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When we have dice with n sides and use a wordlist of m words, then we would like to get an optimum entropy of log(m) per word. If, however, m is not a power of n, then, I think, we lose entropy when mapping dice throws to the words in the wordlist.
Consider n=3 and m=2:
1 → A
2 → B
3 → ?
What to do when the user rolls a "3"?
Two possibilities come to mind:
a)
1 → A
2 → B
3 → A
b)
1 → A
2 → B
3 → deny, roll again, until one of (1, 2) is rolled
The second one (b) is, what we implement currenty. But is this mathematically the best?
The text was updated successfully, but these errors were encountered:
When we have dice with n sides and use a wordlist of m words, then we would like to get an optimum entropy of log(m) per word. If, however, m is not a power of n, then, I think, we lose entropy when mapping dice throws to the words in the wordlist.
Consider n=3 and m=2:
What to do when the user rolls a "3"?
Two possibilities come to mind:
a)
1 → A
2 → B
3 → A
b)
1 → A
2 → B
3 → deny, roll again, until one of (1, 2) is rolled
The second one (b) is, what we implement currenty. But is this mathematically the best?
The text was updated successfully, but these errors were encountered: