Information on Result #814473
Linear OOA(3203, 88608, F3, 2, 26) (dual of [(88608, 2), 177013, 27]-NRT-code), using OOA 2-folding based on linear OA(3203, 177216, F3, 26) (dual of [177216, 177013, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3203, 177217, F3, 26) (dual of [177217, 177014, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [i] based on
- linear OA(3188, 177147, F3, 26) (dual of [177147, 176959, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3133, 177147, F3, 19) (dual of [177147, 177014, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(25) ⊂ Ce(18) [i] based on
Mode: Constructive and 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(3203, 69649, F3, 3, 26) (dual of [(69649, 3), 208744, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3203, 69649, F3, 4, 26) (dual of [(69649, 4), 278393, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(3203, 69649, F3, 5, 26) (dual of [(69649, 5), 348042, 27]-NRT-code) | [i] | ||
| 4 | Digital (177, 203, 69649)-net over F3 | [i] | ||