Quantum resistant random linear code based public key encryption scheme RLCE

@article{Wang2016QuantumRR,
  title={Quantum resistant random linear code based public key encryption scheme RLCE},
  author={Yongge Wang},
  journal={2016 IEEE International Symposium on Information Theory (ISIT)},
  year={2016},
  pages={2519-2523}
}
  • Yongge Wang
  • Published 28 December 2015
  • Computer Science, Mathematics
  • 2016 IEEE International Symposium on Information Theory (ISIT)
Lattice based encryption schemes and linear code based encryption schemes have received extensive attention in recent years since they have been considered as post-quantum candidate encryption schemes. Though LLL reduction algorithm has been one of the major cryptanalysis techniques for lattice based cryptographic systems, key recovery cryptanalysis techniques for linear code based cryptographic systems are generally scheme specific. In recent years, several important techniques such as… 
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References

SHOWING 1-10 OF 77 REFERENCES
Error-correcting pairs for a public-key cryptosystem
TLDR
The class of codes with a t-ECP is proposed for the McEliece cryptosystem and the hardness of distinguishing arbitrary codes from those having a t -error correcting pair is studied.
Algebraic Cryptanalysis of McEliece Variants with Compact Keys
TLDR
It is proved that the private key of the McEliece cryptosystem satisfies a system of bi-homogeneous polynomial equations, which is due to the particular class of codes considered which are alternant codes.
Distinguisher-based attacks on public-key cryptosystems using Reed–Solomon codes
TLDR
An alternative to Sidelnikov and Shestakov attack is given by building a filtration which enables to completely recover the support and the non-zero scalars defining the secret generalized Reed–Solomon code.
Selecting parameters for secure McEliece-based cryptosystems
TLDR
This paper solves the problem of selecting optimal parameters for the McEliece cryptosystem that are expected to provide security at least until a given year and gives detailed recommendations.
Reducing Key Length of the McEliece Cryptosystem
TLDR
The result suggests that decoding attack against the variant has little chance to be better than the general one against the classical McEliece cryptosystem, and a new NP-complete decision problem called quasi-cyclic syndrome decoding is introduced.
An Observation on the Security of McEliece's Public-Key Cryptosystem
TLDR
A systematic method of checking is suggested, and a generalized version of the cryptanalytic attack which reduces the work factor sigdicantly is described, which can be viewed as generalized probabilistic decoding algorithms for any linear error correcting codes.
On insecurity of cryptosystems based on generalized Reed-Solomon codes
TLDR
A method of finding the unknown matrices H, 2t which determines the matrix 93 in O(s + sN) arithmetical operations in F7 is suggested which proves the insecurity of public-key cryptosystems based on code-theoretic constructions.
Information-Set Decoding for Linear Codes over Fq
TLDR
This paper presents a generalization of Stern's information-set- decoding algorithm for decoding linear codes over arbitrary finite fields Fq and analyzes the complexity to make it possible to compute the security of recently proposed code-based systems over non-binary fields.
A Distinguisher for High-Rate McEliece Cryptosystems
TLDR
This work presents the first method allowing to distinguish alternant and Goppa codes over any field, and can solve the GD problem in polynomial time provided that the codes have sufficiently large rates.
Two NP-complete Problems in Coding Theory with an Application in Code Based Cryptography
  • Christian Wieschebrink
  • Computer Science, Mathematics
    2006 IEEE International Symposium on Information Theory
  • 2006
TLDR
It is shown that the reconstruction of a punctured code from a given code is an NP-complete problem, and a modification of code-based cryptosystems such as the Niederreiter scheme is suggested that is resistant to the Sidelnikov-Shestakov attack.
...
...