Text:"KSTYZKESLNZUV", encrypted with Vigenère cipher with key "RESULT"
To decrypt the text "KSTYZKESLNZUV" encrypted with the Vigenère cipher using the key "RESULT", you would use the following steps:
1. Write down the key "RESULT" repeatedly below the encrypted text until it matches the length of the encrypted text.
2. Use the Vigenère decryption table or formula to find ________ ________ _________ ______ ___ _________ ____ ______ ________ ______ ______ ___.
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Find the inverse of 13 (mod 51) using extended euclidean algorithm
Decrypt the message c = 23 that was encrypted using RSA algorithm with e = 43 and n = 77.
Text: "CBBGYAEBBFZCFEPXYAEBB", encrypted with affine cipher with key (7,2)
Let
We represent the field
by
LEt us write
the table of values is given below:
| i | Vector | i | Vector | ||
| 0 | 1 | (0,0,0,1) | 8 | (0,1,0,1) | |
| 1 | (0,0,1,0) | 9 | (1,0,1,0 | ||
| 2 | (0,0,1,0) | 10 | (0,1,1,1) | ||
| 3 | (1,0,0,0) | 11 | (1,1,1,0) | ||
| 4 | (1,0,0,0) | 12 | (1,1,1,1) | ||
| 5 | (0,1,1,0) | 13 | (1,1,0,1) | ||
| 6 | (1,1,0,0) | 14 | (1,0,0,1) | ||
| 7 | (1,0,1,1) |
ii) Compute using the logarithm and antilogarithm tables.
a) Considering the bytes 10001001 and 10101010 as elements of the field where
is the polynomial
find their product and quotient.
b) Find a recurrence that generates the sequence 110110110110110.
In this exercise, we introduce you to Hill cipher. In this cipher, we convert our message to numbers, just as in affine cipher. However, instead of encrypting character by character, we encrypt pairs of characters by multiplying them with an invertible matrix with co-efficients in .
Here is an example: Suppose we want to ENCRYPT "ALLISWELL". Since we require the plaintext to have even number of characters, we pad the message with the character ‘X’. We break up the message into pairs of characters AL, LI, SW, EL and LX. We convert each pair of characters into a pair elements in as follows:
Next, we choose an inveritble 2×2 matrix with coefficients in , for example,
This matrix has determinant and 5 is a unit in
with inverse
We write each pair of elements in
as a column vector and multiply it by A:
We then convert each pair of numbers to a pair of characters and write them down. In this example, we get the cipher text "LSPFYGXUEN" corresponding to the plain text "ALLWELL". To decrypt, we convert pairs of characters to pairs of numbers and multiply by
and we have
Decrypt the text "TWDXHUJLUENN" which was encrypted using the Hill’s cipher with the matrix as the encryption matrix
Use Miller-Rabin test to check whether 75521 is a strong pseuodprime to the base 2.