Search Results - binary multiplication algorithms

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  1. 1

    Improved Modular Multiplication Algorithms Using Solely IEEE 754 Binary Floating-Point Operations by Sugizaki, Yukimasa, Takahashi, Daisuke

    ISSN: 2168-6750, 2168-6750
    Published: New York IEEE 01.07.2025
    “…In this paper, we propose three modular multiplication algorithms that use only the IEEE 754 binary floating-point operations…”
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    Journal Article
  2. 2

    Efficient Implementation of Karatsuba Algorithm Based Three-Operand Multiplication Over Binary Extension Field by Lee, Chiou-Yng, Fan, Chia-Chen, Xie, Jiafeng, Yuan, Shyan-Ming

    ISSN: 2169-3536, 2169-3536
    Published: Piscataway IEEE 01.01.2018
    Published in IEEE access (01.01.2018)
    “…Three-operation multiplication (TOM) over binary extension field is frequently encountered in cryptosystems such as elliptic curve cryptography…”
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    Journal Article
  3. 3

    A New Double Point Multiplication Algorithm and Its Application to Binary Elliptic Curves with Endomorphisms by Azarderakhsh, Reza, Karabina, Koray

    ISSN: 0018-9340, 1557-9956
    Published: New York IEEE 01.10.2014
    Published in IEEE transactions on computers (01.10.2014)
    “…We present a new double point multiplication algorithm based on differential addition chains…”
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    Journal Article
  4. 4

    Parallel and Regular Algorithm of Elliptic Curve Scalar Multiplication over Binary Fields by Li, Xingran, Li, Bao, Yu, Wei

    ISSN: 1939-0114, 1939-0122
    Published: Cairo, Egypt Hindawi Publishing Corporation 2020
    “… Inspired by this idea, we present a new parallel and efficient algorithm to speed up scalar multiplication…”
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    Journal Article
  5. 5

    Fast matrix multiplication for binary and ternary CNNs on ARM CPU by Trusov, Anton, Limonova, Elena, Nikolaev, Dmitry, Arlazarov, Vladimir V.

    ISSN: 2831-7475
    Published: IEEE 21.08.2022
    “… Binary neural networks (BNNs) are memory and computationally efficient as they require only one bit per weight and activation and can be computed using Boolean logic and bit count operations…”
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    Conference Proceeding
  6. 6

    An efficient bit reduction binary multiplication algorithm using vedic methods by Paramasivam, M.E., Sabeenian, R.S.

    ISBN: 1424447909, 9781424447909
    Published: IEEE 01.02.2010
    “…An efficient technique for multiplying two binary numbers using limited power and time is presented in this paper…”
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    Conference Proceeding
  7. 7

    Spatial-Temporal Transformation of Matrix and Multilayer Algorithms of Binary Number Multiplication by Gryga, Volodymyr, Kogut, Igor, Holota, Victor, Kochan, Roman, Rajba, Stanislaw, Gancarczyk, Tomasz, Iatsykovska, Uliana

    Published: IEEE 01.09.2019
    “…The paper conducted analysis of matrix and multilayer structures of algorithms for multiplication of binary numbers and determined their advantages and disadvantages…”
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    Conference Proceeding
  8. 8

    Inefficiency of common-multiplicand multiplication and exponentiation algorithms by performing binary complements by Yen, Sung-Ming, Lien, Wei-Chih, Moon, SangJae

    ISSN: 0096-3003, 1873-5649
    Published: New York, NY Elsevier Inc 01.06.2007
    Published in Applied mathematics and computation (01.06.2007)
    “…In order to speed up long integer modular multiplication and modular exponentiation computations that play the most important role of implementing public-key cryptographic systems, recently a result…”
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    Journal Article
  9. 9

    An efficient algorithmic framework to minimize the summand matrix in binary multiplication by Verma, Amit, Prateek, Manish, Shivhare, Shiv Naresh, Singh, Thipendra P., Kumar, Anuj, Ranjan, Rakesh, Priyadarshi, Rahul

    ISSN: 0005-1144, 1848-3380
    Published: Ljubljana Taylor & Francis Ltd 02.10.2025
    Published in Automatika (02.10.2025)
    “… To address these issues, we propose a novel binary multiplication algorithm that minimizes the number of required summands…”
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    Journal Article
  10. 10

    Binary operations on neuromorphic hardware with application to linear algebraic operations and stochastic equations by Iaroshenko, Oleksandr, Sornborger, Andrew T, Chavez Arana, Diego

