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* port initial notes on commutative algebra: ideals & modules, Nakayama's lemma, etc * port notes on Noetherian rings&modules * add ideals related definitions * improve Cayley-Hamilton proof (specially determinant trick explanation) * polishing * add typos detection * add some exercises, and proof of Z and K[X} being PID
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math/cryptography
Notes, code and documents done while reading books and papers.
mathematics
- Notes on "Abstract Algebra" book, by Charles C. Pinter
- Notes on Weil pairing
- Notes on Galois Theory
- Notes on Commutative Algebra
In-between math & crypto:
cryptography
- Notes on Caulk & Caulk+ papers
- Notes on the BLS signatures
- Notes on IPA from Halo paper
- Notes on Sonic paper
- Notes on Sigma protocol and OR proofs
- Notes on FRI and STIR
- Notes on Spartan
- Notes on Nova
- Notes on HyperNova
code
Also some Sage implementations can be found in the *.sage files of this repo.
Also some of the algorithms and schemes can be found implemented (mostly in Rust language) in various repositories of the github https://github.com/arnaucube .