Information on Result #677046
Linear OA(332, 737, F3, 8) (dual of [737, 705, 9]-code), using construction X4 applied to C([0,7]) ⊂ C([1,6]) based on
- linear OA(331, 728, F3, 8) (dual of [728, 697, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(324, 728, F3, 6) (dual of [728, 704, 7]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(38, 9, F3, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,3)), using
- dual of repetition code with length 9 [i]
- linear OA(31, 9, F3, 1) (dual of [9, 8, 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(332, 432, F3, 2, 8) (dual of [(432, 2), 832, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(332, 432, F3, 3, 8) (dual of [(432, 3), 1264, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(332, 432, F3, 4, 8) (dual of [(432, 4), 1696, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(332, 432, F3, 5, 8) (dual of [(432, 5), 2128, 9]-NRT-code) | [i] | ||
| 5 | Digital (24, 32, 432)-net over F3 | [i] | ||