Information on Result #1716068
Digital (198, 227, 23654)-net over F3, using net defined by OOA based on linear OOA(3227, 23654, F3, 35, 29) (dual of [(23654, 35), 827663, 30]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3227, 70963, F3, 5, 29) (dual of [(70963, 5), 354588, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3227, 70965, F3, 5, 29) (dual of [(70965, 5), 354598, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3227, 70965, F3, 2, 29) (dual of [(70965, 2), 141703, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3227, 88609, F3, 2, 29) (dual of [(88609, 2), 176991, 30]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3226, 88609, F3, 2, 29) (dual of [(88609, 2), 176992, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3226, 177218, F3, 29) (dual of [177218, 176992, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- linear OA(3210, 177147, F3, 29) (dual of [177147, 176937, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(316, 71, F3, 6) (dual of [71, 55, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 80, F3, 6) (dual of [80, 64, 7]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(316, 80, F3, 6) (dual of [80, 64, 7]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(3226, 177218, F3, 29) (dual of [177218, 176992, 30]-code), using
- 31 times duplication [i] based on linear OOA(3226, 88609, F3, 2, 29) (dual of [(88609, 2), 176992, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3227, 88609, F3, 2, 29) (dual of [(88609, 2), 176991, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3227, 70965, F3, 2, 29) (dual of [(70965, 2), 141703, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3227, 70965, F3, 5, 29) (dual of [(70965, 5), 354598, 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.