Information on Result #1733258
Digital (107, 137, 11814)-net over F9, using net defined by OOA based on linear OOA(9137, 11814, F9, 33, 30) (dual of [(11814, 33), 389725, 31]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(9137, 59071, F9, 3, 30) (dual of [(59071, 3), 177076, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9137, 59075, F9, 3, 30) (dual of [(59075, 3), 177088, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9137, 59075, F9, 30) (dual of [59075, 58938, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(9131, 59049, F9, 30) (dual of [59049, 58918, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(9111, 59049, F9, 25) (dual of [59049, 58938, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(29) ⊂ Ce(24) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9137, 59075, F9, 30) (dual of [59075, 58938, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(9137, 59075, F9, 3, 30) (dual of [(59075, 3), 177088, 31]-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.