Information on Result #1190898
Digital (70, 92, 1528)-net over F7, using net defined by OOA based on linear OOA(792, 1528, F7, 22, 22) (dual of [(1528, 22), 33524, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(792, 16808, F7, 22) (dual of [16808, 16716, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(792, 16813, F7, 22) (dual of [16813, 16721, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(791, 16807, F7, 22) (dual of [16807, 16716, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(786, 16807, F7, 20) (dual of [16807, 16721, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(71, 6, F7, 1) (dual of [6, 5, 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(21) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(792, 16813, F7, 22) (dual of [16813, 16721, 23]-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 (71, 93, 1528)-net over F7 | [i] | Net Duplication | |
| 2 | Digital (82, 104, 1541)-net over F7 | [i] | (u, u+v)-Construction for Nets | |