KZG Commitment Scheme: Further Reading

•

(1/10) KZG Commitment Scheme: Further Reading Want to dig deeper on elliptic curve cryptography, elliptic curve pairings and all of the other components of the Kate Polynomial Commitment Scheme? These are the resources that I used to go from 0 to 60.

(2/10) @dankrad's blog post of KZG commitments dankradfeist.de/ethereum/2020/06/16/kate-polynomial-commitments.html

(3/10) A great ELI 15 blog post on Kate (KZG) commitments by @tomwaltonpocock hackmd.io/@tompocock/Hk2A7BD6U

(4/10) This was the workshop where @dankrad walked everyone through KZG commitment, preparing the core devs for danksharding. hackmd.io/@hww/workshop_feb_2021#2110-2240-Part-1-The-Sharding-Design-and-the-Cryptographic-Primitives

(5/10) Very good lecture from @danboneh on the very basics of elliptic curve pairings. Boneh is the "B" from the "BLS" signatures. youtube.com/watch?v=8WDOpzxpnTE

(6/10) Two great videos on polynomial commitment schemes and the Kate scheme specifically. Part of a longer series on PLONK (a ZK-protocol) by @cryptodavidw. youtube.com/watch?v=W1E2CI_u6d0 youtube.com/watch?v=iwOovhLU8U4

(7/10) @VitalikButerin did a deep dive on elliptic curve pairings vitalik.ca/general/2017/01/14/exploring_ecp.html

(8/10) @bkiepuszewski did a really good thread summarizing Dankrad's post on KZG commitments twitter.com/bkiepuszewski/status/1518163771788824576?s=46&t=iXy-l6wfAjnCuEk41BlaWg

(9/10) A good summary of factoring and its critical role in cryptography. From Ben Lynn's personal website - Lynn is the "L" from the "BLS" signatures. crypto.stanford.edu/pbc/notes/crypto/factoring.html

(10/10) And, of course, the original KZG paper! iacr.org/archive/asiacrypt2010/6477178/6477178.pdf