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extend Galois Theory notes: add various 'tools'(useful theorems that don't appear in the book), add t^6-7\in Q example

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2025-09-21 17:45:55 +02:00
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README.md
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Notes, code and documents done while reading books and papers.
## mathematics
- [Notes on "Abstract Algebra" book, by Charles C. Pinter](abstract-algebra-charles-pinter-notes.pdf)
- [Notes on Caulk & Caulk+ papers](notes_caulk.pdf)
- [Notes on Weil pairing](weil-pairing.pdf)
- [Notes on Galois Theory](galois-theory-notes.pdf)
In-between math & crypto:
- [Notes on the DFT & FFT](fft-notes.pdf)
- [Notes on NTT](notes_ntt.pdf)
- [Notes on Reed-Solomon codes](notes_reed-solomon.pdf)
## cryptography
- [Notes on Caulk & Caulk+ papers](notes_caulk.pdf)
- [Notes on the BLS signatures](notes_bls-sig.pdf)
- [Notes on IPA from Halo paper](notes_halo.pdf)
- [Notes on Sonic paper](notes_sonic.pdf)
- [Notes on Weil pairing](weil-pairing.pdf)
- [Notes on Sigma protocol and OR proofs](sigma-or-notes.pdf)
- [Notes on Reed-Solomon codes](notes_reed-solomon.pdf)
- [Notes on FRI and STIR](notes_fri_stir.pdf)
- [Notes on Spartan](notes_spartan.pdf)
- [Notes on Nova](notes_nova.pdf)
- [Notes on HyperNova](notes_hypernova.pdf)
- [Notes on NTT](notes_ntt.pdf)
## 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 .