Information on Result #1716020
Digital (166, 195, 6563)-net over F3, using net defined by OOA based on linear OOA(3195, 6563, F3, 35, 29) (dual of [(6563, 35), 229510, 30]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3195, 19690, F3, 5, 29) (dual of [(19690, 5), 98255, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3195, 19691, F3, 5, 29) (dual of [(19691, 5), 98260, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3195, 19691, F3, 3, 29) (dual of [(19691, 3), 58878, 30]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3195, 59073, F3, 29) (dual of [59073, 58878, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(25) [i] based on
- linear OA(3191, 59049, F3, 29) (dual of [59049, 58858, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3171, 59049, F3, 26) (dual of [59049, 58878, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(28) ⊂ Ce(25) [i] based on
- OOA 3-folding [i] based on linear OA(3195, 59073, F3, 29) (dual of [59073, 58878, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3195, 19691, F3, 3, 29) (dual of [(19691, 3), 58878, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3195, 19691, F3, 5, 29) (dual of [(19691, 5), 98260, 30]-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.