Information on Result #1194676
Digital (106, 136, 3938)-net over F9, using net defined by OOA based on linear OOA(9136, 3938, F9, 30, 30) (dual of [(3938, 30), 118004, 31]-NRT-code), using
- OA 15-folding and stacking [i] based on linear OA(9136, 59070, F9, 30) (dual of [59070, 58934, 31]-code), using
- construction XX applied to Ce(29) ⊂ Ce(25) ⊂ Ce(24) [i] based on
- linear OA(9131, 59049, F9, 30) (dual of [59049, 58918, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(9116, 59049, F9, 26) (dual of [59049, 58933, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(9111, 59049, F9, 25) (dual of [59049, 58938, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(94, 20, F9, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,9)), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(29) ⊂ Ce(25) ⊂ Ce(24) [i] based on
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 (107, 137, 3938)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (108, 138, 3938)-net over F9 | [i] | ||
| 3 | Digital (109, 139, 3938)-net over F9 | [i] | ||
| 4 | Digital (110, 140, 3938)-net over F9 | [i] | ||