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ZOT-MK: a new algorithm for big integer multiplication[QA75].
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Zot-mk: A New Algorithm For Big Integer Multiplication
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ZOT -Mk: A New Algorithm For Big Integer Multiplication
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On the sequences ri, si, ti ∈ ℤ related to extended Euclidean algorithm and continued fractions
Published 2016“…The extended Euclidean Algorithm is a practical technique used in many cryptographic applications, where it computes the sequences ri, si, ti ∈ ℤ that always satisfy ri = si a+ tib. …”
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Automatic security evaluation of SPN-structured block cipher against related-key differential using mixed integer linear programming
Published 2019“…The extended MILP technique is able to provide an automatic security estimation tool by giving accurate results. Overall, it is applicable to an extensive variety of block cipher algorithm that makes it an adaptable tool for industrial purposes and scholarly research.…”
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Optimizing tree planting areas through integer programming and improved genetic algorithm
Published 2012“…Therefore, a hybrid algorithm through an incorporation of Integer Programming and Improved Genetic Algorithm was proposed for planting lining design. …”
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A new cryptographic algorithm based on decomposition problem in elliptic curve cryptography / Hilyati Hanina Zazali
Published 2012“…The third algorithm describes the application of Decomposition Problem to the signing and verifying digital messages in ECC. …”
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Multi-base number representation in application to scalar multiplication and pairing computation
Published 2011“…In this work, an extension of Greedy algorithm called xGreedy, is proposed. It finds the best approximated powers of each base to be used to convert large integers to new addition chains. …”
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A New Cryptosystem Based on Decimal Numbers and Nonlinear Function
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An effective strategy for unit commitment of microgrid power systems integrated with renewable energy sources including effects of battery degradation and uncertainties
Published 2025“…Therefore, in this study, a new variant of mixed-integer particle swarm optimizer is introduced as a reliable optimization framework to handle the UC problem. …”
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Hardware architecture of OFCE-HS for hardware implementation
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Determination of a good indicator for estimated prime factor and its modification in Fermat’s Factoring Algorithm
Published 2021“…Fermat’s Factoring Algorithm (FFA) is an integer factorisation methods factoring the modulus N using exhaustive search. …”
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An Efficient Genetic Algorithm for Large Scale Vehicle Routing Problem Subject to Precedence Constraints
Published 2015“…In order to obtain feasible solution which does not violate precedence constraints, a route repair based topological sort technique is used and integrated in the genetic algorithm procedure. In this paper, a new algorithm is developed and the performances as well as the quality of the solution were evaluated against large scale test problems. …”
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B-Parts Of Real Numbers And Their Generalization
Published 2010“…(b) Application of b-parts for unique finite and infinite representation of real numbers, applying them and the generalized division algorithm, we not only introduce some direct formulas for digits of the unique infinite expansion of real numbers to the base an integer but also prove a (new) unique finite representation of real numbers to the base an arbitrary real number (not equal 0, ±1). …”
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