Although the alphine cipher is a lot easier to break using brute force than a substitution cipher, the key used is a lot simpler. I find it interesting that a lot of times there are trade-offs between things. This time it is security vs. simplicity of the encryption key. Other times it is time vs. security.
It is kind of difficult to think about fractions like 1/9 as the inverse of 1/9 rather than the actual fractions. We didn't use fractions at all when dealing with modular arithmetic in math 371.
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