Information on Result #1716758
Digital (189, 224, 2749)-net over F3, using net defined by OOA based on linear OOA(3224, 2749, F3, 45, 35) (dual of [(2749, 45), 123481, 36]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(3224, 10997, F3, 5, 35) (dual of [(10997, 5), 54761, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3224, 10997, F3, 35) (dual of [10997, 10773, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(3224, 19744, F3, 35) (dual of [19744, 19520, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(27) [i] based on
- linear OA(3208, 19683, F3, 35) (dual of [19683, 19475, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3163, 19683, F3, 28) (dual of [19683, 19520, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(316, 61, F3, 6) (dual of [61, 45, 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(34) ⊂ Ce(27) [i] based on
- discarding factors / shortening the dual code based on linear OA(3224, 19744, F3, 35) (dual of [19744, 19520, 36]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3224, 10997, F3, 35) (dual of [10997, 10773, 36]-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.