McEliece cryptosystem based on Plotkin construction with QC-MDPC and QC-LDPC codes. (arXiv:2211.14206v2 [cs.CR] UPDATED)

In this paper, we propose a new variant of the McEliece cryptosystem using
two families of quasi-cyclic codes: low density parity check codes (QC-LDPC)
and moderate density parity check codes (QC-MDPC) (QC-MDPC). Due to the low
weight codewords in the dual of LDPC codes, this family of codes is vulnerable
to dual code attacks, making it unsuitable for use with the McEliece
cryptosystem. However, this is not the case in our proposal, and it is possible
by using the (U …

construction