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

Recently, Wang (2016) introduced a random linear code based quantum resistant public key 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 proposes message padding schemes for RLCE to achieve IND-CCA2 security. Practical RLCE parameters for the security levels of 128, 192, and 256 bits and for the quantum security levels of 80, 110, and 144 are recommended. The implementation of the RLCE encryption scheme and software packages for analyzing the security strength of RLCE parameters are available at http://quantumca.org/.