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- **GIVEN MESSAGE IS CAB2; IT IS NOT AB12**This homework relates to hash functions for block ciphers (sec 11.3.2) Block size = 8 bits Hash size = 8 bits Encryption function: Divide the key into two halves: LK and RK; Divide the plaintext into twohalves: LT and RT; Then ciphertext= LC||RC where LC=LK XOR RT; and RC = RK XOR LT;where LC, RC, LT, and RT are each 4 bits; Plaintext and ciphertext are each 8 bits. g(H) = an 8-bit string that is equal to the complement of bits in H; For example, if H=A3 (Hexa)= 10100011 (binary); then g(H)= 01011100 H0 = Initial hash = 11001010Given a message m: CAB2 (in Hexa);Q1. Determine the hash (in hexadecimal) of the message M using Martyas-Meyer-Oseas hashfunction (Fig. 11.7).Q2. Determine the hash (in hexadecimal) of the message M using Davis-Meyer hash function(Fig. 11.6)Q3. Determine the hash (in hexadecimal) of the message M using Migayuchi-Preneel hashfunction (Fig. 11.6) **GIVEN MESSAGE IS CAB2; IT IS NOT AB12****GIVEN MESSAGE IS CAB2; IT IS NOT AB12**This homework relates to hash functions for block ciphers (sec 11.3.2) Block size = 8 bits Hash size = 8 bits Encryption function: Divide the key into two halves: LK and RK; Divide the plaintext into twohalves: LT and RT; Then ciphertext= LC||RC where LC=LK XOR RT; and RC = RK XOR LT;where LC, RC, LT, and RT are each 4 bits; Plaintext and ciphertext are each 8 bits. g(H) = an 8-bit string that is equal to the complement of bits in H; For example, if H=A3 (Hexa)= 10100011 (binary); then g(H)= 01011100 H0 = Initial hash = 11001010Given a message m: CAB2 (in Hexa); Q.3 Determine the hash (in hexadecimal) of the message M using Migayuchi-Preneel hashfunction (Fig. 11.6)Python Why am I still getting an error? # Problem 1# Implement a hashtable using an array. Your implementation should include public methods for insertion, deletion, and# search, as well as helper methods for resizing. The hash table is resized when the loadfactor becomes greater than 0.6# during insertion of a new item. You will be using linear probing technique for collision resolution. Assume the key to# be an integer and use the hash function h(k) = k mod m where m is the size of the hashtable. class HashTableProb: def __init__(self, size=10): # Initialize the hashtable with the given size and an empty array to hold the key-value pairs. self.__size = size # size of the hashtable self.__hashtable = [None for _ in range(size)] self.__itemcount = 0 # Keeps track of the number of items in the current hashtable def __contains__(self, key): return self.__searchkey(key) def __next_prime(self, x): def is_prime(x): return…
- Why is it giving me an error and what do I have to change? PYTHON # Problem 2# Implement a hashtable using an array. Your implementation should include public methods for insertion, deletion, and# search, as well as helper methods for resizing. The hash table is resized when the max chain length becomes greater# than 3 during insertion of a new item. You will be using linear chaining technique for collision resolution. Assume# the key to be an integer and use the hash function h(k) = k mod m where m is the size of the hashtable. You can use# python list methods in your implementation of the chain or you can also use your linked list implementation from# coding assignment 2, problem 1. You can make necessary changes to __hashtable initialization in the __init__ method# if you are using your linked list implementation. The provided code uses python lists for the __hashtable variable. class HashTableChain: def __init__(self, size=10): # Initialize the hashtable with the given…PYTHON Why am I getting an error and it doesn't show the right output? Problem 1# Implement a hashtable using an array. Your implementation should include public methods for insertion, deletion, and# search, as well as helper methods for resizing. The hash table is resized when the loadfactor becomes greater than 0.6# during insertion of a new item. You will be using linear probing technique for collision resolution. Assume the key to# be an integer and use the hash function h(k) = k mod m where m is the size of the hashtable. class HashTableProb: def __init__(self, size=10): # Initialize the hashtable with the given size and an empty array to hold the key-value pairs. self.__size = size # size of the hashtable self.__hashtable = [None for _ in range(size)] self.__itemcount = 0 # Keeps track of the number of items in the current hashtable def __contains__(self, key): return self.