Information on Result #1190066
Digital (55, 65, 1152961)-net over F7, using net defined by OOA based on linear OOA(765, 1152961, F7, 10, 10) (dual of [(1152961, 10), 11529545, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(765, 5764805, F7, 10) (dual of [5764805, 5764740, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(765, 5764809, F7, 10) (dual of [5764809, 5764744, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(765, 5764801, F7, 10) (dual of [5764801, 5764736, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(757, 5764801, F7, 9) (dual of [5764801, 5764744, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(70, 8, F7, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(765, 5764809, F7, 10) (dual of [5764809, 5764744, 11]-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 (60, 70, 1152969)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (61, 71, 1152974)-net over F7 | [i] | ||
| 3 | Digital (62, 72, 1152982)-net over F7 | [i] | ||