Information on Result #1731996
Digital (58, 78, 2848)-net over F9, using net defined by OOA based on linear OOA(978, 2848, F9, 27, 20) (dual of [(2848, 27), 76818, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(978, 11393, F9, 3, 20) (dual of [(11393, 3), 34101, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(978, 11394, F9, 3, 20) (dual of [(11394, 3), 34104, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(978, 11394, F9, 20) (dual of [11394, 11316, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(978, 13122, F9, 20) (dual of [13122, 13044, 21]-code), using
- trace code [i] based on linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- trace code [i] based on linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(978, 13122, F9, 20) (dual of [13122, 13044, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(978, 11394, F9, 20) (dual of [11394, 11316, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(978, 11394, F9, 3, 20) (dual of [(11394, 3), 34104, 21]-NRT-code), using
Mode: 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.