Information on Result #1187192
Digital (97, 120, 1490)-net over F4, using net defined by OOA based on linear OOA(4120, 1490, F4, 23, 23) (dual of [(1490, 23), 34150, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(4120, 16391, F4, 23) (dual of [16391, 16271, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4113, 16384, F4, 22) (dual of [16384, 16271, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(40, 7, F4, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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 (98, 121, 1490)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (99, 122, 1490)-net over F4 | [i] | ||
| 3 | Digital (108, 131, 1495)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (109, 132, 1499)-net over F4 | [i] | ||
| 5 | Digital (110, 133, 1500)-net over F4 | [i] | ||