Let EK: {0,1}128 → {0, 1}128 be an ideal block cipher with message space {0, 1}128, ciphertext space {0, 1}128, and key space {0, 1}128. Let x and y denote bitstrings of length 128. Is the following hash function H: {0, 17256 {0, 1}128 preimage resistant? → H(x, y) = Ey(y) Or
Let EK: {0,1}128 → {0, 1}128 be an ideal block cipher with message space {0, 1}128, ciphertext space {0, 1}128, and key space {0, 1}128. Let x and y denote bitstrings of length 128. Is the following hash function H: {0, 17256 {0, 1}128 preimage resistant? → H(x, y) = Ey(y) Or
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![Let \( E_K : \{0,1\}^{128} \rightarrow \{0,1\}^{128} \) be an *ideal* block cipher with message space \(\{0,1\}^{128}\), ciphertext space \(\{0,1\}^{128}\), and key space \(\{0,1\}^{128}\). Let \( x \) and \( y \) denote bitstrings of length 128. Is the following hash function \( H : \{0,1\}^{256} \rightarrow \{0,1\}^{128} \) preimage resistant?
\[
H(x, y) = E_y(y) \oplus x
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34c2a7c6-20d8-45e7-8c90-b1c224068cda%2F863ba84b-a891-4ae3-b997-989cacd5c881%2F4u2u549_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let \( E_K : \{0,1\}^{128} \rightarrow \{0,1\}^{128} \) be an *ideal* block cipher with message space \(\{0,1\}^{128}\), ciphertext space \(\{0,1\}^{128}\), and key space \(\{0,1\}^{128}\). Let \( x \) and \( y \) denote bitstrings of length 128. Is the following hash function \( H : \{0,1\}^{256} \rightarrow \{0,1\}^{128} \) preimage resistant?
\[
H(x, y) = E_y(y) \oplus x
\]
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Step 1
Hash function
The purpose of a hash function is to fit a set of inputs of any size into the a table or even other data structure with fixed-size elements.
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