Information on Result #1732704
Digital (89, 114, 14369)-net over F9, using net defined by OOA based on linear OOA(9114, 14369, F9, 27, 25) (dual of [(14369, 27), 387849, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(9114, 57477, F9, 3, 25) (dual of [(57477, 3), 172317, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9114, 57478, F9, 3, 25) (dual of [(57478, 3), 172320, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9114, 57478, F9, 25) (dual of [57478, 57364, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(9114, 59067, F9, 25) (dual of [59067, 58953, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- 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(996, 59049, F9, 22) (dual of [59049, 58953, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(93, 18, F9, 2) (dual of [18, 15, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(9114, 59067, F9, 25) (dual of [59067, 58953, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9114, 57478, F9, 25) (dual of [57478, 57364, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(9114, 57478, F9, 3, 25) (dual of [(57478, 3), 172320, 26]-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.