Number Theory in Cryptography

Exploring the concepts of number theory relevant to cryptography, including methods for checking primality and the Euler’s Phi-Function, 𝜑(𝑛), also known as Euler’s totient function.

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Number Theory for Cryptography Checking for Primeness Euler’s Phi-Function Euler’s phi-function, 𝜑(𝑛), which is sometimes called the Euler’s totient function plays a very important role in cryptography. general formula to compute 𝜑(𝑛) Fermat’s theorem Euler’s theorem generalizes Fermat’s theorem to the case where the modulus is not prime. if 𝑛 is a positive integer and 𝑎, 𝑛 are coprime, then 𝑎^(𝜑(𝑛)) ≡ 1 mod 𝑛 where 𝜑(𝑛) is the Euler's totient function. Multiplicative Inverses Prime Numbers Deterministic Algorithms Probabilistic Algorithms Recommended Primality Test If you like IQPOP please SHARE, LIKE COMMENT, AND SUBSCRIBE to this CHANNEL. The lecture is recorded to help you. For new video Kindly recommend topics in the comment box.

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43:01

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Published
Mar 13, 2021

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