Information on Result #1194632
Digital (97, 125, 4219)-net over F9, using net defined by OOA based on linear OOA(9125, 4219, F9, 28, 28) (dual of [(4219, 28), 118007, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(9125, 59066, F9, 28) (dual of [59066, 58941, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(9125, 59068, F9, 28) (dual of [59068, 58943, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(23) [i] based on
- linear OA(9121, 59049, F9, 28) (dual of [59049, 58928, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(94, 19, F9, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,9)), using
- construction X applied to Ce(27) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(9125, 59068, F9, 28) (dual of [59068, 58943, 29]-code), using
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (98, 126, 4219)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (99, 127, 4219)-net over F9 | [i] | ||