$Construction of Period <inline-formula> <tex-math notation="LaTeX">$qp$ </tex-math></inline-formula> PGISs With Degrees Equal to or Larger Than Four$

Construction of Period <inline-formula> <tex-math notation="LaTeX">$qp$ </tex-math></inline-formula> PGISs With Degrees Equal to or Larger Than Four

The degree of a perfect Gaussian integer sequence (PGIS) is defined as the number of distinct nonzero Gaussian integers within one period of the sequence. This paper focuses on constructing PGISs with degrees equal to or larger than four and period of N = qp, where q and p are distinct primes. The s...

Full description

Bibliographic Details
Main Authors:	Ho-Hsuan Chang, Kuo-Jen Chang, Chih-Peng Li
Format:	Article
Language:	English
Published:	IEEE 2018-01-01
Series:	IEEE Access
Subjects:	Gaussian integers Jacobi symbol Legendre sequence PACF PGIS
Online Access:	https://ieeexplore.ieee.org/document/8510805/

Similar Items

Ratio of Two Envelopes Taken From <inline-formula> <tex-math notation="LaTeX">$\alpha$ </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">$\mu$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$\eta$ </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">$\mu$ </tex-math></inline-formula>, and <inline-formula> <tex-math notation="LaTeX">$\kappa$ </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">$\mu$ </tex-math></inline-formula> Variates and Some Practical Applications
by: Carlos Rafael Nogueira Da Silva, et al.
Published: (2019-01-01)

<inline-formula> <tex-math notation="LaTeX">$\beta$ </tex-math></inline-formula>-Dropout: A Unified Dropout
by: Lei Liu, et al.
Published: (2019-01-01)

<inline-formula> <tex-math notation="LaTeX">$t/t$ </tex-math></inline-formula>-Diagnosability and <inline-formula> <tex-math notation="LaTeX">$t/k$ </tex-math></inline-formula>-Diagnosability for Augmented Cube Networks
by: Jiarong Liang, et al.
Published: (2018-01-01)

Impact of Nonlinearity Including Bleaching in <inline-formula><tex-math notation="LaTeX">$p$</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">$i$</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">$n$</tex-math></inline-formula> Photodetectors on RF-Modulated Electro-Optic Frequency Combs
by: Seyed Ehsan Jamali Mahabadi, et al.
Published: (2021-01-01)

New Bounds for All Types of Multi-state Consecutive <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Out-of-<inline-formula> <tex-math notation="LaTeX">$r$ </tex-math></inline-formula>-From-<inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>: F System Reliability
by: Taha Radwan
Published: (2019-01-01)

Structure Connectivity and Substructure Connectivity of <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Ary <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>-Cube Networks
by: Guozhen Zhang, et al.
Published: (2019-01-01)

SISO Intuitionistic Fuzzy Systems: IF-<inline-formula> <tex-math notation="LaTeX">${t}$ </tex-math></inline-formula>-Norm, IF-<inline-formula> <tex-math notation="LaTeX">${R}$ </tex-math></inline-formula>-Implication, and Universal Approximators
by: Jiansheng Li, et al.
Published: (2019-01-01)

Optimization of (<inline-formula> <tex-math notation="LaTeX">${R}$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">${Q}$ </tex-math></inline-formula>) Policies for Assembly Inventory Systems With Operating Flexibility
by: Peng Li, et al.
Published: (2019-01-01)

Ultrabroadband High Coupling Efficiency Fiber-to-Waveguide Coupler Using Si<inline-formula> <tex-math notation="LaTeX">$_{3}$</tex-math></inline-formula>N<inline-formula><tex-math notation="LaTeX">$_{4}$ </tex-math></inline-formula>/SiO<inline-formula><tex-math notation="LaTeX">$_{2}$</tex-math></inline-formula> Waveguides on Silicon
by: Tiecheng Zhu, et al.
Published: (2016-01-01)

An Efficient Formula for Generalized Multi-State <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Out-of- <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>: G System Reliability
by: Taha Radwan, et al.
Published: (2019-01-01)

High Order Mesh Denoising via <inline-formula> <tex-math notation="LaTeX">$\ell_{P}$ </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">$\ell_{1}$ </tex-math></inline-formula> Minimization
by: Zheng Liu, et al.
Published: (2019-01-01)

Variation-Based Linearization of Nonlinear Systems Evolving on <inline-formula> <tex-math notation="LaTeX">$SO(3)$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$\mathbb S^{2}$ </tex-math></inline-formula>
by: Guofan Wu, et al.
Published: (2015-01-01)

