Paper 2017/206

Revised Quantum Resistant Public Key Encryption Scheme RLCE and IND-CCA2 Security for McEliece Schemes

Yongge Wang

Abstract

Recently, Wang (2016) introduced a random linear code based quantum resistant public encryption scheme RLCE which is a variant of McEliece encryption scheme. In this paper, we introduce a revised version of the RLCE encryption scheme. The revised RLCE schemes are more efficient than the original RLCE scheme. Specifically, it is shown that RLCE schemes have smaller public key sizes compared to binary Goppa code based McEliece encryption schemes for corresponding security levels. The paper further investigates message padding schemes for RLCE to achieve IND-CCA2 security. Practical RLCE parameters for the security levels of $128, 192$, and $256$ are recommended. Furthermore, we point out that the algorithm proposed by Sendrier (ISIT 2005) for encoding extra information symbols within error locations of McEliece encryption scheme is incorrect.