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We all know there is Base 10, Base 16, etc. Are there encryption algorithms out there based on different or unique Base-N numbering systems?

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  • $\begingroup$ Note that different bases do nothing for security; FF1 and FF3 basically take a base 2 algorithm (computers work on bits) and convert it so it can be used on different input / output domains. FF1 and FF3 are handy if your input / output needs to be in a particular range - the algorithm itself of course still works using bit operations. You can also use e.g. base64 on the ciphertext if your output should adhere to a specific range of printable characters. $\endgroup$
    – Maarten Bodewes
    Jan 2, 2018 at 16:05

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There's FF1 and FF3, which are Format Preserving Encryption methods that can use an arbitrary base internally. This can be useful, for example, if you are encrypting a fixed length alphanumeric field, it would make sense to use base 36 (radix=36) or base 62 (if upper and lower cases are distinguished).

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