> For the complete documentation index, see [llms.txt](https://hacking-notes.jord4n.pro/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://hacking-notes.jord4n.pro/hacking-wifi/wpa-wpa2-psk-network-attacks/precomputed-attacks/computation-speed-techniques-rainbow-tables.md).

# Computation Speed Techniques - Rainbow Tables

Notes on using rainbow tables to speed up password hash lookups.

Rainbow tables speed up password recovery with precomputed hash values.

They move work from the recovery phase to the preparation phase. The table stores chains of precomputed values.

### Standard approach

For each password candidate:

* Hash it.
* Compare it with the target hash.
* Check whether they match.

### Rainbow table approach

Use a dictionary of precomputed hash chains. This avoids recalculating every hash during the lookup.

The trade-off is storage space. Faster lookups require a larger precomputed table.

<figure><img src="https://131707722-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2Fl4EVJpcOrsgjSGsLI7p2%2Fuploads%2FGRCTn2WSibqcGmAP618i%2Fimage.png?alt=media&amp;token=fe174e12-8aa9-4f53-a40b-a2bf4d72015f" alt=""><figcaption></figcaption></figure>


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