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    Efficient multiplication for finite fields of p characteristic by LI Yin 1, CHEN Gong-liang1, LI Jian-hua1

    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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    EDSM:secure and efficient scalar multiplication algorithm on Edwards curves by ZHANG Bao-hua1, YIN Xin-chun2, ZHANG Hai-ling2

    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 by Shahram Jahani, Azman Samsudin, Kumbakonam Govindarajan Subramanian

    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 by Jieui Kang, Soeun Choi, Eunjin Lee, Jaehyeong Sim

    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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    Area-Time-Efficient Secure Comb Scalar Multiplication Architecture Based on Recoding by Zhantao Zhang, Weijiang Wang, Jingqi Zhang, Xiang He, Mingzhi Ma, Shiwei Ren, Hua Dang

    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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    Efficient Scalar Multiplication of ECC Using Lookup Table and Fast Repeating Point Doubling by Fu-Jung Kan, Yan-Haw Chen, Jeng-Jung Wang, Chong-Dao Lee

    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 by Nawras H. Sabbry, Alla Levina

    Published 2025-01-01
    “…These results highlight the method&#x2019;s efficiency, providing an optimal balance of speed, memory utilization, and security for constrained microcontroller applications.…”
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    The Impact of Director’s Multiple Positions on Investment Efficiency Decisions by Elysabet Christy Diandra Selano

    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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