Assuming the dice are perfectly balanced then the entropy (randomness) should be 100%. I think what you are meaning to ask is if the sample size is large enough, which would be 10^48 different combinations. I don't know if 48 zeros is enough, but it sure is a lot. Also, the method you use to assign letters to each dice roll further increases complexity.

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I plan on breaking the number up into twelve 4 digit numbers.

0000 = abandon

2047 = zoo

I forgot I need to calulate the checksum.