forked from tornado-packages/noble-curves
35 lines
2.4 KiB
Markdown
35 lines
2.4 KiB
Markdown
# StarkWare's Poseidon Hash
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[Poseidon](https://www.poseidon-hash.info/) is a family of hash functions designed for being very efficient as algebraic circuits.
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As such, they may be very useful in ZK proving systems such as STARKs and others.
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This repository provides the official parameters of StarkWare's Poseidon hash implementations.
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All the instances are over the prime field:
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p = 2^251 + 17 * 2^192 + 1 = 3618502788666131213697322783095070105623107215331596699973092056135872020481
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A few examples hash results with the different parameters:
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```
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Poseidon3([0,0,0]) = [3446325744004048536138401612021367625846492093718951375866996507163446763827,
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1590252087433376791875644726012779423683501236913937337746052470473806035332,
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867921192302518434283879514999422690776342565400001269945778456016268852423]
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Poseidon4([0,0,0,0]) = [535071095200566880914603862188010633478042591441142518549720701573192347548,
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3567335813488551850156302853280844225974867890860330236555401145692518003968,
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229995103310401763929738317978722680640995513996113588430855556460153357543,
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3513983790849716360905369754287999509206472929684378838050290392634812839312]
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Poseidon5([0,0,0,0,0]) = [2337689130971531876049206831496963607805116499042700598724344149414565980684,
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3230969295497815870174763682436655274044379544854667759151474216427142025631,
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3297330512217530111610698859408044542971696143761201570393504997742535648562,
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2585480844700786541432072704002477919020588246983274666988914431019064343941,
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3595308260654382824623573767385493361624474708214823462901432822513585995028]
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Poseidon9([0,0,0,0,0,0,0,0,0]) = [1534116856660032929112709488204491699743182428465681149262739677337223235050,
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1710856073207389764546990138116985223517553616229641666885337928044617114700,
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3165864635055638516987240200217592641540231237468651257819894959934472989427,
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1003007637710164252047715558598366312649052908276423203724288341354608811559,
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68117303579957054409211824649914588822081700129416361923518488718489651489,
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1123395637839379807713801282868237406546107732595903195840754789810160564711,
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478590974834311070537087181212389392308746075734019180430422247431982932503,
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835322726024358888065061514739954009068852229059154336727219387089732433787,
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3129703030204995742174502162918848446737407262178341733578946634564864233056]
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``` |