An efficient algorithm to mine frequent itemsets is crucial for mining association rules. Most of the previously used algorithms have generally been developed for using the computational time effectively, reducing the number of candidate itemsets and decreasing the number of scan in the database. However, the time can be reduced by aggregate transactions having similar itemsets. This paper, then proposes an efficient algorithm for mining frequent itemsets without generating candidate itemsets called FIAST (Frequent Itemsets Algorithm for Similar Transactions). The algorithm uses a divide-and-conquer method to reduce the task into the bitwise AND operation for finding itemsets and uses a depth-first search strategy to generate all frequent itemsets. The time complexity is analyzed by mathematical proof.

Cryptographic algorithms consist of two parts, a key and an algorithm, to encrypt and decrypt data. The key is an essential part that works with the algorithm. The security of encryption schemes depends on the key size (key length) and the longer the key, the better the security it provides. Applying an elliptic curve has for key agreement provides a high-performance architecture and high security. The main process for calculating key points in Elliptic Curve Cryptography (ECC) is called scalar multiplication, which relates to point addition and point doubling. An efficient algorithm, proposed as the Large Scalar Multiplication Algorithm using Modified Pell Numbers (LSMA-MPN), was introduced to speed up the calculation of points on elliptic curves during large scalar multiplications. This system also reduced computation time by applying Modified Pell numbers in a 22 matrix representation. The experimental results showed that computation time was reduced by approximately 67% in comparison with the computation time required by a general algorithm.

No abstract

No abstract