Information on Result #1190846
Digital (84, 104, 11766)-net over F7, using net defined by OOA based on linear OOA(7104, 11766, F7, 20, 20) (dual of [(11766, 20), 235216, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(7104, 117660, F7, 20) (dual of [117660, 117556, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(7104, 117662, F7, 20) (dual of [117662, 117558, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(7103, 117649, F7, 20) (dual of [117649, 117546, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(791, 117649, F7, 18) (dual of [117649, 117558, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(71, 13, F7, 1) (dual of [13, 12, 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(19) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(7104, 117662, F7, 20) (dual of [117662, 117558, 21]-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 (85, 105, 11766)-net over F7 | [i] | Net Duplication | |