A Highly Birefringent and Nonlinear AsSe<inline-formula><tex-math notation="LaTeX">$_2$</tex-math></inline-formula>–As<inline-formula><tex-math notation="LaTeX">$_2$</tex-math></inline-formula>S<inline-formula><tex-math notation="LaTeX">$_5$</tex-math></inline-formula> Photonic Crystal Fiber With Two Zero-Dispersion Wavelengths
by: Tianyu Yang, et al.
Published: (2019-01-01)

<inline-formula> <tex-math notation="LaTeX">$DBO$ </tex-math></inline-formula> Trajectory Planning and <inline-formula> <tex-math notation="LaTeX">$HAHP$ </tex-math></inline-formula> Decision-Making for Autonomous Vehicle Driving on Urban Environment
by: Dequan Zeng, et al.
Published: (2019-01-01)

Innovative Target Tracking Method Combined Adaptive <inline-formula> <tex-math notation="LaTeX">$\alpha$ </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">$\beta$ </tex-math></inline-formula> Filter With Robust BPNN
by: Bo Li
Published: (2019-01-01)

<inline-formula> <tex-math notation="LaTeX">$\tau$ </tex-math></inline-formula>-Safe (<inline-formula> <tex-math notation="LaTeX">$l,k$ </tex-math></inline-formula>)-Diversity Privacy Model for Sequential Publication With High Utility
by: Hui Zhu, et al.
Published: (2019-01-01)

Optimal PI<inline-formula> <tex-math notation="LaTeX">$^{{\lambda}}$ </tex-math></inline-formula>D<inline-formula> <tex-math notation="LaTeX">$^{{\mu}}$ </tex-math></inline-formula> Controller Design for Two Wheeled Inverted Pendulum
by: Huseyin Oktay Erkol
Published: (2018-01-01)

Space Efficient <inline-formula> <tex-math notation="LaTeX">$GF(2^m)$ </tex-math></inline-formula> Multiplier for Special Pentanomials Based on <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>-Term Karatsuba Algorithm
by: Sun-Mi Park, et al.
Published: (2020-01-01)

Low Space Complexity <inline-formula> <tex-math notation="LaTeX">$GF(2^m)$ </tex-math></inline-formula> Multiplier for Trinomials Using <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>-Term Karatsuba Algorithm
by: Sun-Mi Park, et al.
Published: (2019-01-01)

<inline-formula> <tex-math notation="LaTeX">${H_\infty}$ </tex-math></inline-formula> Robust Control of Permanent Magnet Synchronous Motor Based on PCHD
by: Wei Wang, et al.
Published: (2019-01-01)

A Varactor-Less DCO With <inline-formula> <tex-math notation="LaTeX">$7~GHz$ </tex-math></inline-formula> Tuning Range for <inline-formula> <tex-math notation="LaTeX">$77~GHz$ </tex-math></inline-formula> Automotive Radars
by: Iman Taha, et al.
Published: (2019-01-01)

On the Performance Analysis of WPT-Based Dual-Hop AF Relaying Networks in <inline-formula> <tex-math notation="LaTeX">$\alpha$ </tex-math></inline-formula>-<inline-formula> <tex-math notation="LaTeX">$\mu$ </tex-math></inline-formula> Fading
by: Galymzhan Nauryzbayev, et al.
Published: (2018-01-01)

Alternating Iteration for <inline-formula> <tex-math notation="LaTeX">$l_{p}$ </tex-math></inline-formula> (<inline-formula> <tex-math notation="LaTeX">$0<p\leq 1$ </tex-math></inline-formula>) Regularized CT Reconstruction
by: Chuang Miao, et al.
Published: (2016-01-01)

Availability Analysis and Optimal Design of Multistate Weighted <inline-formula> <tex-math notation="LaTeX">${k}$ </tex-math></inline-formula>-Out-of-<inline-formula> <tex-math notation="LaTeX">${n}$ </tex-math></inline-formula> Systems With Component Performance Requirements
by: Zhiwei Chen, et al.
Published: (2018-01-01)

Joint Weighted Tensor Schatten <inline-formula> <tex-math notation="LaTeX">$p$ </tex-math></inline-formula>-Norm and Tensor <inline-formula> <tex-math notation="LaTeX">$l_p$ </tex-math></inline-formula>-Norm Minimization for Image Denoising
by: Xiaoqin Zhang, et al.
Published: (2019-01-01)

