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| def affine_cipher(message = input_box(default='"secrets"', width = 50), a=[1,3,4..12,14,15..25], b =[0..25]): | def affine_cipher(message = input_box(default='"secrets"', width = 50), a=[1,3,5,7,9,11,15,17,19,21,23], b =[0..25]): |
Sage Interactions - Cryptography - Under Construction
This page was be created at Sage Days 103, 7-10 August 2019 by Sarah Arpin, Catalina Camacho-Navarro, Holly Paige Chaos, Amy Feaver, Eva Goedhart, Rebecca Lauren Miller, Alexis Newton, and Nandita Sahajpal.
We would also like to acknowledge Katherine Stange, who allowed us to use some of the code from her cryptography course as a starting point for many of these interacts.
If you have cryptography-related interactions that you are interested in adding to this page, please do so. You can also contact Amy Feaver at [email protected]
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Shift Cipher
by Sarah Arpin, Alexis Newton
The shift cipher is a classical cryptosystem that takes plaintext and shifts it through the alphabet by a given number of letters. -EG
Shift Cipher Encryption
Shift Cipher Decryption
If you know that your message was encrypted using a shift cipher, you can use the known shift value to decrypt. If this is not known, brute force can be used to get 26 possible decrypted messages.
Affine Cipher
by Sarah Arpin, Alexis Newton
Substitution Cipher
by Catalina Camacho-Navarro
A simple cipher to encrypt messages in which each letter is assigned to another letter. Brute force or frequency analysis can be used to decrypt. -EG
Playfair Cipher
A special type of substitution cipher in which the plaintext is broken up into two-letter digraphs with some restrictions. Those digraphs are encrypted using a Polybius square, (i.e. a 5x5 grid in which each letter of the alphabet is its own entry with the exception of ij which are placed together). The positions of the letters in the digraph determine how the digraph is encrypted.
Frequency Analysis Decryption Tool
Vigenère Cipher
by Holly Paige Chaos, Rebecca Lauren Miller, and Kate Stange
Using a secret code word, encrypt each letter by shifting it the corresponding letter in the code word. -EG
Vigenère Cipher Encryption
Vigenère Cipher Decryption
Hill Cipher
by Holly Paige Chaos and Rebecca Lauren Miller
RSA
Named for the authors Rivest, Shamir, Aldeman, RSA uses exponentiation and modular arithmetic to encrypt and decrypt messages between two parties. Each of those parties has their own secret and public key. To see how it works, following along while Alicia and Bernadette share a message. -EG
Diffe-Hellman Key Exchange