EECS 70 Discrete Mathematics and Probability Theory Fall 2020 1 Modular Arithmetic Note 6 In several settings, such as error-correcting codes and cryptography, we sometimes wish to work over a smaller range of numbers. Modular arithmetic is useful in these settings, since it limits numbers to a prede- fined range {0, 1, . . . […]
EECS 70 Discrete Mathematics and Probability Theory Fall 2020 Note 7 This note is partly based on Section 1.4 of “Algorithms,” by S. Dasgupta, C. Papadimitriou and U. Vazirani, McGraw-Hill, 2007. Public Key Cryptography In this note, we discuss a very nice and important application of modular arithmetic: the RSA public-key cryptosystem, named after its
EECS 70 Discrete Mathematics and Probability Theory Fall 2020 Error Correcting Codes Note 9 In this note, we will discuss the problem of transmitting messages across an unreliable communication chan- nel. The channel may cause some parts of the message (“packets”) to be lost, or dropped; or, more seriously, it may cause some packets to
EECS 70 Discrete Mathematics and Probability Theory Fall 2020 Polynomials Note 8 Polynomials constitute a rich class of functions which are both easy to describe and widely applicable in topics ranging from Fourier analysis, cryptography and communication, to control and computational geom- etry. You’ve seen them earlier in many contexts like Taylor approximation and other
FORMATIVE 3 Remarks – Copy the file Formative3-Template.hs to a new file called Formative3.hs and write your solutions in Formative3.hs. Don’t change the header of this file, _including the module declaration_, and, moreover, _don’t_ change the type signature of any of the given functions for you to complete. – Solve the exercises below in the
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EECS 70 Discrete Mathematics and Probability Theory Fall 2020 Introduction to Discrete Probability Note 13 Probability theory has its origins in gambling — analyzing card games, dice, roulette wheels. Today it is an essential tool in engineering and the sciences. No less so in EECS, where its use is widespread in algorithms, systems, signal processing,
EECS 70 Discrete Mathematics and Probability Theory Fall 2020 Self-Reference and Computability Note 12 In this lecture we will explore the deep connection between proofs and computation. At the heart of this connection is the notion of self-reference, and it has far-reaching consequences for the limits of computation (the Halting Problem) and the foundations of
INTRODUCTION One of the most critical factors in customer relationship management that directly impacts a company¡¯s long-term profitability is customer attrition. When a company can better predict if a customer is likely to cut ties, it can take a more targeted approach to mitigate customer turnover. In this task, you will use Python, SAS, or
TRUE/FALSE QUESTIONS: T F 1. Symmetric encryption is used primarily to provide confidentiality. T F 2. Two of the most important applications of public-key encryption are digital signatures and key management. T F 3. Cryptanalytic attacks try every possible key on a piece of ciphertext until an intelligible translation into plaintext is obtained. T F
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Your student Number Introduction to computer Security Coursework – G6077 Contents Your student Number 1 Introduction to computer Security Coursework – G6077 1 Task1 5marks 3 Task2 5marks 4 Task3 5marks 5 Task 4 6 i) Implement your own algorithm that perform single or other levels of frequency analysis [5 marks] 6 ii) Algorithm works
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