Information on Result #1194464
Digital (125, 148, 434819)-net over F9, using net defined by OOA based on linear OOA(9148, 434819, F9, 23, 23) (dual of [(434819, 23), 10000689, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(9148, 4783010, F9, 23) (dual of [4783010, 4782862, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(9148, 4783011, F9, 23) (dual of [4783011, 4782863, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(9141, 4782969, F9, 23) (dual of [4782969, 4782828, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(97, 42, F9, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(9148, 4783011, F9, 23) (dual of [4783011, 4782863, 24]-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 (126, 149, 434819)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (127, 150, 434819)-net over F9 | [i] | ||