Information on Result #1202934
Digital (44, 67, 48313)-net over F81, using net defined by OOA based on linear OOA(8167, 48313, F81, 23, 23) (dual of [(48313, 23), 1111132, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(8167, 531444, F81, 23) (dual of [531444, 531377, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(8167, 531441, F81, 23) (dual of [531441, 531374, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(8164, 531441, F81, 22) (dual of [531441, 531377, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [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 (45, 68, 48313)-net over F81 | [i] | Net Duplication | |
| 2 | Digital (46, 69, 48313)-net over F81 | [i] | ||
| 3 | Digital (44, 66, 48313)-net over F81 | [i] | m-Reduction | |
| 4 | Digital (55, 78, 48395)-net over F81 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (56, 79, 48413)-net over F81 | [i] | ||
| 6 | Digital (57, 80, 48429)-net over F81 | [i] | ||
| 7 | Digital (59, 82, 48463)-net over F81 | [i] | ||