Mathematical study of some enciphering systems: the knapsack, in French, Doctor’s thesis, Université de Rennes, France Google Scholar Pohlig SC, Hellman ME (1978) An improved algorithm for computing logarithms over GF(p) and its cryptographic significance. IEEE Trans Inform Theory 24(1):106...
Finally, we consider explicit heuristic attacks based on the LLL algorithm and we prove that with respect to these attacks, the public key is as secure as a random key.doi:http://dx.doi.org/Evain, LaurentEprint ArxivKnapsack cryptosystems built on NP-hard instances. Cryptology ePrint ...
As a diversion we return in this chapter to another (once) promising public-key encryption scheme using a trap-door function:Knapsack encryption. It, too, is based on residue arithmetic, but uses multiplication rather than exponentiation, making it easier to instrument and theoretically more transpa...
Thedecision problemform of the knapsack problem is the question "can a value of at leastVbe achieved without exceeding the weightW?" This is a dynamic-programming algorithm implementation for solving thethe 0-1 Knapsack Problemin C. Further explanation is givenhere. 代码 This is the classic Gre...
found real-world scenarios like resource allocation in financial constraints or even in selecting investments and portfolios. It also can be found in fields such as applied mathematics, complexity theory, cryptography, combinatorics and computer science. It is easily the most important problem in ...
Quantum and Evolutionary computation are new forms of computing by their unique paradigm for designing algorithms.The Shors algorithm is based on quantum concepts such as Qubits, superposition and interference which is used to solve factoring problem that has a great impact on cryptography once the ...
Write permissions in the directory, because a .csv file will be generated gcc to compile the .c file To compile the algorithm: gcc knapsack.c -o knapsack ./knapsack 🚀 Usage Navigate to the directory containing the project. Generate a dataset using: python3 generateData.py Run the program...
In general, the modular knapsack problem can be solved using a lattice reduction algorithm, when its density is low. The complexity of lattice reduction algorithms to solve those problems is upper-bounded in the function of the lattice dimension and the maximum norm of the input basis. In the...
The complexity of this algorithm depends exponentially on n, where n is the number of modular factors of f. This exponential time complexity is due to a combinatorial problem: the problem of choosing the right subsets of these n factors. In this paper, this combinatorial problem is reduced to...
The pigeon-inspired optimization algorithm is a category of a newly proposed swarm intelligence-based algorithm that belongs to the population-based solution technique. The MKP is a class of complex optimization problems that have many practical applications in the fields of engineering and sciences. ...