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Episode 250: What's the Deal with Hash Functions?
Zero Knowledge
The Security of a Hash Function
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One of the biggest breakthroughs that zkash had was when they moved to sapling was switching it to a peterson hash which is interesting because that construction is actually not really symmetric creep to anymore. One clear requirement that you have there is of course a security of a hash function so you must not be able to find the collision or worse not pre-image faster than for example two to the 128 operations if you declare a security level of 128 bits. The second requirement that came into application was clearly sexiness in circuits so that your hash function must be short enough but even this is not really well defined.
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