Information on Result #1190028
Digital (31, 41, 3362)-net over F7, using net defined by OOA based on linear OOA(741, 3362, F7, 10, 10) (dual of [(3362, 10), 33579, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(741, 16810, F7, 10) (dual of [16810, 16769, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(741, 16812, F7, 10) (dual of [16812, 16771, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(741, 16807, F7, 10) (dual of [16807, 16766, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(736, 16807, F7, 9) (dual of [16807, 16771, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(70, 5, F7, 0) (dual of [5, 5, 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(741, 16812, F7, 10) (dual of [16812, 16771, 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 (36, 46, 3370)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (37, 47, 3375)-net over F7 | [i] | ||
| 3 | Digital (38, 48, 3383)-net over F7 | [i] | ||