Information on Result #1193302
Digital (30, 40, 2626)-net over F9, using net defined by OOA based on linear OOA(940, 2626, F9, 10, 10) (dual of [(2626, 10), 26220, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(940, 13130, F9, 10) (dual of [13130, 13090, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(940, 13132, F9, 10) (dual of [13132, 13092, 11]-code), using
- trace code [i] based on linear OA(8120, 6566, F81, 10) (dual of [6566, 6546, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(8119, 6561, F81, 10) (dual of [6561, 6542, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- trace code [i] based on linear OA(8120, 6566, F81, 10) (dual of [6566, 6546, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(940, 13132, F9, 10) (dual of [13132, 13092, 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
None.