Information on Result #1193556
Digital (59, 71, 797162)-net over F9, using net defined by OOA based on linear OOA(971, 797162, F9, 12, 12) (dual of [(797162, 12), 9565873, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(971, 4782972, F9, 12) (dual of [4782972, 4782901, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(971, 4782976, F9, 12) (dual of [4782976, 4782905, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(971, 4782976, F9, 12) (dual of [4782976, 4782905, 13]-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 (65, 77, 797172)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (66, 78, 797178)-net over F9 | [i] | ||
| 3 | Digital (67, 79, 797182)-net over F9 | [i] | ||
| 4 | Digital (68, 80, 797190)-net over F9 | [i] | ||