Consider DHKE over GF(25) with P(x) = x5+x2+1 being an irreducible polynomial. The primitive element for the DH is α = x2. The private keys are a = 3 and b = 12. What is the shared key kab? If possible, a good explaination on this is done would be appreciated. Thank you.

Write the general form of the ARIMA(2, 2, 1) model. Write out the polynomials in full.

Let's say the length of a hash table is 14, and the hash algorithm is h(key)=key%11. What would happen? Only four nodes are present in the table: H(15)=4, H(38)=5, H(61)=6, and H(84)=7; the other locations are blank. In the scenario when the linear detection approach is used to resolve the dispute, what is the address of node 49? 0 8 3 Nothing Mentioned Herein

When it comes to Map ADT, what are the primary distinctions between a solution that is based on a tree and an approach that is based on a hash? What are the positives and negatives associated with each option?

Question 4: Consider two recurrence relations P(n) = 2P(n/2) +n and Q(n) = 4Q (n/4) +2n. What is the relationship between P and Q? Is P = O(Q), P = N(Q), or P = O(Q)? Prove your answer using limit of ratio definition of asymptotic notations.

Please help me with this. I am having trouble understanding how to do this

Please help me solve this question. Kindloy help explain into detail and type answers. Thanks a lot.  Write out truth tables for:(a) ¬(p ∧ q)(b) (p ∨ q) → r(c) ¬r → ((¬p) ∧ (¬q))

Use the standard process we saw in class to derive an NFA from the RE ((a∗bc)∗)∗, and then use the subset algorithm to give an equivalent DFA. Either formalizing the DFA/NFA or diagramming them clearly will be sufficient. The final DFA should be labled with sets of NFA states.

What are the key differences between a tree-based solution and a hash-based approach when it comes to Map ADT? What are the advantages and disadvantages of both?

Evaluate the utility of using primitive types for Integer andDouble values, for LinearProbingHashST and RedBlackBST. How much space andtime are saved, for large numbers of searches in large tables?