Jadrijević BMiletić K(2024)Characterization of quadratic ε−CNS polynomialsJournal of Number Theory10.1016/j.jnt.2024.04.007262(579-606)Online publication date: Sep-2024
https://doi.org/10.1016/j.jnt.2024.04.007
Jadrijević B(2024)Bases of $$\varepsilon $$-Canonical Number Systems in Quadratic Number FieldsMediterranean Journal of Mathematics10.1007/s00009-024-02676-321:5Online publication date: 16-Jun-2024
https://doi.org/10.1007/s00009-024-02676-3
Das KHarshavardhan Reddy EMandal ANath Pradhan SBhattacharjee A(2024)Area–time–energy efficient architecture of CBNS‐based fast Fourier transformInternational Journal of Circuit Theory and Applications10.1002/cta.4075Online publication date: 15-May-2024
https://doi.org/10.1002/cta.4075
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Index Terms

A ``Binary'' System for Complex Numbers
1. Mathematics of computing
  1. Mathematical analysis
    1. Numerical analysis
2. Theory of computation
  1. Design and analysis of algorithms

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Published In

Journal of the ACM Volume 12, Issue 2

April 1965

143 pages

ISSN:0004-5411

EISSN:1557-735X

DOI:10.1145/321264

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Association for Computing Machinery

New York, NY, United States

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Published: 01 April 1965

Published in JACM Volume 12, Issue 2

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Jadrijević BMiletić K(2024)Characterization of quadratic ε−CNS polynomialsJournal of Number Theory10.1016/j.jnt.2024.04.007262(579-606)Online publication date: Sep-2024
https://doi.org/10.1016/j.jnt.2024.04.007
Jadrijević B(2024)Bases of $$\varepsilon $$-Canonical Number Systems in Quadratic Number FieldsMediterranean Journal of Mathematics10.1007/s00009-024-02676-321:5Online publication date: 16-Jun-2024
https://doi.org/10.1007/s00009-024-02676-3
Das KHarshavardhan Reddy EMandal ANath Pradhan SBhattacharjee A(2024)Area–time–energy efficient architecture of CBNS‐based fast Fourier transformInternational Journal of Circuit Theory and Applications10.1002/cta.4075Online publication date: 15-May-2024
https://doi.org/10.1002/cta.4075
Swart BCrook SGrundman HHall-Seelig L(2022)Gaussian happy numbersRocky Mountain Journal of Mathematics10.1216/rmj.2022.52.41552:2Online publication date: 1-Apr-2022
https://doi.org/10.1216/rmj.2022.52.415
Pelantová EVávra T(2022)On positional representation of integer vectorsLinear Algebra and its Applications10.1016/j.laa.2021.10.018633(316-331)Online publication date: Jan-2022
https://doi.org/10.1016/j.laa.2021.10.018
Mukherjee MSanyal S(2021)FPGA-Based Efficient Implementation of CBNS Computational Circuits: A Modular ApproachComputational Advancement in Communication, Circuits and Systems10.1007/978-981-16-4035-3_10(109-123)Online publication date: 10-Oct-2021
https://doi.org/10.1007/978-981-16-4035-3_10
Mukherjee MSanyal S(2020)2-D Systolic Array architecture of CBNS based Discrete Hilbert Transform ProcessorMicroprocessors and Microsystems10.1016/j.micpro.2020.103509(103509)Online publication date: Nov-2020
https://doi.org/10.1016/j.micpro.2020.103509
Surer P(2020)Representations for complex numbers with integer digitsResearch in Number Theory10.1007/s40993-020-00214-06:4Online publication date: 10-Nov-2020
https://doi.org/10.1007/s40993-020-00214-0
Mukherjee MSanyal S(2020)Design of High-Speed FPGA Based CASU Using CBNS Arithmetic: Extension to CFFT ProcessorInternational Conference on Innovative Computing and Communications10.1007/978-981-15-5113-0_70(835-854)Online publication date: 2-Aug-2020
https://doi.org/10.1007/978-981-15-5113-0_70
Legerský JSvobodová M(2019)Construction of Algorithms for Parallel Addition in Expanding Bases via Extending Window MethodTheoretical Computer Science10.1016/j.tcs.2019.08.010Online publication date: Aug-2019
https://doi.org/10.1016/j.tcs.2019.08.010
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Complex p-solvable linear groups of finite order

Fast adder and subtractor design for (-1+j) - base complex binary numbers

Perfect binary codes: constructions, properties, and enumeration

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