Information on Result #1190370
Digital (44, 57, 2802)-net over F7, using net defined by OOA based on linear OOA(757, 2802, F7, 13, 13) (dual of [(2802, 13), 36369, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(757, 16813, F7, 13) (dual of [16813, 16756, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(757, 16818, F7, 13) (dual of [16818, 16761, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(756, 16807, F7, 13) (dual of [16807, 16751, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(746, 16807, F7, 11) (dual of [16807, 16761, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(71, 11, F7, 1) (dual of [11, 10, 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(757, 16818, F7, 13) (dual of [16818, 16761, 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 (51, 64, 2815)-net over F7 | [i] | (u, u+v)-Construction for Nets | |