Information on Result #676387
Linear OA(338, 744, F3, 9) (dual of [744, 706, 10]-code), using construction X4 applied to C([0,4]) ⊂ C([0,3]) based on
- linear OA(337, 730, F3, 9) (dual of [730, 693, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(325, 730, F3, 7) (dual of [730, 705, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(313, 14, F3, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,3)), using
- dual of repetition code with length 14 [i]
- linear OA(31, 14, F3, 1) (dual of [14, 13, 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 OOA(338, 372, F3, 2, 9) (dual of [(372, 2), 706, 10]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(338, 248, F3, 3, 9) (dual of [(248, 3), 706, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(338, 186, F3, 4, 9) (dual of [(186, 4), 706, 10]-NRT-code) | [i] | ||