Information on Result #3254223
Digital (116, 136, 5907)-net over F3, using 31 times duplication based on digital (115, 135, 5907)-net over F3, using
- net defined by OOA [i] based on linear OOA(3135, 5907, F3, 20, 20) (dual of [(5907, 20), 118005, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(3135, 59070, F3, 20) (dual of [59070, 58935, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3135, 59073, F3, 20) (dual of [59073, 58938, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(16) [i] based on
- linear OA(3131, 59049, F3, 20) (dual of [59049, 58918, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3111, 59049, F3, 17) (dual of [59049, 58938, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(34, 24, F3, 2) (dual of [24, 20, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(19) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(3135, 59073, F3, 20) (dual of [59073, 58938, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(3135, 59070, F3, 20) (dual of [59070, 58935, 21]-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.