Information on Result #3141402
There is no digital (26, 55, 62)-net over F2, because 1 times m-reduction would yield digital (26, 54, 62)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(254, 62, F2, 28) (dual of [62, 8, 29]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-code), but
- “BJV†bound on codes from Brouwer’s database [i]
- 1 times code embedding in larger space [i] would yield linear OA(255, 63, F2, 28) (dual of [63, 8, 29]-code), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.