Information on Result #3159122
Digital (56, 68, 1096)-net over F3, using 1 times m-reduction based on digital (56, 69, 1096)-net over F3, using
- net defined by OOA [i] based on linear OOA(369, 1096, F3, 13, 13) (dual of [(1096, 13), 14179, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(369, 6577, F3, 13) (dual of [6577, 6508, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(369, 6581, F3, 13) (dual of [6581, 6512, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(365, 6561, F3, 13) (dual of [6561, 6496, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(349, 6561, F3, 10) (dual of [6561, 6512, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(34, 20, F3, 2) (dual of [20, 16, 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(12) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(369, 6581, F3, 13) (dual of [6581, 6512, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(369, 6577, F3, 13) (dual of [6577, 6508, 14]-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.