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| | | | | This post assumes working knowledge of elementary number theory. Luckily for the non-mathematicians, we cover all required knowledge and notation in our number theory primer. So Three Thousand Years of Number Theory Wasn't Pointless It's often tough to come up with concrete applications of pure mathematics. In fact, before computers came along mathematics was used mostly for navigation, astronomy, and war. In the real world it almost always coincided with the physical sciences. | |
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| | | | | Motivation RSA (Rivest-Shamir-Adleman) is one of the first public-key cryptosystems and is widely used for secure data transmission. In such a cryptosystem, the encryption key is public and is different from the decryption key which is kept secret. If I wanted to comprehend zero knowledge proofs, then understanding the grand-daddy of public-key cryptosystems is a must. Background Maths Exponential Rules 1 $$ \begin{align} \label{eq:exponent_rule} g^{a-b} &= \dfrac{g^a}{g^b} \newline g^{a+b} &= g^a g^b \n... | |
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