Fractions, use for crypto


Some calculators can calculate using fractions. Very nice. Those were
unavailable when I was at school. For example 1 / 3 * 1 /4 = 1 / 12, but the
calculation can be much more difficult. My calculator can show up to 10
digit numbers as integers and calculating using fractions seems to work OK
when the numbers in nominator and denominator "on the left side" are up to 5
numbers long.

Now then. I thought fractional numbers might have some use in cryptograhy.
Why? Eeehh ... you know ... fractions make calculating harder, so they could
be used to make breaking crypto harder, right? Have you seen any such ideas?


I know linear algebra is not a very good idea to implement cryptography, but
what if the matrix contained fractions instead of integers, would it make
matrix-based crypto stronger? I am thinking mainly about matrix inversion.

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