Fix typos

mcl/README.md

@@ -2,7 +2,7 @@
 
 ## About
 
-This is a KZG10 implmentation in Rust, heavily based on the Go implementation by protolambda https://github.com/protolambda/go-kzg.
+This is a KZG10 implementation in Rust, heavily based on the Go implementation by protolambda https://github.com/protolambda/go-kzg.
 
 This repo also contains Herumi MCL, as I could not find a way to make the cargo crate for mcl_rust work, and it does seem abandoned. It can be found here: https://github.com/herumi/mcl-rust.
 
@@ -24,4 +24,4 @@ To run benchmarks, just run
 
 ```bash
 cargo bench
-```
+```

tasks/II.md

@@ -1,13 +1,13 @@
 Task II - Optimise MSM
 
-* The codebase needs to be updated to the latest [c-kzg-4844](https://github.com/ethereum/c-kzg-4844), dependencies also needs to be upgraded;
+* The codebase needs to be updated to the latest [c-kzg-4844](https://github.com/ethereum/c-kzg-4844), dependencies also need to be upgraded;
 * KZG10 does a heavy MSM computation when calculating commitment and opening. `rust-kzg` with `blst` backend uses Pippenger method (including the parallel version of it) and produces decent results, however, `go-kzg-4844` is faster here, so there is a place for improvements. Possible optimisation directions:
-  - BGMW algoritm ([this dissertation](https://uwspace.uwaterloo.ca/bitstream/handle/10012/19626/Luo_Guiwen.pdf?sequence=3) is an easy to read source). We will likely benefit from it because our trusted setup is not very large, we can store precomputations in the memory. C++ implementation can be found [here](https://github.com/LuoGuiwen/MSM_blst/blob/2e098f09f07969ac3191406976be6d1c197100f2/main_p1.cpp#L294). However, we need a parallelized Rust version, so it could be that the best way is to build on top of [blst parallel implementation](https://github.com/supranational/blst/blob/master/bindings/rust/src/pippenger.rs#L116). Feel free to explore other code bases and use it if there is actually a more convenient parallel Pippenger implementation in Rust.
-  - Other optimisations proposed in that [this dissertation](https://uwspace.uwaterloo.ca/bitstream/handle/10012/19626/Luo_Guiwen.pdf?sequence=3);
+  - BGMW algorithm ([this dissertation](https://uwspace.uwaterloo.ca/bitstream/handle/10012/19626/Luo_Guiwen.pdf?sequence=3) is an easy to read source). We will likely benefit from it because our trusted setup is not very large, we can store precomputations in the memory. C++ implementation can be found [here](https://github.com/LuoGuiwen/MSM_blst/blob/2e098f09f07969ac3191406976be6d1c197100f2/main_p1.cpp#L294). However, we need a parallelized Rust version, so it could be that the best way is to build on top of [blst parallel implementation](https://github.com/supranational/blst/blob/master/bindings/rust/src/pippenger.rs#L116). Feel free to explore other code bases and use it if there is actually a more convenient parallel Pippenger implementation in Rust.
+  - Other optimisations proposed in [this dissertation](https://uwspace.uwaterloo.ca/bitstream/handle/10012/19626/Luo_Guiwen.pdf?sequence=3);
   - Optimisations implemented in [arkmsm](https://github.com/snarkify/arkmsm), they also have an [explanation](https://hackmd.io/@drouyang/msm);
   - Cuda GPU parallel algorithms, some examples [here](https://github.com/z-prize/2022-entries/tree/main/open-division/prize1-msm/prize1a-msm-gpu), but very likely there are faster versions now;
   - Discuss other ideas with the supervisor.
-* Teams will need to try to figure out a way to get their algorithms useful for other ECC backends, if this is not possible for some reason - MSM optimistations will be needed to be implemented for `blst` backend;  
+* Teams will need to try to figure out a way to get their algorithms useful for other ECC backends, if this is not possible for some reason - MSM optimisations will be needed to be implemented for `blst` backend;  
 * The build must pass on Github CI.
 
 Points: 2

tasks/III.md

@@ -1,9 +1,9 @@
 Task III - Join MSM optimisations
 
-* The codebase needs to be updated to the latest [c-kzg-4844](https://github.com/ethereum/c-kzg-4844), dependencies also needs to be upgraded;
+* The codebase needs to be updated to the latest [c-kzg-4844](https://github.com/ethereum/c-kzg-4844), dependencies also need to be upgraded;
 * The goal is to join all previous optimisations into one optimised MSM implementation. The teams need to collaborate in order to make the optimisations compatible between each other.
-* Joints MSM optimisations needs to be genereric (compatible with multiple ECC backend). If not possible - consult with supervisor.
-* Optimisations needs to be fuzzed against `go-kzg-4844` and `c-kzg-4844` with the [fuzzer](https://github.com/jtraglia/kzg-fuzz).
+* Joints MSM optimisations need to be generic (compatible with multiple ECC backend). If not possible - consult with supervisor.
+* Optimisations need to be fuzzed against `go-kzg-4844` and `c-kzg-4844` with the [fuzzer](https://github.com/jtraglia/kzg-fuzz).
 * The build must pass on Github CI.
 
 Points: 2