Hackers' Pub

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`lang:` ISO 639-1	Finds content written in the specified language.	`lang:en`
`#` tag	Finds content with the specified tag. Case-insensitive.	`#HackersPub`
condition condition	Finds content that satisfies both conditions on either side of the space (logical AND).	`"Hackers' Pub" lang:en`
condition `OR` condition	Finds content that satisfies at least one of the conditions on either side of the OR operator (logical OR).	`#HackersPub OR "Hackers' Pub" lang:en`
`(` condition `)`	Combines the operators within the parentheses first.	`(#HackersPub OR "Hackers' Pub" OR "Hackers Pub") lang:en`

briansmith @briansmith@indieweb.social

3/19/2026, 4:50:02 AM

Public

I was hoping that sharing https://briansmith.org/ecc-inversion-addition-chains-01 would result in shorter addition chains being shared. I’m only aware of two cases where a shorter chain was shared: someone shared one for P-256 scalar inversion and then I found one shorter than theirs (implemented in *ring* in 2024). That made me confident that shorter chains for all the scalar inversions should be relatively easy to find. Newer non-FLT algorithms & formal verification mainstreaming make the problem less interesting, but still…

The Most Efficient Known Addition Chains for Field Element & Scalar Inversion for the Most Popular & Most Unpopular Elliptic Curves

briansmith.org

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