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Efficient implementation of a CCA2-Secure variant of mceliece using generalized srivastava codes

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This paper provides secure parameters for a classical McEliece encryption scheme based on quasi-dyadic generalized Srivastava codes, and successively converts the scheme to a CCA2-secure protocol in the random oracle model applying the Fujisaki-Okamoto transform.
Abstract
In this paper we present efficient implementations of McEliece variants using quasi-dyadic codes. We provide secure parameters for a classical McEliece encryption scheme based on quasi-dyadic generalized Srivastava codes, and successively convert our scheme to a CCA2-secure protocol in the random oracle model applying the Fujisaki-Okamoto transform. In contrast with all other CCA2-secure code-based cryptosystems that work in the random oracle model, our conversion does not require a constant weight encoding function. We present results for both 128-bit and 80-bit security level, and for the latter we also feature an implementation for an embedded device.

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An Efficient CCA2-Secure Variant of the McEliece Cryptosystem in the Standard Model

TL;DR: In this article, the authors proposed an efficient CCA2-secure variant of the McEliece PKE scheme in the standard model, which can be applied to any one-way trapdoor function (OW-TDF).
References
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Book

The Theory of Error-Correcting Codes

TL;DR: This book presents an introduction to BCH Codes and Finite Fields, and methods for Combining Codes, and discusses self-dual Codes and Invariant Theory, as well as nonlinear Codes, Hadamard Matrices, Designs and the Golay Code.
Journal ArticleDOI

On the inherent intractability of certain coding problems (Corresp.)

TL;DR: The fact that the general decoding problem for linear codes and the general problem of finding the weights of a linear code are both NP-complete is shown strongly suggests, but does not rigorously imply, that no algorithm for either of these problems which runs in polynomial time exists.
Book ChapterDOI

Polynomial reconstruction based cryptography

TL;DR: A short overview of recent works on the problem of Decoding Reed Solomon Codes (aka Polynomial Reconstruction) and the novel applications that were enabled due to this development.
Book

Public-Key Cryptography

TL;DR: This book gives a broad overview of public-key cryptography - its essence and advantages, various public- key cryptosystems, and protocols - as well as a comprehensive introduction to classical cryptography and cryptoanalysis.