If an efficient algorithm for factoring large numbers is discovered, which of the following schemes will be known to be not securea.Noneb.RSAc.DESd.AES
Question
If an efficient algorithm for factoring large numbers is discovered, which of the following schemes will be known to be not securea.Noneb.RSAc.DESd.AES
Solution
If an efficient algorithm for factoring large numbers is discovered, the RSA (Rivest-Shamir-Adleman) encryption scheme will be known to be not secure.
Here's why:
RSA is a public-key encryption system that is widely used to secure sensitive data, especially when it is sent over an insecure network like the internet. The security of RSA is based on the fact that, while it is easy to multiply large numbers together, it is difficult to factorize a large number into two prime numbers.
If an efficient algorithm for factoring large numbers is discovered, it would mean that an attacker could potentially determine the two prime numbers that make up the RSA public key. With these two numbers, they could then calculate the RSA private key, which would allow them to decrypt any data encrypted with the corresponding public key.
Therefore, the discovery of such an algorithm would render RSA insecure.
On the other hand, DES (Data Encryption Standard) and AES (Advanced Encryption Standard) are symmetric key encryption algorithms, which do not rely on the difficulty of factoring large numbers, so they would not be directly affected by such a discovery.
Similar Questions
In the context of cryptography, why are prime numbers particularly important for algorithms such as the RSA cryptosystem?AThey simplify the process of key generationBThey provide a basis for strong encryption by utilizing the difficulty of factoring large composite numbersCThey ensure faster encryption and decryption processesDThey allow for easy key distribution among users
Problem StatementAnna is working on a program to find common factors of two unsigned integers. Design a program that:Takes two unsigned integers: n1 and n2, as input.Identifies and prints all common factors of these numbers.For example, Let us take two numbers 24 and 36. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 36. The common factors of 24 & 36 are 1,2,3,4,6,12 Ensure the program accurately identifies common factors, providing correct results for various inputs.Input format :The input consists of two unsigned integers n1 and n2 separated by a space.Output format :The output prints the common factors of n1 and n2, separated by a space.
Problem StatementAnna is working on a program to find common factors of two unsigned integers. Design a program that:Takes two unsigned integers: n1 and n2, as input.Identifies and prints all common factors of these numbers.For example, Let us take two numbers 24 and 36. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 36. The common factors of 24 & 36 are 1,2,3,4,6,12 Ensure the program accurately identifies common factors, providing correct results for various inputs.Input format :The input consists of two unsigned integers n1 and n2 separated by a space.Output format :The output prints the common factors of n1 and n2, separated by a space.Refer to the sample output for formatting specifications.Code constraints :In this scenario, the given test cases fall under the following constraints:1 ≤ n1, n2 ≤ 100Sample test cases :Input 1 :24 36Output 1 :1 2 3 4 6 12 Input 2 :2 2 Output 2 :1 2 Input 3 :100 100Output 3 :1 2 4 5 10 20 25 50 100 Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.
Factorise 81−25m2 completely.
Why are prime numbers so important for cryptography?APrimes are important because the security of many encryption algorithms are based on the fact that it is very difficult to multiply two large prime numbers and get the result, while it is easy to factorize themBPrimes are important because the security of many encryption algorithms are based on the fact that it is very fast to multiply two large prime numbers and get the result, while it is extremely difficult to factorize themCPrimes are important because the security of many encryption algorithms are based on the fact that it is very difficult to multiply two large prime numbers and get the result, and also it is extremely difficult to factorize themDPrimes are important because the security of many encryption algorithms are based on the fact that it is very easy to multiply two large prime numbers and get the result, and it is also extremely easy to factorize them
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