A new McEliece-type cryptosystem using Gabidulin-Kronecker product codes

This paper presents a new McEliece-type cryptosystem using Gabidulin-Kronecker product codes in the rank metric. The contributions of this paper are as follows. Firstly, we propose a new Gabidulin-Kronecker product code which is a kind of block circulant code, and give an efficient decoding algorith...

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Bibliographic Details
Published inTheoretical computer science Vol. 994; p. 114480
Main Authors Sun, Zhe, Zhuang, Jincheng, Zhou, Zimeng, Fu, Fang-Wei
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.05.2024
Subjects
Code-based cryptography
Gabidulin-Kronecker product codes
IND-CCA2
McEliece-type cryptosystem
Rank metric
Code-based cryptography
IND-CCA2
McEliece-type cryptosystem
Rank metric
Gabidulin-Kronecker product codes
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Summary:This paper presents a new McEliece-type cryptosystem using Gabidulin-Kronecker product codes in the rank metric. The contributions of this paper are as follows. Firstly, we propose a new Gabidulin-Kronecker product code which is a kind of block circulant code, and give an efficient decoding algorithm. Secondly, we design a one-way secure public key encryption scheme based on the Gabidulin-Kronecker product codes. Thirdly, we obtain an IND-CCA2 secure public key encryption scheme by converting our one-way secure public key encryption scheme under the hardness assumption of the RSD Dual Problem. In terms of efficiency, our scheme has a smaller public key size by taking advantage of the block circulant structure. For 128-bit security, the public key size of our proposal is 13% of Lau-Tan's cryptosystem (in the rank metric), and 19% of BIKE (in the Hamming metric). In terms of security, our scheme can resist Overbeck attack, Coggia-Couvreur attack and Sendrier attack.
ISSN:0304-3975
1879-2294
DOI:10.1016/j.tcs.2024.114480