Information on Result #1193978
Digital (45, 62, 821)-net over F9, using net defined by OOA based on linear OOA(962, 821, F9, 17, 17) (dual of [(821, 17), 13895, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(962, 6569, F9, 17) (dual of [6569, 6507, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(962, 6570, F9, 17) (dual of [6570, 6508, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(961, 6561, F9, 17) (dual of [6561, 6500, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(953, 6561, F9, 15) (dual of [6561, 6508, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(91, 9, F9, 1) (dual of [9, 8, 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(16) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(962, 6570, F9, 17) (dual of [6570, 6508, 18]-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 (46, 63, 821)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (47, 64, 821)-net over F9 | [i] | ||