國科會計畫統計

• 最佳經典與量子碼
  1140801~1150731
  

• 最佳經典與量子碼
  1130801~1140731
  

• 最佳球面編碼與設計
  1120801~1130731
  [離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]

• 最佳球面編碼與設計
  1110801~1120731
  [離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]

• 最佳球面編碼與設計
  1100801~1110731
  [離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]

• 最佳球面編碼與設計
  1090801~1100731
  [離散幾何,等角直線叢,球面設計,最大二距離,三距離集合 , discrete geometry,equiangular lines,spherical designs,maximum spherical two-distance set,spherical three-distance set]

• 各式樣方法在等角直線叢
  1080801~1090731
  [等角直線叢,半正定規劃 , equiangular lines, semidefinite programming]

• 各式樣方法在等角直線叢
  1071001~1080731
  [等角直線叢,半正定規劃 , equiangular lines, semidefinite programming]

期刊著作

• On the two-distance embedding in real Euclidean space of coherent configuration of type (2,2;3)
  Discrete Mathematics, 348, 4, 2025-04-01
  [ Coherent configurations,Quasi-symmetric designs,Two-distance sets ]

• On character table of Clifford groups
  Journal of Mathematical Physics, 66, 2, 2025-02-01

• Improving Interpretation Consistency of Serum Capillary Electrophoresis by Development of Quantitative Graphic Indexes
  International Journal of Molecular Sciences, 25, 22, 2024-11-01
  [ capillary zone electrophoresis,monoclonal gammopathy,reference interval ]

• Quantum State Tomography via Nonconvex Riemannian Gradient Descent
  Physical Review Letters, 132, 24, 2024-06-14

• On the size of maximal binary codes with 2, 3, and 4 distances
  Combinatorial Theory, 4, 1, 2024-01-01
  [ Delsarte inequalities,Erdӧs–Ko–Rado,Johnson space ]

• Semidefinite programming bounds for spherical three-distance sets
  Electronic Journal of Combinatorics, 31, 4, 4-11, 2024-01-01

• Semidefinite Programming Bounds on the Size of Entanglement-Assisted Codeword Stabilized Quantum Codes
  IEEE Transactions on Information Theory, 70, 11, 7867-7881, 2024-01-01
  [ codeword stabilized (CWS) codes,Quantum codes,semidefinite program,Terwilliger algebra,weight enumerator ]

• The real equiangular tight frames obtained from rank 3 graphs
  Electronic Journal of Graph Theory and Applications, 12, 2, 329-341, 2024-01-01
  [ equiangular tight frame,rank 3 graph,strongly regular graph ]

• Semidefinite programming bounds for binary codes from a split Terwilliger algebra
  Designs, Codes, and Cryptography, 91, 10, 3241-3262, 2023-10-01
  [ Binary codes,Distance distribution,Semidefinite program,Terwilliger algebra,Weight enumeration ]

• Numerical computation of triangular complex spherical designs with small mesh ratio
  Journal of Computational and Applied Mathematics, 421, 2023-03-15
  [ Complex designs,Numerical integration,Quasi-uniform,Spherical designs,Uniform distribution ]

• Machine Learning-Based Technique for the Severity Classification of Sublingual Varices according to Traditional Chinese Medicine
  Computational and Mathematical Methods in Medicine, 2022, 2022-01-01

• The Lemmens-Seidel conjecture and forbidden subgraphs
  Journal of Combinatorial Theory - Series A, 185, 2022-01-01

• Combined Acupoints for the Treatment of Patients with Obesity: An Association Rule Analysis
  Evidence-based Complementary and Alternative Medicine, 2022, 2022-01-01

• Improved image quality for static blade magnetic resonance imaging using the total-variation regularized least absolute deviation solver
  Tomography (Ann Arbor, Mich.), 7, 4, 555-572, 2021-12-01
  [ BLADE MRI,Graphic processing unit (GPU),Least absolute deviation,Non-uniform fast Fourier transform (NUFFT) ]

• Improve concentration of frequency and time (ConceFT) by novel complex spherical designs
  Applied and Computational Harmonic Analysis, 54, 137-144, 2021-09-01
  [ ConceFT,Multitaper,Quasi-uniform spherical design,Synchrosqueezing transform,Time-frequency analysis ]

• Classification of spherical 2-distance {4, 2, 1}-designs by solving diophantine equations
  Taiwanese Journal of Mathematics, 25, 1, 1-22, 2021-02-01
  [ 2-distance set,Diophantine equation,Spherical design,Strongly regular graph ]

• Bounds on antipodal spherical designs with few angles
  Electronic Journal of Combinatorics, 28, 3, 2021-01-01

• New code upper bounds for the folded n-cube
  Journal of Combinatorial Theory - Series A, 172, 2020-05-01
  [ Code , Semidefinite programming , Terwilliger algebra , Upper bounds ]

• Saturated configuration and new large construction of equiangular lines
  Linear Algebra and Its Applications, 588, 272-281, 2020-03-01
  [ Clique number , Equiangular lines ]

• Equiangular lines and the Lemmens–Seidel conjecture
  Discrete Mathematics, 343, 2, 2020-02-01
  [ Equiangular set , Lemmens–Seidel , Pillar methods ]

• Upper bounds for s-distance sets and equiangular lines
  Advances in Mathematics, 330, 810-833, 2018-05-25
  [ Equiangular lines , s-distance sets , Semidefinite programming ]

• On spherical designs of some harmonic indices
  Electronic Journal of Combinatorics, 24, 2, 2017-04-13
  [ Delsarte’s method , Elliptic diophantine equation , Fisher type lower bound , Gegenbauer polynomial , Larman-Rogers-Seidel’s theorem , Semidefinite programming , Spherical designs of harmonic index , Tight design ]

• New bounds for equiangular lines and spherical two-distance sets
  SIAM Journal on Discrete Mathematics, 31, 2, 908-917, 2017-01-01
  [ Equiangular lines , Semidefinite programming , Two-distance set ]

• A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index 4
  European Journal of Combinatorics, 53, 96-103, 2016-04-01

• Finite two-distance tight frames
  Linear Algebra and Its Applications, 475, 163-175, 2015-01-01
  [ Finite tight frames , Spherical 2-designs , Spherical designs of harmonic index 2 , Spherical two-distance sets , Strongly regular graphs ]

• New bounds for spherical two-distance sets
  Experimental Mathematics, 22, 2, 187-194, 2013-04-03
  [ Positive definite matrices,Semidefinite programming,Two-distance sets ]

研討會著作

• Upper Bounds on the Size of Entanglement-Assisted Codeword Stabilized Codes Using Semidefinite Programming
  2269-2274, 2024-01-01
  

• Improved semidefinite programming bounds for binary codes by split distance enumerations
  3073-3078, 2022-01-01
  [ binary codes,semidefinite p≤rogram,Terwilliger algebra ]

• On the generalized eigenvalue problem for robust coil sensitivities of MRI
  169-174, 2022-01-01
  [ Generalized eigenvalue problem (GEP),magnetic resonance imaging (MRI),parallel imaging,phase singularity ]

• On the generalized inverse for MRI reconstruction
  2022-01-01
  [ generalized inverse,Moore-Penrose pseudoinverse,neural network ]

• A parallel hierarchical tensor product method for n-dimensional interpolation in the Fourier domain
  2021-01-01
  [ hierarchical tensor product,interpolation,nonuniform,parallel computing ]