    ISSN: 2634-4386, 2634-4386
    Published: United Kingdom IOP Publishing 01.03.2023
    Published in Neuromorphic computing and engineering (01.03.2023)
    “…Non-von Neumann computational hardware, based on neuron-inspired, non-linear elements connected via linear, weighted synapses—so-called neuromorphic systems—is…”
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    Journal Article
  11. 11

    High speed data encryption technique with optimized memory based RSA algorithm for communications by Budati, Anil Kumar, Snv, Ganesh, Cherukupalli, Kumar, P, Anil Kumar, Moorthy T, Venkata Krishna

    ISSN: 0305-6120, 1758-602X
    Published: Bradford Emerald Publishing Limited 16.08.2021
    Published in Circuit world (16.08.2021)
    “…Purpose The privacy of the information is a major challenge in the communication process. In the present modern generation, the cryptography plays a vital role…”
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    Journal Article
  12. 12

    A Multiplication-Free Binary Multipulse Modelling Algorithm Based On Simulated Annealing by Mumolo, E.

    ISSN: 0228-6203, 1925-7082
    Published: Anaheim, CA Taylor & Francis 01.01.1998
    “… The proposed algorithm aims at the detennination of a binary pulses excitation sequence according to a pulse positioning approach rather than to a codebook search as in CELP…”
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    Journal Article
  13. 13

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

    ISSN: 2072-666X, 2072-666X
    Published: Switzerland MDPI AG 07.10.2024
    Published in Micromachines (Basel) (07.10.2024)
    “… Elliptic curve scalar multiplication (ECSM) is the basic arithmetic in ECC. Based on this background information, we propose our own research objectives…”
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    Journal Article
  14. 14

    On the Field Multiplication Algorithms over Binary Extension Field Using Normal Basis by Minglong Qi, Luo Zhong, Qingping Guo

    ISBN: 9781424454099, 9780769539270, 1424454093, 0769539270
    Published: IEEE 01.12.2009
    “…We introduce some basic notions of the normal basis over binary extension fields, and establish a field multiplication algorithm using these bases…”
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    Conference Proceeding
  15. 15

    Fast parallel algorithms for binary multiplication and their implementation on systolic architectures by Sinha, B.P., Srimani, P.K.

    ISSN: 0018-9340
    Published: New York, NY IEEE 01.03.1989
    Published in IEEE transactions on computers (01.03.1989)
    “…Two algorithms for parallel multiplication of two n-bit binary numbers are presented…”
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    Journal Article
  16. 16

    Optimized Inference for 1.58-bit LLMs: A Time and Memory-Efficient Algorithm for Binary and Ternary Matrix Multiplication by Dehghankar, Mohsen, Erfanian, Mahdi, Asudeh, Abolfazl

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 10.11.2024
    Published in arXiv.org (10.11.2024)
    “… To address these challenges and make LLMs more accessible and cost-effective, in this paper, we propose algorithms to improve the inference time and memory efficiency…”
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    Paper
  17. 17

    Design of high performance 8 bit binary multiplier using vedic multiplication algorithm with 16 nm technology by Dey, Koyel, Chattopadhyay, Sudipta

    Published: IEEE 01.04.2017
    “… Motivated by this ancient mathematical system, a high speed low power 8-bit digital multiplier has been proposed in this paper based on Vedic multiplication algorithms with a very efficient low power 16 nm technology…”
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    Conference Proceeding
  18. 18

    High-Speed VLSI Multiplication Algorithm with a Redundant Binary Addition Tree by TAKAGI, N, YASUURA, H, YAJIMA, S

    ISSN: 0018-9340, 1557-9956
    Published: New York, NY IEEE 01.09.1985
    Published in IEEE transactions on computers (01.09.1985)
    “…A high-speed VLSI multiplication algorithm internally using redundant binary representation is proposed…”
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    Journal Article
  19. 19

    MatPIM: Accelerating Matrix Operations with Memristive Stateful Logic by Leitersdorf, Orian, Ronen, Ronny, Kvatinsky, Shahar

    ISSN: 2158-1525
    Published: IEEE 28.05.2022
    “… This paper vastly accelerates the fundamental operations of matrix-vector multiplication and convolution in the mMPU, with either full-precision or binary elements…”
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    Conference Proceeding
  20. 20

    A Low Hardware Consumption Elliptic Curve Cryptographic Architecture over GF(p) in Embedded Application by Hu, Xianghong, Zheng, Xin, Zhang, Shengshi, Cai, Shuting, Xiong, Xiaoming

    ISSN: 2079-9292, 2079-9292
    Published: Basel MDPI AG 03.07.2018
    Published in Electronics (Basel) (03.07.2018)
    “…). The Interleaved Modular Multiplication Algorithm and Binary Modular Inversion Algorithm are improved and implemented with two full-word adder units…”
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    Journal Article