Question:

1) Please select all the valid statements about Public-Key Cryptography:

a. Public-key encryption is more secure than secret-key encryption.

b. Public-key encryption is asymmetric encryption.

c. Public-key encryption is more efficient than secret-key encryption.

d. Distributing public keys is trivial.

2) Please select all the valid statements about the uses of public-key cryptosystems:

a. To provide authentication and digital signature, a receiver's public key is used to encrypt a message.

b. To provide authentication and digital signature, a sender's private key is used to encrypt a message.

c. To provide confidentiality, a sender's private key is used to encrypt a message.

d. To provide confidentiality, a receiver's public key is used to encrypt a message.

3) The essential public-key cryptography requirements basically state that a suitable trap-door one-way function is needed in a practical public-key cryptographic scheme.

a. True

b. False

4)In RSA, which of the following should not be known by attackers?

Value of n

Value of (n)

Value of e

Value of p or q

Value of d

5) In RSA, when the owner the key pair derives the private key d using the extended Euclid's algorithm with ax+by=1, which of the following statements about a, b, x, and y are valid:

a. a is n

b. b is e

c. b is (n)

d. a is (n)

e. x will be the derived private key d

f. y will be the derived private key d

\fCanonical Forms and State Space Transformation. Please fincl the reachable canonical form and observable canonical form for the following transfer functions Problem 1: Canonical Forms and State Space Transformation 1] Please find the reachable canonical form and observable canonical form for the following transfer function Hlfsj gig 2] Please find the reachable canonical form and observable canonical form for the following transfer function Hsfs] w. 3] For H1[s} described in I], please find a transformation matrix that transforms the states from the chem-arable canonical form to the rtslchable canonical form. 1} Determining State Equation The transfer function of a linear system is given by 12(s + 1) am = 3(3 + 3x: + 2)2 Write the state equations in a] The Controllable Canonical form b) The Observable Canonical form :1 Can you write It in Diagonal Canonical form. Why? {1) If your answer to part c is NO, please find closest form to diagonal Canonical form. [Namely Jordan Canonical Form} 4 pts Question 7 If you know the values of a quantitative Y and five quantitative X's, then in an attempt to predict Y you can use if you have a linear model and if you do not. Repression Trees Logistic Regression Regression Neural Networks Exponential Smoothing Moving Averages Classification Trees Regression Trees 4nts