2
$\begingroup$

I am doing some research on the BLS12-381 (https://hackmd.io/@benjaminion/bls12-381) and trying to understand if there are endomorphisms that are efficient. Of course, I am looking at this to explore faster multi scalar multiplications :)

I came across this post on Koblitz curves do koblitz curves over $\mathbb{F}_{P}$ as generalized in SEC2 always have $a$ as 0?

The case of interest for me is when the Koblitz curve is defined over prime order fields.

It does appear that the BLS12-381 has some similarities to the above. From what I understand, in the case of BLS12-381, There also exists a zero trace-subgroup which probably has a Frobenius automorphism.

Does there exist a construction for BLS12-381 on a zero trace subgroup (not sure if this makes sense), and if so does it have an efficiently computable endomorphism?

I am a bit new to this, so I am not sure if I phrased it effectively. I would appreciate any feedback/references. Thanks!

$\endgroup$

0

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Browse other questions tagged or ask your own question.