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Efficient multiplication for finite fields of p characteristic
Published 2009-01-01“…Based on residue arithmetic,a new form of polynomial named PAPB in Fp[x] had been constructed.The amount and distribution of such irreducible polynomials had also been investigated.Then,an efficient algorithm for multiplication modulo PAPB had been proposed using residue arithmetic and Chinese remainder theorem.In the end,the result analysis was given.The theoretic analysis and simulation experiment show that for some finite field of medium prime characteristic,the given algorithm only costs O(k1.5) operations in Fp while the multiplication modulo irreducible binomial cost O(k2) operations,which shows a better performance.As a result,the work presents an interesting perspective for optimal extension field and elliptic curve cryptography.…”
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An efficient algorithmic framework to minimize the summand matrix in binary multiplication
Published 2025-10-01Subjects: “…Binary multiplication…”
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EDSM:secure and efficient scalar multiplication algorithm on Edwards curves
Published 2008-01-01“…Investigate the secure and efficient algorithm for scalar multiplication on Edwards curves.First,several new addition and doubling formulas were proposed.Analysis shows that our new formulas are more efficient than existed formulas.Then a new scalar multiplication algorithm was forwarded,called EDSM algorithm.Finally,our EDSM algo-rithm with the improved Montgomery method and other existed secure and efficient algorithms were compared.Experi-mental results show that our EDSM(scalar multiplication on Edwards curve) algorithm make great improvements in as-pects of efficiency and security.…”
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Efficient Big Integer Multiplication and Squaring Algorithms for Cryptographic Applications
Published 2014-01-01“…We present a modified version of the classical multiplication and squaring algorithms based on the Big-ones to improve the efficiency of big integer multiplication and squaring in number theory based cryptosystems. …”
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SpDRAM: Efficient In-DRAM Acceleration of Sparse Matrix-Vector Multiplication
Published 2024-01-01“…We introduce novel sparsity-aware in-DRAM matrix mapping techniques and a corresponding DRAM-based acceleration framework, termed SpDRAM, which utilizes a triple row activation scheme to efficiently handle sparse matrix-vector multiplication (SpMV). …”
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A Communication-Efficient Distributed Matrix Multiplication Scheme with Privacy, Security, and Resiliency
Published 2024-08-01Get full text
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Efficiency improvement of Juniper trees mass propagation through in vitro shoot multiplication
Published 2025-04-01Get full text
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Area-Time-Efficient Secure Comb Scalar Multiplication Architecture Based on Recoding
Published 2024-10-01“…Based on this, the data dependency is considered and the comb architecture is optimized to achieve a uniform and efficient execution pattern. The interleaved modular multiplication algorithm and modified binary inverse algorithm are used to achieve short clock cycle delay and high frequency while taking into account the need for a low area. …”
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Design of an efficient and reconfigurable 1 024 bit large numbers multiplier
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Efficient Scalar Multiplication of ECC Using Lookup Table and Fast Repeating Point Doubling
Published 2025-03-01“…This study proposes an efficient scalar multiplication method for elliptic curves over finite fields <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>G</mi><mi>F</mi><mo stretchy="false">(</mo><msup><mn>2</mn><mi>m</mi></msup><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>. …”
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A Resource-Efficient Edwards25519 Point Multiplication Technique for Resource-Constrained Devices
Published 2025-01-01“…These results highlight the method’s efficiency, providing an optimal balance of speed, memory utilization, and security for constrained microcontroller applications.…”
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Efficient Protocol to Discriminate Multiple Ballistic Targets
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Compact 8-Bit S-Boxes Based on Multiplication in a Galois Field <i>GF</i>(2<sup>4</sup>)
Published 2025-04-01Subjects: Get full text
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The Impact of Director’s Multiple Positions on Investment Efficiency Decisions
Published 2021-04-01“…There are differences in research results regarding the impact of a director’s busyness due to multiple positions, so this study aims to examine the relationship between director busyness and investment efficiency decisions from the perspective of the upper echelons theory. …”
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MELATONIN EFFICIENCY IN MULTIPLE TREATMENT OF ABNORMAL UTERUS BLEEDING
Published 2016-06-01Get full text
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Efficiency of pomalidomide therapy in patients with multiple myeloma refractory to lenalidomide
Published 2019-04-01Get full text
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Efficient Reordering of Multiple Memory Operations in a Multithreaded Program
Published 2024-03-01Get full text
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