Information on Result #813093
Linear OOA(3106, 88593, F3, 2, 14) (dual of [(88593, 2), 177080, 15]-NRT-code), using OOA 2-folding based on linear OA(3106, 177186, F3, 14) (dual of [177186, 177080, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- linear OA(3100, 177147, F3, 14) (dual of [177147, 177047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(367, 177147, F3, 10) (dual of [177147, 177080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(36, 39, F3, 3) (dual of [39, 33, 4]-code or 39-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
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(3108, 88594, F3, 2, 14) (dual of [(88594, 2), 177080, 15]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3107, 88593, F3, 2, 14) (dual of [(88593, 2), 177079, 15]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3106, 79597, F3, 3, 14) (dual of [(79597, 3), 238685, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(3106, 79597, F3, 4, 14) (dual of [(79597, 4), 318282, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(3106, 79597, F3, 5, 14) (dual of [(79597, 5), 397879, 15]-NRT-code) | [i] | ||
| 6 | Digital (92, 106, 79597)-net over F3 | [i] | ||