Information on Result #3161500
Digital (106, 124, 6563)-net over F3, using 1 times m-reduction based on digital (106, 125, 6563)-net over F3, using
- net defined by OOA [i] based on linear OOA(3125, 6563, F3, 19, 19) (dual of [(6563, 19), 124572, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(3125, 59068, F3, 19) (dual of [59068, 58943, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3125, 59073, F3, 19) (dual of [59073, 58948, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(3121, 59049, F3, 19) (dual of [59049, 58928, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(18) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(3125, 59073, F3, 19) (dual of [59073, 58948, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(3125, 59068, F3, 19) (dual of [59068, 58943, 20]-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.