Information on Result #1194158
Digital (69, 88, 6564)-net over F9, using net defined by OOA based on linear OOA(988, 6564, F9, 19, 19) (dual of [(6564, 19), 124628, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(988, 59077, F9, 19) (dual of [59077, 58989, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- 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(961, 59050, F9, 13) (dual of [59050, 58989, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(97, 27, F9, 5) (dual of [27, 20, 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 C([0,9]) ⊂ C([0,6]) [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 (70, 89, 6564)-net over F9 | [i] | Net Duplication | |