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Tagged with mceliece public-key
9 questions
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What is the security implication of non-full-rank systematic matrix in McEliece cryptosystem?
The Classic McEliece cryptosystem has the following key generation procedure:
Choose a field $\mathbb{F}_{2^m}$, an irreducible polynomial $g(x)$ of degree $t$, and $n$ field elements $\alpha_1, \...
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Code used for McEliece cryptosystem
In the McEliece cryptosystem, is choice of the code known to the attacker? And if a structural attack succeeded and the attacker found the generator matrix of the code, how did the attacker decode the ...
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McEliece cryptosystem
There is something intriguing me about this cryptosystem. That is :
Let $(S, G, P)$ be the secret key:
$S$ : invertible matrix
$G$ : generator matrix for some linear code $C$
$P$ : permutation ...
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How can we prove that the scrambled G matrix in McEliece cryptosystem preserves the minimum distance properties of G matrix?
In McEliece cryptosystem, G matrix is scrambled using S and P so that scrambled G matrix is G' = SGP. Here G is the generator matrix of a linear code and after scrambling it is converted into another ...
4
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Basic attacks on McEliece; finding S and P
Take a McEliece cryptosystem with public generator matrix $G' = S G P$ where $G$ is a generator of a secret code with known fast decoding (not necessarily a Goppa code over $\mathbb{F}_2$), $S$ is ...
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Is the Couvreur et al. polynomial time attack on McEliece practical?
There's a new e-print out on arXiv titled "A Polynomial Time Attack against Algebraic Geometry Code Based Public Key Cryptosystems" by Alain Couvreur, Irene Márquez-Corbella and Ruud Pellikaan:
"We ...
2
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McEliece Public Key Encryption
The definition of Public Key Encryption(PKE) say that:
A PKE scheme is a triple of probabilistic polynomial time algorithm (PPT) (Gen,Enc,Dec).
The definition of PPT say:
In complexity theory, ...
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McEliece for streaming data
Under the assumption that there exists a real-world implementation of the McEliece scheme, could it be applied to streaming data as is? By that I mean in 'block cipher mode'? I've read that McEliece ...
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Is key size the only barrier to the adoption of the McEliece cryptosystem, or is it considered broken/potentially vulnerable?
A recent paper showed that the McEliece cryptosystem is not, unlike RSA and other cryptosystems, weakened as drastically by quantum computing because strong Fourier sampling cannot solve the hidden ...