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Hash to Point on G2 in BN256 pairing #416

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rsinha opened this issue Mar 15, 2020 · 4 comments
Open

Hash to Point on G2 in BN256 pairing #416

rsinha opened this issue Mar 15, 2020 · 4 comments

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@rsinha
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rsinha commented Mar 15, 2020

Hi,

First of all, thank you for your work on this crypto library.

Is there a reason Hash (to group element) is only defined for group G1, but not for G2?
I have a use case where key derivation requires hashing on both elements.
@ineiti
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ineiti commented Mar 16, 2020

Can you please explain further? You might have misunderstood the difference between the suite and the Group:

  • suite: defines a hash-function, XOF, random-source plus a group (or three in the case of bn256)
  • group: more precisely a field and a group that define a cryptographic one-way function to be used in asymmetric crypto

So the hash to group element is Embed, and this is defined on G1, G2, and GT.

@rsinha
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rsinha commented Mar 16, 2020 •
edited

Thanks for the clarification. I am referring to the definition of func (p *pointG1) Hash(m []byte) kyber.Point in pairing/bn256/point.go. I didn't find a similar definition for pointG2.

It also looks like Embed is currently unsupported for the groups in bn256.

@ineiti
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ineiti commented Mar 17, 2020

Oups - I didn't read two lines down "not implemented" - sorry. You're right, Hash is not implemented on G2.

@nikkolasg did the implementation of this code. Or perhaps @Daeinar can help here?

Can we just copy/paste the code from G1.Hash to G2.Hash?

@AkshayaMani
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We have created a pull request for hash to G2. The status can be found here: #428.

@K1li4nL K1li4nL linked a pull request Apr 1, 2024 that will close this issue
G2hash #428
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G2hash AkshayaMani/kyber
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@rsinha @ineiti @AkshayaMani