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WindowTitle->17. The RSA Algorithm | Introduction to Number Theory
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Cell[TextData[{
 "There are many public-key cryptography algorithms. One of the most \
important ones is the ",
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The RSA algorithm is entirely based on number theory, particularly modular \
arithmetic.\
\>", "Text",
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Cell["\<\
Its security relies on the computational difficulty of factoring large \
numbers.\
\>", "Text",
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Cell["It\[CloseCurlyQuote]s a simple yet reliable and elegant algorithm.", \
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Cell["\<\
In this lesson, you\[CloseCurlyQuote]ll get to know the mathematical \
background of the RSA algorithm, as well as how it works in practice.\
\>", "Text",
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Cell["History of RSA", "Subsection",
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Cell["\<\
The concept of an asymmetric public-key cryptosystem was first proposed by \
Whitfield Diffie and Martin Hellman in 1976. They tried to apply number \
theory and used a shared secret key created from exponentiation of some \
number, modulo a prime number. Nevertheless, they did not present a completed \
algorithm, perhaps because the difficulty of factoring was not well studied \
then.\
\>", "Text",
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Two pairs of keys need to be generated, a private key and a public key.\
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The exchanging parties need to know each other\[CloseCurlyQuote]s public keys.\
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The idea is to generate two mathematically related keys, but in a way that it\
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*)

(* NotebookSignature RRc6xle#eBXXtiY66@IMSYy2 *)
