Information on Result #1190406
Digital (66, 79, 137259)-net over F7, using net defined by OOA based on linear OOA(779, 137259, F7, 13, 13) (dual of [(137259, 13), 1784288, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(779, 823555, F7, 13) (dual of [823555, 823476, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(779, 823558, F7, 13) (dual of [823558, 823479, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(778, 823543, F7, 13) (dual of [823543, 823465, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(764, 823543, F7, 11) (dual of [823543, 823479, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(71, 15, F7, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(779, 823558, F7, 13) (dual of [823558, 823479, 14]-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 (67, 80, 137259)-net over F7 | [i] | Net Duplication | |
| 2 | Digital (73, 86, 137272)-net over F7 | [i] | (u, u+v)-Construction for Nets | |