Information on Result #674655
Linear OA(368, 177172, F3, 9) (dual of [177172, 177104, 10]-code), using construction X4 applied to C([0,4]) ⊂ C([0,3]) based on
- linear OA(367, 177148, F3, 9) (dual of [177148, 177081, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(345, 177148, F3, 7) (dual of [177148, 177103, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(323, 24, F3, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,3)), using
- dual of repetition code with length 24 [i]
- linear OA(31, 24, F3, 1) (dual of [24, 23, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(369, 177173, F3, 9) (dual of [177173, 177104, 10]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(370, 177174, F3, 9) (dual of [177174, 177104, 10]-code) | [i] | ||
| 3 | Linear OA(371, 177175, F3, 9) (dual of [177175, 177104, 10]-code) | [i] | ||
| 4 | Linear OA(370, 177175, F3, 9) (dual of [177175, 177105, 10]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OA(371, 177177, F3, 9) (dual of [177177, 177106, 10]-code) | [i] | ||
| 6 | Linear OOA(368, 88586, F3, 2, 9) (dual of [(88586, 2), 177104, 10]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(368, 44293, F3, 4, 9) (dual of [(44293, 4), 177104, 10]-NRT-code) | [i] | ||