Information on Result #1607977
Linear OOA(3192, 177166, F3, 4, 23) (dual of [(177166, 4), 708472, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3192, 177166, F3, 3, 23) (dual of [(177166, 3), 531306, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3192, 531498, F3, 23) (dual of [531498, 531306, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3192, 531500, F3, 23) (dual of [531500, 531308, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- linear OA(3181, 531441, F3, 23) (dual of [531441, 531260, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3133, 531441, F3, 17) (dual of [531441, 531308, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(311, 59, F3, 5) (dual of [59, 48, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(22) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(3192, 531500, F3, 23) (dual of [531500, 531308, 24]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3192, 59055, F3, 28, 23) (dual of [(59055, 28), 1653348, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |