Information on Result #1194310
Digital (71, 92, 5906)-net over F9, using net defined by OOA based on linear OOA(992, 5906, F9, 21, 21) (dual of [(5906, 21), 123934, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(992, 59061, F9, 21) (dual of [59061, 58969, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(991, 59050, F9, 21) (dual of [59050, 58959, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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 C([0,10]) ⊂ C([0,9]) [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 (72, 93, 5906)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (73, 94, 5906)-net over F9 | [i] | ||
| 3 | Digital (74, 95, 5906)-net over F9 | [i] | ||
| 4 | Digital (75, 96, 5906)-net over F9 | [i] | ||