Information on Result #1194176
Digital (84, 103, 59052)-net over F9, using net defined by OOA based on linear OOA(9103, 59052, F9, 19, 19) (dual of [(59052, 19), 1121885, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(9103, 531469, F9, 19) (dual of [531469, 531366, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(9103, 531471, F9, 19) (dual of [531471, 531368, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- linear OA(997, 531441, F9, 19) (dual of [531441, 531344, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(973, 531441, F9, 14) (dual of [531441, 531368, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(96, 30, F9, 4) (dual of [30, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(9103, 531471, F9, 19) (dual of [531471, 531368, 20]-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 (84, 102, 59052)-net over F9 | [i] | m-Reduction | |