Question

1.46. Explain why the cipher $e_k(m) = k oplus m$ and $d_k(c) = k oplus c$ defined by XOR of bit strings is not secure against a chosen plaintext attack. Demonstrate your attack by finding the private key used to encrypt the 16-bit ci- phertext $c = 1001010001010111$ if you know that the corresponding plaintext is $m = 0010010000101100$.

          1.46. Explain why the cipher
$e_k(m) = k oplus m$
and
$d_k(c) = k oplus c$
defined by XOR of bit strings is not secure against a chosen plaintext attack.
Demonstrate your attack by finding the private key used to encrypt the 16-bit ci-
phertext $c = 1001010001010111$ if you know that the corresponding plaintext is
$m = 0010010000101100$.

1.46. Explain why the cipher
ek(m) = k oplus m
and
dk(c) = k oplus c
defined by XOR of bit strings is not secure against a chosen plaintext attack.
Demonstrate your attack by finding the private key used to encrypt the 16-bit ci-
phertext c = 1001010001010111 if you know that the corresponding plaintext is
m = 0010010000101100.

Added by Christopher P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

06/19/2022

Step 1

This means that if an attacker knows the plaintext and the corresponding ciphertext, they can easily calculate the key used for encryption. Show more…

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1.46. Explain why the cipher e_k(m) = k ⊕ m and d_k(c) = k ⊕ c defined by XOR of bit strings is not secure against a chosen plaintext attack. Demonstrate your attack by finding the private key used to encrypt the 16-bit ciphertext c = 1001010001010111 if you know that the corresponding plaintext is m = 0010010000101100.