sipa changed the topic of #bitcoin-wizards to: This channel is for discussing theoretical ideas with regard to cryptocurrencies, not about short-term Bitcoin development | http://bitcoin.ninja/ | This channel is logged. | For logs and more information, visit http://bitcoin.ninja
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<jnewbery>
adnytoshi: tex version is the same:
<jnewbery>
> In this scheme, rather than having $kG = sG - exG$ committed to by $e$, we have a set of hashes $\{e_i\}_{i=0}^{n-1}$, each committing to $k_iG = s_iG - e_iP_i$, where the indices are considered modulo $n$.
<jnewbery>
ah, instagibbs beat me to it by 6 months!
<andytoshi>
hah, yeah, i always forget to keep an eye on that repo
<jnewbery>
although your comment in github: "Confirmed by @jnewbery" is worrisome. You shouldn't use jnewbery as an authority for your technical documentation!
<andytoshi>
lol, i did look at it myself!
<andytoshi>
so with instagibbs that's three of us, which is pretty good for an index fix on the borromean paper..
<andytoshi>
yeah, i'll definitely merge it, but i will reopen issue #1 because i'm still not thrilled about there being two repos. (it's not my repo and i'm unsure if there are links into it floating around, so i don't want to close it though)
<andytoshi>
...oh, i can't even merge into it. weird
<jnewbery>
yeah - the excellent waxwing write-up on CT links to it, which is how I ended up there. (thanks for recommending that paper, by the way!)
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<instagibbs>
heh
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<bsm1175321>
nsh: that's super interesting...
<bsm1175321>
There exist 4 and 8 dimensional spaces (hypercomplex) that have never been studied, and I believe will yield important results about the Riemann zeta and therefore have deep implications for cryptography...
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<bsm1175321>
Quaternions, it turns out, were the wrong way to go and you can't construct analytic functions with them.
<bsm1175321>
For those that don't know...the nontrival zeros of the Riemann zeta are precisely the set of prime numbers. (The unproven Riemann hypothesis -- and if you can prove it the Clay Mathematics Institute will give you a million dollars) http://www.claymath.org/millennium-problems/riemann-hypothesis
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<kanzure>
"The impact of transaction fees on bitcoin mining strategies" ftp://ftp.cs.princeton.edu/reports/2016/983.pdf
<gmaxwell>
The root of all these problems is that the value to a miner for mining a block
<gmaxwell>
must not change with time. One of the assumptions of the model made in chapter
<gmaxwell>
2 was that miners have the capability of claiming all possible transactions available
<gmaxwell>
in their next block. This closely relates to the block size debate that is ongoing at
<gmaxwell>
the time of writing. This assumption does not hold if the block size is small and
<gmaxwell>
there is a backlog of transactions. In this case, immediately after a block is found, all
<gmaxwell>
miners searching for the next block can immediately fill the block with transactions,
<gmaxwell>
making the system more similar to how it is with a block reward.
<gmaxwell>
yea, too bad they didn't also analyize further in that case.
<gmaxwell>
we do today have pretty healthy backlogs currently https://people.xiph.org/~greg/temp/fee_avail3.png (red line is fees available immediately before a new block, green line immediately after.