__searchkey(key) def __next_prime(self, x): def…Class HashTable: Implement a hash table to store integers (including negative ones). stored in the table int[] data. Use the hash function: h(x) = (x · 701) mod 2000. The table size is 2000. Ensure non-negative indices between 0 and 1999. Implement the following methods: insert(int key): Inserts the integer into the table. Returns true if successful, false if the element is already in the table. search(int key): Searches for the integer in the table. Returns true if found, false otherwise. delete(int key): Deletes the integer from the table. Returns true if successful, false otherwise. Class HashTable2: Implement a second hash table using a different hash function and collision resolution strategy. Keys are integers (including negative ones). Use the hash function: ℎ(�)=(�⋅53)mod 100h(x)=(x⋅53)mod100. The table size is 100. Ensure non-negative indices between 0 and 99. Implement the following methods: insert(int key): Inserts the integer into the table. Returns true if…
- Q: Hash table is a data structure in which keys are mapped to array positions by a hash function. Theprocess of mapping the keys to appropriate locations in a hash table is called hashing. Hash functions areused to reduce the number of collisions.i. Mention the methods to minimize collision.ii. Explain the advantage of using double hashing over linear and quadratic probing techniques.iii. Load the keys given below in a hash table of size 7 in the same order using chaining with thehash function h(key)= key % 7. Show graphically how collisions are resolved using chainingin this particular case.12, 101, 3, 21, 14, 13, 16, 7, 141Course: Data Structure and Algorithms Language: Java Kindly something and Answer in 1 hour. Read Carefully and give answer with all necesary details. See the image for askii codes. Question6: In this Problem, you are required to insert some keys into a hash table, using given hash functions. You have to Draw a Hash table with the inserted keys. Write total number of collisions encountered when a particular collision resolution technique is used. size= 13, H(X) = sum of Ascii codes of key % HTSIZE Keys: Mia, Bea, Zoe, Jan, Ada, Sam, Leo, Meo, Ben, Tim, Ted, Zod Use Linear probing: H’(X) = [H(X) +f(i))] % HTSIZE where f(i)=i where i=0,1,2,….- In class HashTable implement a hash table and consider the following:(i) Keys are integers (therefore also negative!) and should be stored in the tableint[] data.(ii) As a hash function take h(x) = (x · 701) mod 2000. The size of the table istherefore 2000. Be careful when computing the index of a negative key. Forexample, the index of the key x = −10 ish(−10) = (−7010) mod 2000 = (2000(−4) + 990) mod 2000 = 990.Hence, indices should be non-negative integers between 0 and 1999!(iii) Implement insert, which takes an integer and inserts it into a table. Themethod returns true, if the insertion is successful. If an element is already inthe table, the function insert should return false.(iv) Implement search, which takes an integer and finds it in the table. The methodreturns true, if the search is successful and false otherwise.(v) Implement delete, which takes an integer and deletes it form the table. Themethod returns true, if the deletion is successful and false otherwise.(vi)…
- Assume a hash table utilizes an array of 13 elements and that collisions are handled by separate chaining. Considering the hash function is defined as: h(k)=k mod 13. i) Draw the contents of the table after inserting elements with the following keys: 36, 243, 261, 180, 217, 180, 21, 16, 182, 202, 91, 97, 166, 78, 33, 70, 51, 58.Task - 1: Write a java program to implement the following algorithms for Open Addressing techniques for Hash Table data structure. (Use a simple array of integers to store integer key values only). HASH-SEARCH(T, k) HASH-INSERT (T, k) i = 0 repeat j = h (k, i) if T[j] == NIL T[j] = k return j else i = i + 1 ● i = 0 repeat until i == m error “hash table overflow" For both algorithms, to compute the index j, write the following methods: getLinear ProbIndex (key, i) getQuadraticProbIndex ● get DoubleHash (key, i) (key, i) j = h (k, i) if T[j] == k return j i = i + 1 until T[j] == NIL or i = m return NIL Linear Probing index is computed using following hash function: h(k, i) = (h₁(k) + i) mod m h₁(k)= k mod m Quadratic probing index is computed using following hash function: h(k, i) = (h₁(k) + i²) mod m h₁(k)= k mod m Double hashing index is computed using following hash function: h(k, i) = (h₁(k) + i h₂(k)) mod m h₁(k)= k mod m h₂(k) = 1 + (k mod m - 1)91. If the global depth in extendible hashing is equal to local depth then the operation must be performed in directory array is a. adding b. subtracting c. halving d. doubling