M Fukumitsu, S Hasegawa, S Isobe… - … Conference on Information …, 2014 - Springer
We pose a question whether or not the standard RSA assumption is sufficient to prove the
security of the strong RSA-based (SRSA-based, for short) signatures. In this paper, we show …

There are no post-quantum weakly pseudo-free families in any nontrivial variety of expanded groups

M Anokhin - arXiv preprint arXiv:2302.10847, 2023 - arxiv.org
Let $\Omega $ be a finite set of finitary operation symbols and let $\mathfrak V $ be a
nontrivial variety of $\Omega $-algebras. Assume that for some set $\Gamma\subseteq …

Black-box separations on Fiat-Shamir-type signatures in the non-programmable random oracle model

M Fukumitsu, S Hasegawa - … , ISC 2015, Trondheim, Norway, September 9 …, 2015 - Springer
In recent years, Fischlin and Fleischhacker showed the impossibility of proving the security
of specific types of FS-type signatures, the signatures constructed by the Fiat-Shamir …

Pseudo-free families of computational universal algebras

M Anokhin - Journal of Mathematical Cryptology, 2020 - degruyter.com
Let Ω be a finite set of finitary operation symbols. We initiate the study of (weakly) pseudo-
free families of computational Ω-algebras in arbitrary varieties of Ω-algebras. A family (Hd …

Pseudo-free families and cryptographic primitives

M Anokhin - Journal of Mathematical Cryptology, 2022 - degruyter.com
In this article, we study the connections between pseudo-free families of computational Ω-
algebras (in appropriate varieties of Ω-algebras for suitable finite sets Ω of finitary operation …

Non-Programmable Random Oracle モデル上で安全性証明可能なFiat-Shamir 型署名

福光正幸, 長谷川真吾 - コンピュータセキュリティシンポジウム2015 …, 2015 - ipsj.ixsq.nii.ac.jp
論文抄録 Paillier, Vergnaud は, Schnorr 署名など特定の Fiat-Shamir 型署名 (Fiat-Shamir
変換によって得られる署名方式の総称) に対して, 標準モデル上での安全性証明が困難であること …