# 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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### why Niederreiter cryptosystem is not a candidate in NIST PQC competition?

Seemingly, Niederreiter cryptosystem is faster than McEliece, and it can also be used to implement digital signature. Why isn't this scheme appear in NIST post quantum competition?
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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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### A proposal for randomization of Niederreiter cryptosystem

The Niederreiter cryptosystem is a public key cryptosystem using Goppa code. Unfortunately it it is insecure unless it is a binary code. So I thought I could insert random linear codes into randomly ...
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### Is there a public-key system that can chain?

Does there exist any asymmetric cryptosystem that has the following properties: If I know somebody's public key PBK_1 and my own key pair (PVK_2,PBK_2), I can construct a new public key PBK_3 such ...
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### Why doesn't “Classic McEliece” need scrambling?

The original McEliece scheme uses two random matrices S and P to scramble the generator matrix and uses $\mathsf S·\mathsf G·\mathsf P$ as the public key. The Niederreiter variant also does about the ...
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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 ...
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### McEliece variants that support signatures

Besides the Niederreiter cryptosystem, are there any other variants that support digital signatures? Can any of them sign arbitrary signatures unlike the Niederreiter cryptosystem? What are the key ...
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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 \$...