Consider the elgamal scheme (described in section 10.2) with q = 11 and α = 6. a has a private key xa = 2 and public key ya = 3.

(a) b choses the random integer k = 3, and the plaintext b wants to encrypt is m = 6. show what will be calculations done by b to get the value of the ciphertext c1, c2.

(b) show what will be calculations done by a to recover the plaintext m from c1, c2. note that you first need to figure out what is the value of k.

Suppose you have 9 coins and one of them is heavier than others. other 8 coins weight equally. you are also given a balance. develop and algorithm to determine the heavy coin using only two measurements with the of the balance. clearly write your algorithm in the form of a pseudocode using the similar notation that we have used in the class to represent sorting algorithms

Select the correct answer. sean is a computer programmer. he has programmed an application for toddlers that plays nursery rhymes. however, a logic error has occurred in the program. which problem is a likely consequence of the error? a. the program crashes every time the user wants to play the nursery rhymes. b. the program crosses its buffer boundaries and overwrites an adjacent program. c. the program plays a different nursery rhyme than the one the user intended to play. d. the program shows different structures in its programming language code. e. the program introduces new viruses every time the user plays a nursery rhyme.

The output voltage of a power supply is assumed to be normally distributed. sixteen observations are taken at random on voltage are as follows: 10.35, 9.30, 10.00, 9.96, 11.65, 12.00, 11.25, 9.58, 11.54, 9.95, 10.28, 8.37, 10.44, 9.25, 9.38, and 10.85