CS255: Introduction to Cryptography
Winter 2015
Assignment #3: Solutions
Problem 1. (a) We have eeve deve = 1 (mod (N ). Thus, (N ) divides eeve deve 1.
(b) First, suppose ebob is relatively prime to
CS255: Cryptography and Computer Security
Winter 2015
Assignment #1
Due: Wednesday, Jan. 28, 2015, in class.
Problem 0 In class we explained that the one time pad is malleable. Lets see a concrete exa
CS255: Cryptography and Computer Security
Winter 2016
Assignment #1
Due: Wednesday, Jan. 27, 2016, by Gradescope (each answer on a seperate page)
Problem 1. In class we explained that the one time pad
CS255: Cryptography and Computer Security
Winter 2015
Assignment #3
Due: Friday, Mar. 13, 2015, by 5pm.
Problem 1. Lets explore why in the RSA public key system each person has to be assigned
a dieren
CS255: Cryptography and Computer Security
Winter 2015
Assignment #2
Due: Monday, Feb. 23, 2015, in class.
Problem 1. Merkle hash trees.
Merkle suggested a parallelizable method for constructing hash f
CS255: Introduction to Cryptography
Winter 2015
Assignment #2: Solutions
Problem 1. (a) Suppose we can nd two message/hash pairs M1 , h(M1 ) and M2 , h(M2 ) such that
M1 = M2 and h(M1 ) = h(M2 ). Then
CS255: Cryptography and Computer Security
Winter 2015
Assignment #1
Due: Wednesday, Jan. 28, 2015, in class.
Problem 0 In class we explained that the one time pad is malleable. Lets see a concrete exa
Cryptography and Computer Security
CS255
Very basic number theory fact sheet
Part I: Arithmetic modulo primes
Basic stu
1. We are dealing with primes p on the order of 300 digits long, (1024 bits).
2.
CS255: Cryptography and Computer Security
Winter 2017
Assignment #2
Due: Tue, Feb. 21, 2017, by Gradescope (each answer on a separate page).
Problem 1. Parallel Merkle-Damg
ard. Recall that the Merkle
CS255: Introduction to Cryptography
Winter 2015
Assignment #1: Solutions
Problem 0. Let m0 be the message attack at dawn and m1 be the message attack at dusk, and let
c0 , c1 be the corresponding ciph
Online Cryptography Course
Dan Boneh
Block ciphers
What is a block
cipher?
Dan Boneh
Block ciphers: crypto work
horse
nbits
PTBlock
nbits
CTBlock
E,D
Key
kbits
Canonicalexamples:
1.
3DES:n=64bits,k=16
Cryptography and Computer Security
CS255
Basic number theory fact sheet
Part II: Arithmetic modulo composites
Basic stu
1. We are dealing with integers N on the order of 300 digits long, (1024 bits).
CS255: Cryptography and Computer Security
Winter 2015
Assignment #3
Due: Friday, Mar. 13, 2015, by 5pm.
Problem 1. Lets explore why in the RSA public key system each person has to be assigned
a differ
This is a Chapter from the Handbook of Applied Cryptography, by A. Menezes, P. van
Oorschot, and S. Vanstone, CRC Press, 1996.
For further information, see www.cacr.math.uwaterloo.ca/hac
CRC Press has
This is a Chapter from the Handbook of Applied Cryptography, by A. Menezes, P. van
Oorschot, and S. Vanstone, CRC Press, 1996.
For further information, see www.cacr.math.uwaterloo.ca/hac
CRC Press has
This is a Chapter from the Handbook of Applied Cryptography, by A. Menezes, P. van
Oorschot, and S. Vanstone, CRC Press, 1996.
For further information, see www.cacr.math.uwaterloo.ca/hac
CRC Press has
This is a Chapter from the Handbook of Applied Cryptography, by A. Menezes, P. van
Oorschot, and S. Vanstone, CRC Press, 1996.
For further information, see www.cacr.math.uwaterloo.ca/hac
CRC Press has
This is a Chapter from the Handbook of Applied Cryptography, by A. Menezes, P. van
Oorschot, and S. Vanstone, CRC Press, 1996.
For further information, see www.cacr.math.uwaterloo.ca/hac
CRC Press has
This is a Chapter from the Handbook of Applied Cryptography, by A. Menezes, P. van
Oorschot, and S. Vanstone, CRC Press, 1996.
For further information, see www.cacr.math.uwaterloo.ca/hac
CRC Press has
CS 255 (INTRODUCTION TO CRYPTOGRAPHY)
DAVID WU
Abstract. Notes taken in Professor Bonehs Introduction to Cryptography course (CS 255) in Winter, 2012. There
may be errors! Be warned!
Contents
1. 1/11:
This is a Chapter from the Handbook of Applied Cryptography, by A. Menezes, P. van
Oorschot, and S. Vanstone, CRC Press, 1996.
For further information, see www.cacr.math.uwaterloo.ca/hac
CRC Press has
CS255: Cryptography and Computer Security
Winter 2016
Final Exam
Instructions:
Answer all six questions.
The exam is open book and open notes. Laptops are allowed with the network card turned
off. C
CS255: Introduction to Cryptography
Winter 2010
Programming Project #2
Due: Wednesday, March 10th, 2010, 11:59 pm
1
Overview
1.1
Introduction
For programming project 2, you will implement a man-in-the
CS61C Spring 2017
Discussion 6 Control and Pipelining
_
Single Cycle CPU Review
Single Cycle CPU Control Logic
Fill out the values for the control signals from the previous CPU diagram.
Instrs.
Contro
CS61C Discussion 3 MIPS II/CALL
1
Common MIPS Uses
Comment each snippet with what the snippet does. Assume that there is an array, int pi[6] = cfw_3, 1, 4, 1,
5, 9, which is stored beginning at memory
CS61C Spring 2017 Discussion 4 MIPS Procedures & CALL
1
MIPS Control Flow
2
Conventions
1. How should $sp be used? When do we add or subtract from $sp?
$sp points to a location on the stack to load or
CS61C Discussion 3 MIPS II/CALL
1
Common MIPS Uses
Comment each snippet with what the snippet does. Assume that there is an array, int pi[6] = cfw_3, 1, 4, 1,
5, 9, which is stored beginning at memory