Cryptology ePrint Archive: Report 2021/440

Two modifications for Loidreau's code-based cryptosystem

Wenshuo Guo and Fangwei Fu

Abstract: This paper presents two modifications for Loidreau’s code-based cryptosystem. Loidreau’s cryptosystem is a rank metric code-based cryptosystem constructed by using Gabidulin codes in the McEliece setting. Recently a polynomial-time key recovery attack was proposed to break Loidreau’s cryptosystem in some cases. To prevent this attack, we propose the use of subcodes to disguise the secret codes in Modification I. In Modification II, we choose a random matrix of low column rank over F q to mix with the secret matrix. According to our analysis, these two modifications can both resist the existing structural attacks. Additionally, we adopt the systematic generator matrix of the public code to make a reduction in the public-key size.

Category / Keywords: public-key cryptography / public-key cryptography

Original Publication (with minor differences):

Date: received 3 Apr 2021, last revised 17 Apr 2021

Contact author: ws_guo at mail nankai edu cn

Available format(s): PDF | BibTeX Citation

Version: 20210417:132506 (All versions of this report)

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