Self-Dual Bent Sequences for Complex Hadamard Matrices

This repo is created for investigating self-dual bent sequences in Complex Hadamard matrices. It is the open-source of the paper Self-Dual Bent Sequences for Complex Hadamard Matrices.

Complex Hadamard matrices at different orders

*Note 1: SD for self-dual; seqs for sequences; Refs for references

*Note 2: All complex Hadamard matrices are under directory: com_Hadamard_mats.

*Note 3: All SD bent sequences are under directory: com_bent_seqs.

Order 2

• Number of matrices: 1 link.
• All bent sequences link.

Order 4

• Number of matrices: 1 link.
• All bent sequences link.

Order 8

• Number of matrices: 1 link.
• All bent sequences link.

Order 10

• Number of matrices: 1 link.
• All bent sequences link.

Order 16

• Number of matrices: 2 link.
• All bent sequences link.

Order 18

• Number of matrices: 1 link.
• All bent sequences link.

Extras

• 818 matrices with only one eigenvalue have no SD bent sequences link.
• 1890 matrices with two eigenvalues have no SD bent sequences link.
• 74 matrices with three eigenvalues have no SD bent sequences link.

Order 20

• Number of matrices: 1 link.
• All bent sequences link.

Order 26

• Number of matrices: 1 link.
• All bent sequences link.

Order 32

• Number of matrices: 1 link.
• All bent sequences link.

Order 34

• Number of matrices: 1 link.
• All bent sequences link.

Order 36

• Number of matrices: 3 link.
• All bent sequences link.

Order 40

• Number of matrices: 1 link.
• All bent sequences link.

Order 50

• Number of matrices: 7 link.

• All bent sequences link.

• Extra one: link.

• All bent sequences link.

Order 52

• Number of matrices: 1 link.
• All bent sequences link.

Order 58

• Number of matrices: 1 link.
• All bent sequences link.

Order 64

• Number of matrices: 3 link.
• All bent sequences link.

Order 68

• Number of matrices: 1 link.
• All bent sequences link.

Order 72

• Number of matrices: 2 link.
• All bent sequences link.

Order 74

• Number of matrices: 2 link.
• All bent sequences link.

Order 80

• Number of matrices: 1 link.
• All bent sequences link.

Order 82

• Number of matrices: 2 link.
• All bent sequences link.

Order 90

• Number of matrices: 1 link.
• All bent sequences link.

Copyright and License

This repository is placed into the public domain. Anyone can redistribute it and/or modify it under the terms of the GNU General Public License version 3.0.

Copyright (C) 2022. All Rights Reserved to Authors.