Information on Result #1770039
Digital (196, 225, 65212)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3225, 65212, F3, 2, 29) (dual of [(65212, 2), 130199, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3225, 88608, F3, 2, 29) (dual of [(88608, 2), 176991, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3225, 177216, F3, 29) (dual of [177216, 176991, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(3225, 177217, F3, 29) (dual of [177217, 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(315, 70, F3, 6) (dual of [70, 55, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- construction X applied to Ce(28) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3225, 177217, F3, 29) (dual of [177217, 176992, 30]-code), using
- OOA 2-folding [i] based on linear OA(3225, 177216, F3, 29) (dual of [177216, 176991, 30]-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.