time complexityalgorithmic problemscombinatorial group theorybinary operationsMotivated by algorithmic problems from combinatorial group theory we study computational properties of integers equipped with binary operations +, -, z = x u22c5 2y, z = x u22c5 2-y (the former two are partial) and ...
DESCRIPTION: The program computes exponentiation of a given base using an iterative algorithm. It measures the time taken for exponentiation for different values of the exponent. The data collected is used to analyze the time complexity of the iterative exponentiation algorithm. GRAPH: TIME COMPLEXITY:...
Merge Sort Algorithm is considered as one of the best sorting algorithms having a worst case and best case time complexity ofO(N*Log(N)), this is the reason that generally we prefer tomerge sortover quicksort as quick sort does have a worst-case time complexity ofO(N*N). ...
First of all, let's understand what time complexity actually means. Formal definitions aside, we can say that if a code is O(f(n)), the time consumption of that code should be something like C*f(n)+S where C is a constant and S is something small compared to the rest. So let's...
Bubble sort's time complexity in both of the cases (average and worst-case) is quite high. For large amounts of data, the use of Bubble sort is not recommended.The basic logic behind this algorithm is that the computer selects the first element and performs swapping by the adjacent ...
OTS schemes are time-efficient, but their space complexity is high: the sizes of signatures and keys are linear in the message size. Regular schemes (e.g., based on discrete logarithm or factoring problems, and their variants), however, have very low space complexity but are not time-...
For instance, the class Ptime is the set of predicates over binary words that can be decided by a Turing machine whose execution time is bounded by a polynomial in the size of its input. One of the main motivations for an implicit computational complexity (ICC) theory is to find machine-...
This theore- tical proposal indicates the role nanophotonics is poised to play in reducing the complexity of the synthesis system, potentially without recourse to filtering strategies. Finally, efforts in the near future will be directed to reducing the spectral uncertainty δλ and concomitantly ...
It is therefore an object of the invention to provide an efficient BCH encoder and decoder which achieves substantial reductions in decoding time and overall complexity. Another object of the invention is to provide an improved BCH decoder which utilizes three parallel processors for the three major...
The algorithm complexity is suitable even for a device having limited resources such as an IoT device. To achieve high performance on an FPGA, a variety of optimization techniques, including algorithmic reformulation and architectural optimization, are used. On a Xilinx Virtex-7 FPGA, our design ...