Information on Result #1732024
Digital (72, 92, 14768)-net over F9, using net defined by OOA based on linear OOA(992, 14768, F9, 27, 20) (dual of [(14768, 27), 398644, 21]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(992, 59073, F9, 3, 20) (dual of [(59073, 3), 177127, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(992, 59075, F9, 3, 20) (dual of [(59075, 3), 177133, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(992, 59075, F9, 20) (dual of [59075, 58983, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(14) [i] based on
- linear OA(986, 59049, F9, 20) (dual of [59049, 58963, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(96, 26, F9, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- construction X applied to Ce(19) ⊂ Ce(14) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(992, 59075, F9, 20) (dual of [59075, 58983, 21]-code), using
- discarding factors / shortening the dual code based on linear OOA(992, 59075, F9, 3, 20) (dual of [(59075, 3), 177133, 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.