Upload spherical codes

You can use the following form to upload additions or improvements to the table of spherical codes.

This form does not allow references, since they cannot be checked automatically. Uploaded codes will initially be labeled with “Uploaded by anonymous internet user.” If you upload any codes, please get in touch with me to provide more information, and I'll edit the database manually. Note that your reference may be replaced if I learn an earlier reference, or if you have not optimized to at least twelve digits.



Spherical codes should be described by plain text files with UTF-8 encoding. Each line specifies a single point, with coordinates separated by commas; any lines not of this form are treated as comments and ignored. For example, here are the vertices of a regular octahedron in three dimensions:

1.0,0.0,0.0
0.0,1.0,0.0
0.0,0.0,1.0
-1.0,0.0,0.0
0.0,-1.0,0.0
0.0,0.0,-1.0

The dimension must be from 3 to 32, while the number of points must be greater than twice the dimension and at most 1024. You can upload multiple files at once. Any files that cannot be parsed or codes that do not improve on the current records by at least 10-12 will be ignored.

If you are using Safari as your web browser, you may have to turn off cross-site tracking protection to get the upload feature to work.