Information on Result #1194680
Digital (116, 146, 3940)-net over F9, using net defined by OOA based on linear OOA(9146, 3940, F9, 30, 30) (dual of [(3940, 30), 118054, 31]-NRT-code), using
- OA 15-folding and stacking [i] based on linear OA(9146, 59100, F9, 30) (dual of [59100, 58954, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(9146, 59104, F9, 30) (dual of [59104, 58958, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(20) [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(991, 59049, F9, 21) (dual of [59049, 58958, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(915, 55, F9, 8) (dual of [55, 40, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(915, 80, F9, 8) (dual of [80, 65, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(915, 80, F9, 8) (dual of [80, 65, 9]-code), using
- construction X applied to Ce(29) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(9146, 59104, F9, 30) (dual of [59104, 58958, 31]-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.