BP<inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>NN: <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Nearest Neighbor Classifier With Pairwise Distance Metrics and Belief Function Theory
by: Lianmeng Jiao, et al.
Published: (2019-01-01)

A H<inline-formula> <tex-math notation="LaTeX">$_{\infty}$ </tex-math></inline-formula> PI<inline-formula> <tex-math notation="LaTeX">$_{\varepsilon}$ </tex-math></inline-formula>D-Based Observer Designed by LMI for Some Special System
by: Yong Sun, et al.
Published: (2019-01-01)

Dynamics of Antifractals in Modified <inline-formula> <tex-math notation="LaTeX">$S$ </tex-math></inline-formula>-Iteration Orbit
by: Zhihua Chen, et al.
Published: (2019-01-01)

Overcomplete Transform Learning With the <inline-formula> <tex-math notation="LaTeX">$log$ </tex-math></inline-formula> Regularizer
by: Zhenni Li, et al.
Published: (2018-01-01)

<inline-formula> <tex-math notation="LaTeX">$H_2$ </tex-math></inline-formula>/<inline-formula> <tex-math notation="LaTeX">$H_\infty$ </tex-math></inline-formula> Simultaneous Fault Detection and Control for Markov Jump Linear Systems With Partial Observation
by: Leonardo De Paula Carvalho, et al.
Published: (2020-01-01)

Fast Algebraic Immunity of <inline-formula> <tex-math notation="LaTeX">$2^m+2$ </tex-math></inline-formula> & <inline-formula> <tex-math notation="LaTeX">$2^m+3$ </tex-math></inline-formula> Variables Majority Function
by: Yindong Chen, et al.
Published: (2019-01-01)

Secrecy Performance Analysis of SIMO Systems Over Correlated <inline-formula> <tex-math notation="LaTeX">$\kappa$ </tex-math></inline-formula>–<inline-formula> <tex-math notation="LaTeX">$\mu$ </tex-math></inline-formula> Shadowed Fading Channels
by: Jiangfeng Sun, et al.
Published: (2019-01-01)

The <inline-formula> <tex-math notation="LaTeX">$G_M$ </tex-math></inline-formula>-Contraction Principle for Mappings on an <inline-formula> <tex-math notation="LaTeX">$M$ </tex-math></inline-formula>-Metric Spaces Endowed With a Graph and Fixed Point Theorems
by: Nizar Souayah, et al.
Published: (2018-01-01)

A Novel Alternative to Traditional <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>HSLC: An <inline-formula> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula>-Switched-Cell Based Approach to High-Step-up Converters
by: Si-Zhe Chen, et al.
Published: (2019-01-01)

Design and Analysis of a Graded-Index Strained Si<inline-formula><tex-math notation="LaTeX">$_{1-x}$ </tex-math></inline-formula>Ge<inline-formula><tex-math notation="LaTeX">$_x$</tex-math></inline-formula> Optical PN Phase Shifter
by: Darpan Mishra, et al.
Published: (2018-01-01)

Texture-Aware Deblurring for Remote Sensing Images Using <inline-formula><tex-math notation="LaTeX">$ \ell _0$</tex-math></inline-formula>-Based Deblurring and <inline-formula><tex-math notation="LaTeX">$ \ell _2$</tex-math></inline-formula>-Based Fusion
by: Heunseung Lim, et al.
Published: (2020-01-01)

Optimal Setting and Control Strategy for Industrial Process Based on Discrete-Time Fractional-Order PI<inline-formula> <tex-math notation="LaTeX">$^{\lambda}$ </tex-math></inline-formula>D<inline-formula> <tex-math notation="LaTeX">$^{\mu}$ </tex-math></inline-formula>
by: Fengxue Zhang, et al.
Published: (2019-01-01)

The <inline-formula> <tex-math notation="LaTeX">$r$ </tex-math></inline-formula>-Restricted Connectivity of Hyper Petersen Graphs
by: Shiying Wang
Published: (2019-01-01)

Reverse Spatial Visual Top-<inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> Query
by: Lei Zhu, et al.
Published: (2020-01-01)

Robust 2DPCA With <inline-formula> <tex-math notation="LaTeX">${F}$ </tex-math></inline-formula>-Norm Minimization
by: Yong Wang, et al.
Published: (2019-01-01)

Cannot write session to /tmp/vufind_sessions/sess_jebiou8p4rv60ngcq81ja7jqua