As potential post-quantum cryptographic schemes, lattice based encryption schemes
and linear codes based encryption schemes
have received extensive attention in recent years.
Though LLL reduction algorithm has been one of the major cryptanalysis techniques
for lattice based cryptographic systems, cryptanalysis techniques for linear codes
based cryptographic systems are generally scheme specific. In recent years,
several important techniques such as
Sidelnikov-Shestakov attack and filtration attacks have been
developed to crypt-analyze linear codes based encryption schemes.
Though most of these cryptanalysis techniques
are relatively new, they prove to be very powerful and many systems have been broken
using these techniques. Thus it is important to systematically investigate and
design linear code based cryptographic systems that are immune against these attacks.
This paper proposes linear code based encryption schemes RLCE which share
many characteristics with random linear codes. Our analysis shows
that the scheme RLCE is secure against existing attacks and we expect that
the security of the RLCE scheme is equivalent to the hardness of decoding random linear codes.
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