Assume that a cryptographic checksum function computes hashes of 128 bits. Prove that the probability is 0.5 that at least one collision will occur after hashing 264 randomly selected messages.

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
icon
Related questions
Question

Assume that a cryptographic checksum function computes hashes of 128 bits. Prove that the probability is 0.5 that at least one collision will occur after hashing 264 randomly selected messages.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Public key encryption
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education

Expert Answers to Latest Homework Questions

Q: EM Waves  Problem 11:   The electric field in an electromagnetic wave is in the y-direction and…
Q: EM Waves Problem 4:   Radio waves travel through air at approximately the speed of light, c. Imagine…
Q: Download the file interceptor.ipynb. Instructions how to download notebook files are posted here.…
Q: step by step calculations with clear explanations please
Q: step by step calculations please
Q: step by step calculations please
Q: step by step calculations please
Q: step by step calculations with clear explainations please
Q: 1.  Which of the following characteristics of a sole proprietorship would be considered a…
Q: a) find Kp, Kv , and Kab) find the steady state error for inputsi) r(t) = 10 u(t)ii) r(t) = 5 t…
Q: a) Find the Open-Loop Transfer function G(s). Express the function as a ratio of polynomials in s.b)…
Q: Closed-loop (CL) system, use the Routh-Hurwitz Criterion to findthe range of gain K that will cause…
Q: An event occurred in country C. The effects of the event can be described by the following AD-AS…
Q: Does this histogram resemble a Gaussian distribution? Why should it?
Q: Bergo Bay's accounting system generated the following account balances on December 31. The company's…
Q: 1. How can first or second-order circuits be identified by inspecting the circuits? 2. How can an…
Q: eforage.com/virtual-experience/PZzm2ZTanL28Nqjqm/bclp/intervi uccess-awBIH) Create a cover letter…
Q: An airplane flies horizontally from east to west at 284 mi divided by hr284 mi/hr relative to the…
Q: Create a model resume for your dream law firm tailoring your resume to highlight what makes you the…
Q: Help please! You have land that you would like to use to create two distinct fenced-in areas in the…
Q: An airplane flies horizontally from east to west at 274 mi divided by hr relative to the air. If it…