Re: [CFRG] compact representation and HPKE

Mike Hamburg <mike@shiftleft.org> Fri, 12 February 2021 22:36 UTC

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Subject: Re: [CFRG] compact representation and HPKE
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> On Feb 12, 2021, at 6:32 PM, Mike Hamburg <mike@shiftleft.org> wrote:

> It’s worth mentioning, on the subject of “but what about the patents”: the fastest set of x-only formulas I’m aware of, 11M/bit as described in https://eprint.iacr.org/2020/437.pdf <https://eprint.iacr.org/2020/437.pdf>, are patented by my employer (not my choice to make).  On the second-fastest set I’m aware of, 12M/bit as described in https://ches.2017.rump.cr.yp.to/a1933e522beb16591d9dc8e373ad7079.pdf <https://ches.2017.rump.cr.yp.to/a1933e522beb16591d9dc8e373ad7079.pdf>, I’m not aware of any patents.

To clarify, “fastest” here is restricted to general short-Weierstrass curves over large-characteristic fields, without endomorphisms, etc.  The classic Montgomery ladder on Montgomery curves is of course faster.

— Mike