Information on Result #1611067
Linear OOA(3228, 74029, F3, 4, 29) (dual of [(74029, 4), 295888, 30]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3228, 74029, F3, 2, 29) (dual of [(74029, 2), 147830, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3228, 88610, F3, 2, 29) (dual of [(88610, 2), 176992, 30]-NRT-code), using
- 1 times NRT-code embedding in larger space [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
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3226, 88609, F3, 2, 29) (dual of [(88609, 2), 176992, 30]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.