Information on Result #1715904
Digital (188, 216, 20580)-net over F3, using net defined by OOA based on linear OOA(3216, 20580, F3, 35, 28) (dual of [(20580, 35), 720084, 29]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3216, 61741, F3, 5, 28) (dual of [(61741, 5), 308489, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3216, 61743, F3, 5, 28) (dual of [(61743, 5), 308499, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3216, 61743, F3, 2, 28) (dual of [(61743, 2), 123270, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3216, 88609, F3, 2, 28) (dual of [(88609, 2), 177002, 29]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3215, 88609, F3, 2, 28) (dual of [(88609, 2), 177003, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3215, 177218, F3, 28) (dual of [177218, 177003, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- linear OA(3199, 177147, F3, 28) (dual of [177147, 176948, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3144, 177147, F3, 20) (dual of [177147, 177003, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(316, 71, F3, 7) (dual of [71, 55, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(3215, 177218, F3, 28) (dual of [177218, 177003, 29]-code), using
- 31 times duplication [i] based on linear OOA(3215, 88609, F3, 2, 28) (dual of [(88609, 2), 177003, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3216, 88609, F3, 2, 28) (dual of [(88609, 2), 177002, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3216, 61743, F3, 2, 28) (dual of [(61743, 2), 123270, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3216, 61743, F3, 5, 28) (dual of [(61743, 5), 308499, 29]-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.