研究成果

Identity-based encryption with equality test (IBEET) is a variant of identity-based encryption (IBE), in which any user with trapdoors can check whether two ciphertexts are encryption of the same plaintext. Although several lattice-based IBEET schemes have been proposed, they have drawbacks in either security or efficiency. Specifically, most IBEET schemes only satisfy selective security, while public keys of adaptively secure schemes in the standard model consist of matrices whose numbers are linear in the security parameter. In other words, known lattice-based IBEET schemes perform poorly compared to the state-of-the-art lattice-based IBE schemes (without equality test). In this paper, we propose a semi-generic construction of CCA-secure lattice-based IBEET from a certain class of lattice-based IBE schemes. As a result, we obtain the first lattice-based IBEET schemes with adaptive security and CCA security in the standard model without sacrificing efficiency. This is because, our semi-generic construction can use several state-of-the-art lattice-based IBE schemes as underlying schemes, e.g. Yamada's IBE scheme (CRYPTO'17).

In March 2023, ChatGPT generated a new puzzle, Sumplete. Sumplete consists of an n x n grid, each whose cell has an integer. In addition, each row and column of the grid has an integer, which we call a target value. The goal of Sumplete is to make the sum of integers in each row and column equal to the target value by deleting some integers of the cells. In this paper, we prove that Sumplete is NP-complete and propose a physical zero-knowledge proof for Sumplete. To show the NP-completeness, we give a polynomial reduction from the subset sum problem to Sumplete. In our physical zero-knowledge proof protocol, we use a card protocol that realizes the addition of negative and positive integers using cyclic permutation on a sequence of cards. To keep the solution secret, we use a technique named decoy technique.

Identity-based encryption with equality test (IBEET) is a variant of identity-based encryption (IBE), where any users who have trapdoors can check whether two ciphertexts are encryption of the same plaintext. Although several lattice-based IBEET schemes have been proposed, they have drawbacks in either security or efficiency. Specifically, most schemes satisfy only selective security, while adaptively secure schemes in the standard model suffer from large master public keys that consist of linear numbers of matrices. In other words, known lattice-based IBEET schemes perform poorly compared to the state-of-the-art lattice-based IBE schemes (without equality test). In this paper, we propose a semi-generic construction of CCA-secure lattice-based IBEET from a certain class of lattice-based IBE schemes. As a result, we obtain the first lattice-based IBEET schemes with adaptive security and CCA security in the standard model. Furthermore, our semi-generic construction can use several state-of-the-art lattice-based IBE schemes as underlying schemes. Then, we have adaptively secure lattice-based IBEET schemes whose public keys have only poly-log matrices.

Attribute-based encryption with equality test (ABEET) is an extension of the ordinary attribute-based encryption (ABE), where trapdoors enable us to check whether two ciphertexts are encryptions of the same message. Thus far, several CCA-secure ABEET schemes have been proposed for monotone span programs satisfying selective security under q-type assumptions. In this paper, we propose a generic construction of CCA-secure ABEET from delegatable ABE. Specifically, our construction is an attribute-based extension of Lee et al.'s generic construction of identity-based encryption with equality test from hierarchical identity-based encryption. Even as far as we know, there are various delegatable ABE schemes. Therefore, we obtain various ABEET schemes with new properties that have not been achieved before such as various predicates, adaptive security, standard assumptions, compact ciphertexts/secret keys, and lattice-based constructions.

With applications in secure messaging, Updatable Public Key Encryption (UPKE) was proposed by Jost et al. (EUROCRYPT '19) and Alwen et al. (CRYPTO '20). It is a natural relaxation of forward-secure public-key encryption. In UPKE, we can update secret keys by using update ciphertexts which any sender can generate. The UPKE schemes proposed so far that satisfy the strong CCA security are Haidar et al.'s concrete construction (CCS '22) and Dodis et al's generic construction that use Non-Interactive Zero-Knowledge (NIZK) arguments. Yet, even despite the aid of random oracles, their concrete efficiency is quite far from the most efficient CPA-secure scheme. In this paper, we first demonstrate a simple and efficient attack against Dodis et al.'s strongly CCA-secure scheme, and show how to fix it. Then, based on the observation from the attack and fix, we propose a new strongly CCA-secure generic construction for a UPKE scheme with random oracles and show that its instantiation is almost as concretely efficient as the most efficient CPA-secure one.