Here, the symbol implies congruence, or that equals. We’ll see lots of expressions in the form of: , we’re basically taking the remainder of most programming languages provide this in theįorm of a mod function or % operator. Numbers have a maximum value (called the modulus) and wrap around to 0 when they exceed it. The only thing we need to know before diving into RSA is some modularĪrithmetic, which is simply arithmetic with the property that Prove RSA itself – I might add that as an extension to the article at some point in the future. Solutions to (many of these won’t be immediately clear, so we’ll formally prove them as we go). Introduces a number of interesting problems, like finding greatest common divisors, performing modular exponentiation,Ĭomputing modular inverses, and generating random prime numbers, each of which we’ll thoroughly explore and derive In this post, we’ll implement RSA, but we’ll very much take the long way around while doing so. Forty years later, RSA underpins SSL certification, SSH handshakes, and lots more. GHCQ, but his work wasn’t declassified untilġ998 due to its sensitivity. Leonard Adleman, who then went on to found aĬybersecurity company of the same name – confusing, but great PR!Ĭlifford Cocks, an English cryptographer, arrived at a similarĪlgorithm in ‘73 while working for British intelligence at Hellman in ‘76, while RSA itself was patented in ‘77 by Ron Public-key encryption was proposed by Whitfield Diffie and Martin Never need to exchange a master key, meaning that communications can be securely encrypted without any prior contact. The beauty of public-key encryption is that the parties involved

In contrast to symmetric algorithms, like DES andĪES, which use the same key for both encryption andĭecryption, RSA employs two distinct keys: a public key used to encrypt data, and a private key used toĭecrypt whatever was encrypted with the public one.

RSA is a public-key, or asymmetric, encryption algorithm.

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