# Questions tagged [schnorr-signature]

A digital signature algorithm based on the discrete logarithm problem, provably secure in the random oracle model.

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### Generalized Schnorr's signature variations

I'm working on an ECC-based system. There's a Schnorr's signature, by which the prover may prove a knowledge of a preimage (i.e. scalar, private key) of an EC point (i.e. public key). It can be ...
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### Looking for a partially blind multisignature scheme?

I am working in a project inspired in digital cash where we would like to use partially-blind signatures. This is so that the Bank signs a check with a hidden serial number (S), but a plainly visible ...
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### Malleable version of Schnorr signature

Given an elliptic curve defined in $\mathbb{F}_{q}$ with a generator $G$ and a hash function $H_{q}(x)$ which maps $x$ to $\mathbb{F}_{q}$. A Schnorr signature variation for a data block $B$ such as: ...
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### Schnorr-signature calculating a coefficient

I need to create program that makes signature for selected file. I simplified algorithm a little, because I draw max 64 bit prime numbers instead of ...
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### Why is $e=0$ allowed in Schnorr signatures?

In a Schnorr signature (Wikipedia style), we have: $R = kG$, where $0<k<n$ is a nonce and $G$ is the generator point. $e = H(R \| M) \bmod n$, where $H()$ is a hashing function and $M$ is the ...
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### Is Wikipidia wrong about Schnorr Signatures?

Wikipidia says Schnorr signature generation is defined like this: ...
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### HW wallet and multisignaters in ECC

I need to design a system where there is a secure device (a.k.a. HW wallet), with the following functionality: Deterministic key generation for key parameters (speaking simply: key ID). Never expose/...
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### Drawbacks of Schnorr Authentication that require Fiat-Shamir and Random Oracles?

I've been going through G. Maxwell's paper on the Borromean Ring Signature, and I don't fully understand this part on Schnorr Signature. If some could explain it more intuitively thank you. "...
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### Using the same private key to generate Schnorr and BLS signatures

I am wondering if it is possible or if there are any limitations to using the same private key to generate Schnorr and BLS signatures. Specifically, assuming I have a private key $x$, I want to use it ...
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### Threshold Bitcoin signature scheme

Any advice would be appreciated: It seems to me that using an uncomplicated combination of a shamir scheme and schnorr it's fairly trivial to have a threshold signature scheme. I think it's also ...
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### Schnorr Pubkey Recovery

As per How does recovering the public key from an ECDSA signature work? , it's possible to recover public keys from ECDSA signatures. Is this possible for EC-Schnorr signatures as well? I'm looking ...
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### Schnorr signature using discrete logarithm / problem with python implementation [closed]

For educational purposes (by purpose with small values for the prime order q), I tried to write a small Python implementation of the Schnorr signature described in the Wikipedia article https://en....
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### Compact Schnorr signature?

The commonly-used ECDSA signature consists of 2 scalars $(r,s)$. There's also a Schnorr signature. Given private key $k$, public key $C = [k]G$ and the message $M$: Generate random scalar $k_1$ ...
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### Shor algorithm and schnorr signature in ed25519

Does the application of Shor's algorithm in any way relate/affect the schnorr signature in ed25519?
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### BLS aggregate signatures for relay node non-interactive incentive accounting

This is a practical application of cryptography question and I hope this is the right place to ask it. Any advice would be very much appreciated. I'm looking for a low-bandwidth, non-interactive ...
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### Missing step in Schnorr's proof that an attack on blind signatures requires solving ROS?

In Security of Blind Discrete Log Signatures Against Interactive Attacks C.P. Schnorr defines the ROS Problem and claims that a $(l+1)$ attack against his blind signature scheme is equivalent to ...
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### Schnorr signatures: multisignature support

Schnorr signature is mentioned as a promising upgrade to bitcoin to improve scalability. It support multisignature, several signatures can be aggregated into a single, new signature. But I fail to ...
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### Schnorr Digital Signature

I tried to rewrite the Schnorr signature algorithm for elliptic curves but I wanted to be sure to have not done any errors. So I would be very happy if someone could look over this algorithm and tell ...
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### Prove the Security of Schnorr's Signature Scheme

I know that Schnorr's signature is important since it is one of the most compact signature schemes whose security has been proved in the random oracle model. Now, I want to know if such proof is ...
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### Security of Schnorr signature versus DSA and DLP

The Schnorr signature scheme is a randomized signature scheme with appendix. The signature is $3t$-bit for conjectured $t$-bit security in a chosen-messages setup, with at most $2^{t/2}$ queries to a ...
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### Small generator for classical Schnorr signatures?

I'm implementing classical Schnorr signatures for real-world use. By "classical" I mean that the operations take place in a finite group, no elliptic curves. I'm following https://en.wikipedia.org/...
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### Plausible Deniability in Schnorr

How does a dishonest verifier affect plausible deniability of the interactive Schnorr protocol?
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### Security proof of partially blind signature (schnorr signature based)

I read a representative paper about partially blind signature. Abe and Okamoto - "provably secure partially blind signature". They suggested a partially blind signature scheme based on Schnorr ...
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### Unforgeability proof of partially blind signature (schnorr signature based)

I read a representative paper about partially blind signature. Abe and Okamoto - "provably secure partially blind signature". They suggested a partially blind signature scheme based on Schnorr ...