A New Technique in Rank Metric Code-Based Encryption

Cryptography

Lau, Terry Shue Chien¹ 

关键词: code-based cryptography;    McEliece;    public key encryption;    provable security;   

DOI  :  10.3390/cryptography2040032

学科分类：工程和技术（综合）

来源: mdpi

【 摘 要 】

We propose a rank metric codes based encryption based on the hard problem of rank syndrome decoding problem. We propose a new encryption with a public key matrix by considering the adding of a random distortion matrix over Fq mof full column rank n. We show that IND-CPA security is achievable for our encryption under assumption of the Decisional Rank Syndrome Decoding problem. Furthermore, we also prove some bounds for the number of matrices of a fixed rank with entries over a finite field. Our proposal allows the choice of the error terms with rank up to r 2, where r is the error-correcting capability of a code. Our encryption based on Gabidulin codes has public key size of 13 . 68 KB, which is 82 times smaller than the public key size of McEliece Cryptosystem based on Goppa codes. For similar post-quantum security level of 2 140 bits, our encryption scheme has a smaller public key size than the key size suggested by LOI17 Encryption.

【 授权许可】

CC BY