Information on Result #1731892
Digital (63, 82, 10526)-net over F9, using net defined by OOA based on linear OOA(982, 10526, F9, 21, 19) (dual of [(10526, 21), 220964, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(982, 31579, F9, 3, 19) (dual of [(31579, 3), 94655, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(982, 31580, F9, 3, 19) (dual of [(31580, 3), 94658, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(982, 31580, F9, 19) (dual of [31580, 31498, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(982, 59055, F9, 19) (dual of [59055, 58973, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(981, 59049, F9, 19) (dual of [59049, 58968, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(976, 59049, F9, 17) (dual of [59049, 58973, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(91, 6, F9, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(982, 59055, F9, 19) (dual of [59055, 58973, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(982, 31580, F9, 19) (dual of [31580, 31498, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(982, 31580, F9, 3, 19) (dual of [(31580, 3), 94658, 20]-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.