Diceware - Slovak

Wordlist sizes

• 5 dice rolls: 6^5 = 7 776 possibilities
• 6 dice rolls: 6^6 = 46 656 possibilities
• 7 dice rolls: 6^7 = 279 936 possibilities

Entropy

When the wordlist is known and word choices are random (dice throws)

Table (bits)

	5 dice rolls	6 dice rolls	7 dice rolls
1 word	12.92	15.51	18.1
2 words	25.85	31.02	36.19
3 words	38.77	46.53	54.28
4 words	51.7	62.04	72.38
5 words	64.62	77.55	90.47
6 words	77.55	93.06	108.57
7 words	90.47	108.57	126.66
8 words	103.4	124.08	144.76
9 words	116.32	139.59	162.85
10 words	129.23	155.1	180.95

Calculations

• 1 word passphrase
  • 5 dice wordlist: 1 * log2(6^5) = ~12.92 bits
  • 6 dice wordlist: 1 * log2(6^6) = ~15.51 bits
  • 7 dice wordlist: 1 * log2(6^7) = ~18.1 bits
• 2 words
  • 5 dice wordlist: 2 * log2(6^5) = ~25.85 bits
  • 6 dice wordlist: 2 * log2(6^6) = ~31.02 bits
  • 7 dice wordlist: 2 * log2(6^7) = ~36.19 bits
• 3 words
  • 5 dice wordlist: 3 * log2(6^5) = ~38.77 bits
  • 6 dice wordlist: 3 * log2(6^6) = ~46.53 bits
  • 7 dice wordlist: 3 * log2(6^7) = ~54.28 bits
• ...

Usage

• $ ./generate.py generates dictionaries
• $ cat diceware_sk_6_rolls | grep "^123456" searches for combination 123456 in diceware_sk_6_rolls wordlist
  • If you prepend your Bash command with space, it may not be saved in ~/.bash_history on some linux distributions

Example output

$ ./generate.py 
Original amount of words: 1807770
Filtered amount of words: 1708357
5 dice rolls list, length: 7776, minimum word length: 3
6 dice rolls list, length: 46656, minimum word length: 4
7 dice rolls list, length: 279936, minimum word length: 5
Generation took 3.99 seconds

Notes

• log2(n) = log(n) / log(2)
• If you are lazy to remember larger passphrase, then use larger wordlist
• If you reuse your password, high entropy will not help you

Sources

• What is Diceware
• Diceware FAQ
• Slovak frequency wordlist