Information on Result #1193994
Digital (60, 77, 7382)-net over F9, using net defined by OOA based on linear OOA(977, 7382, F9, 17, 17) (dual of [(7382, 17), 125417, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(977, 59057, F9, 17) (dual of [59057, 58980, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(977, 59060, F9, 17) (dual of [59060, 58983, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(976, 59049, F9, 17) (dual of [59049, 58973, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(977, 59060, F9, 17) (dual of [59060, 58983, 18]-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 (61, 78, 7382)-net over F9 | [i] | Net Duplication | |