# Questions tagged [niederreiter]

The Niederreiter cryptosystem is a variation of the McEliece Cryptosystem and is equivalent to McEliece from a security point of view, but encryption using Niederreiter is about ten times faster than encryption with McEliece.

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### Proof that Niederreiter Cryptosystem is correct

I read about Niederreiter Cryptosystem. I understood the Key Generator, encryption and decryption of the cryptosystem, but if I want to prove that is a correct cryptosystem, what should I do?
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### Niederreiter cryptosystem

I can't understand how Niederreiter cryptosystem works. If $c=mH^{'T}$ than why we cannot compute $m$ directly by multiplying $c$ with the $(H^{'T})^{-1}$? Can you give me an example of a "fast ...
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### Does the McBits cryptosystem work without permutation matrix?

I'm studying post quantum cryptography and recently found McBits (PDF) that is a version of the Niederreiter cryptosystem. I think I understand most of how the system works, but got a bit confused ...
Let $C$ be a code over the finite field $GF(2)$ with generator matrix $G$ and parity matrix $H$. Let $e+C=C'$ be a coset of code $C$. Let $S$ be a non-singular matrix and $H'=H\times S$. Finally, let \$...