> For example, there are around 40k eight letter words, way more than 256. The entropy is so low because we keep using the same words, but we don't have to. Co

> For example, there are around 40k eight letter words, way more than 256. The entropy is so low because we keep using the same words, but we don't have to. Correct, but that low entropy is what distinguishes Monday Tuesday Wednesday Thursday Friday Saturday Sunday from (sampled from random Wikipedia article titles) Alabama Christopher List Park Girlfriend Manor crucifera or I saw your dad outside of Walmart yesterday. from (5th word of 2nd section of random Wikipedia articles) gospel Rich existed school and for Deputy he > We can also use abbreviations, invent proper nouns, Sure, make it 1.1 bits per character (the 1 bit is not a precise number anyway). That doesn't change anything about the orders of magnitude involved. > we don't even have to limit ourselves to English or even a single language. I tried to look for entropy of Chinese writing, and I've only found an upper bound of 3.8 bits per (UTF8) byte. That makes it still unlikely but at least conceivable that there is an all-8 amulet made of 64 bytes of Chinese text. > UTF-8 is quite wasteful for that purpose. Right, but as far as I understand that's the constraint. > And as a last resort, we could cheat with "password: }8pHgaQ^?7ic'6KIO!uDXQnhL3(6hcfZmRYnGUw1Pz`c?y@D" Yes, but that's not interesting from either an art nor from a computer science point of view.