Information on Result #677120
Linear OA(366, 259, F3, 19) (dual of [259, 193, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,7]) based on
- linear OA(361, 244, F3, 19) (dual of [244, 183, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(351, 244, F3, 15) (dual of [244, 193, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(35, 15, F3, 3) (dual of [15, 10, 4]-code or 15-cap in PG(4,3)), 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(366, 226, F3, 2, 19) (dual of [(226, 2), 386, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(366, 226, F3, 3, 19) (dual of [(226, 3), 612, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(366, 226, F3, 4, 19) (dual of [(226, 4), 838, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(366, 226, F3, 5, 19) (dual of [(226, 5), 1064, 20]-NRT-code) | [i] | ||
| 5 | Digital (47, 66, 226)-net over F3 | [i] | ||