603 research outputs found
Improving the efficiency of the LDPC code-based McEliece cryptosystem through irregular codes
We consider the framework of the McEliece cryptosystem based on LDPC codes,
which is a promising post-quantum alternative to classical public key
cryptosystems. The use of LDPC codes in this context allows to achieve good
security levels with very compact keys, which is an important advantage over
the classical McEliece cryptosystem based on Goppa codes. However, only regular
LDPC codes have been considered up to now, while some further improvement can
be achieved by using irregular LDPC codes, which are known to achieve better
error correction performance than regular LDPC codes. This is shown in this
paper, for the first time at our knowledge. The possible use of irregular
transformation matrices is also investigated, which further increases the
efficiency of the system, especially in regard to the public key size.Comment: 6 pages, 3 figures, presented at ISCC 201
Roadmap on optical security
Postprint (author's final draft
Security and complexity of the McEliece cryptosystem based on QC-LDPC codes
In the context of public key cryptography, the McEliece cryptosystem
represents a very smart solution based on the hardness of the decoding problem,
which is believed to be able to resist the advent of quantum computers. Despite
this, the original McEliece cryptosystem, based on Goppa codes, has encountered
limited interest in practical applications, partly because of some constraints
imposed by this very special class of codes. We have recently introduced a
variant of the McEliece cryptosystem including low-density parity-check codes,
that are state-of-the-art codes, now used in many telecommunication standards
and applications. In this paper, we discuss the possible use of a bit-flipping
decoder in this context, which gives a significant advantage in terms of
complexity. We also provide theoretical arguments and practical tools for
estimating the trade-off between security and complexity, in such a way to give
a simple procedure for the system design.Comment: 22 pages, 1 figure. This paper is a preprint of a paper accepted by
IET Information Security and is subject to Institution of Engineering and
Technology Copyright. When the final version is published, the copy of record
will be available at IET Digital Librar
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