Information on Result #676373
Linear OA(386, 743, F3, 21) (dual of [743, 657, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,9]) based on
- linear OA(385, 730, F3, 21) (dual of [730, 645, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(373, 730, F3, 19) (dual of [730, 657, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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(386, 524, F3, 2, 21) (dual of [(524, 2), 962, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(386, 524, F3, 3, 21) (dual of [(524, 3), 1486, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(386, 524, F3, 4, 21) (dual of [(524, 4), 2010, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(386, 524, F3, 5, 21) (dual of [(524, 5), 2534, 22]-NRT-code) | [i] | ||
| 5 | Digital (65, 86, 524)-net over F3 | [i] | ||
| 6 | Linear OOA(386, 371, F3, 2, 21) (dual of [(371, 2), 656, 22]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(386, 247, F3, 3, 21) (dual of [(247, 3), 655, 22]-NRT-code) | [i] | ||