Information on Result #1193672
Digital (55, 68, 88575)-net over F9, using net defined by OOA based on linear OOA(968, 88575, F9, 13, 13) (dual of [(88575, 13), 1151407, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(968, 531451, F9, 13) (dual of [531451, 531383, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(968, 531454, F9, 13) (dual of [531454, 531386, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(967, 531441, F9, 13) (dual of [531441, 531374, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(955, 531441, F9, 11) (dual of [531441, 531386, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(91, 13, F9, 1) (dual of [13, 12, 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(12) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(968, 531454, F9, 13) (dual of [531454, 531386, 14]-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 (56, 69, 88575)-net over F9 | [i] | Net Duplication | |