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# Quadratic Sieve Factorization | ||
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Guides: | ||
* Detailed Guide on QS: https://medium.com/nerd-for-tech/heres-how-quadratic-sieve-factorization-works-1c878bc94f81 | ||
* Wikipedia Article: https://en.wikipedia.org/wiki/Quadratic_sieve | ||
* Euler's Criterion for pre-emptevely determining if $ \exists a \text{such that } a^2 \equiv n \mod{p} $: https://en.wikipedia.org/wiki/Euler%27s_criterion | ||
* Tonelli shanks for finding quadratic residues (and Tonelli equation): https://en.wikipedia.org/w/index.php?title=Tonelli%E2%80%93Shanks_algorithm&oldid=1014170710#Tonelli%27s_algorithm_will_work_on_mod_p%5Ek | ||
* Block Wiedemann wikipedia article for computing the nullspace of a matrix (not implemented): https://en.wikipedia.org/wiki/Block_Wiedemann_algorithm | ||
**Guides:** | ||
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- [Detailed Guide on QS](https://medium.com/nerd-for-tech/heres-how-quadratic-sieve-factorization-works-1c878bc94f81) | ||
- [Wikipedia Article](https://en.wikipedia.org/wiki/Quadratic_sieve) | ||
- [Euler's Criterion for preemptively determining if $\exists a$ such that $a^2 \equiv n \mod{p}$](https://en.wikipedia.org/wiki/Euler%27s_criterion) | ||
- [Tonelli-Shanks for finding quadratic residues (and Tonelli equation)](https://en.wikipedia.org/w/index.php?title=Tonelli%E2%80%93Shanks_algorithm&oldid=1014170710#Tonelli%27s_algorithm_will_work_on_mod_p%5Ek) | ||
- [Block Wiedemann Wikipedia Article for computing the nullspace of a matrix (not implemented)](https://en.wikipedia.org/wiki/Block_Wiedemann_algorithm) |