Given a number N, the output should be the all the prime numbers which is less than N. The solution is calledSieve of Eratosthenes: First of all, we assume all the number from 2 to N are prime number (0 & 1 is not Prime number). According to the Primse number defination that Prim...
Prime-number algorithm for public-key systemsABSTRACT Without Abstractdoi:10.1007/BF02366625A. M. KudinKluwer Academic Publishers-Plenum PublishersCybernetics and Systems Analysis
668.Kth-Smallest-Number-in-Multiplication-Table (H-) 719.Find-Kth-Smallest-Pair-Distance (H-) 1918.Kth-Smallest-Subarray-Sum (M+) 2040.Kth-Smallest-Product-of-Two-Sorted-Arrays (H-) 1439.Find-the-Kth-Smallest-Sum-of-a-Matrix-With-Sorted-Rows (H) 786.Kth-Smallest-Prime-Fraction (H-...
in cloud environment (Chenet al., 2017). A novel approach to balance the workload among the VMs has been proposed by M. Kumar and S.C. Sharma (Kumar and Sharma, 2017b) that improve the makespan time as well resource utilization in cloud computing. Priority based scheduling: Most of the...
Generating the public and private key pair is the most complex part of RSA cryptography. Two large prime numbers, p and q, are generated using the Rabin-Miller primality test algorithm. A modulus, n, is calculated by multiplying p and q. This number is used by both the public and private...
An approximation of a Nash equilibrium is called\epsilon-Nash equilibrium, which is formalized in an example of two player game below: u_{1}(\sigma)+\epsilon \geq \max {\sigma{1}^{\prime} \in \Sigma_{1}} u_{1}\left(\sigma_{1}^{\prime}, \sigma_{2}\right) \quad u_{2}(...
A memory error occurs if there is a loss of information during a qubit time unit. There is an interesting relationship between parallelism and memory errors. If t is the longest interval of time a qubit can be in storage without any significant loss of information and q is the number of ...
ensuring the security of the digital signatures. However, Shor and others have found that a quantum algorithm can effectively solve the integer decomposition problem and the discrete logarithmic problem8, which are the critical parts of the encryption methods. In this case, the security of blockchai...
A complete, proof-of-concept, C# implementation of the General Number Field Sieve algorithm for factoring very large semi-prime numbers. The focus was on readability and understandability of the code, not performance. Topics cryptography csharp math mathematics numerics number-theory factoring-integers...
Second, the broadcasting process of the PBFT three-stage protocol requires network-wide forwarding with great communication overhead, which seriously affects the performance of the consortium chain. Finally, the C/S architecture used in the PBFT algorithm cannot dynamically sense the number of nodes....