Information on Result #2487030
Linear OOA(3201, 88602, F3, 2, 26) (dual of [(88602, 2), 177003, 27]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3199, 88601, F3, 2, 26) (dual of [(88601, 2), 177003, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3199, 177202, F3, 26) (dual of [177202, 177003, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [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(3144, 177147, F3, 20) (dual of [177147, 177003, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 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(25) ⊂ Ce(19) [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(3202, 88602, F3, 2, 26) (dual of [(88602, 2), 177002, 27]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3201, 63301, F3, 3, 26) (dual of [(63301, 3), 189702, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3201, 63301, F3, 4, 26) (dual of [(63301, 4), 253003, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(3201, 63301, F3, 5, 26) (dual of [(63301, 5), 316304, 27]-NRT-code) | [i] | ||
| 5 | Digital (175, 201, 63301)-net over F3 | [i] | ||