Information on Result #675351
Linear OA(350, 6579, F3, 9) (dual of [6579, 6529, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,3]) based on
- linear OA(349, 6562, F3, 9) (dual of [6562, 6513, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(333, 6562, F3, 7) (dual of [6562, 6529, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(31, 17, F3, 1) (dual of [17, 16, 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(350, 3690, F3, 2, 9) (dual of [(3690, 2), 7330, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(350, 3690, F3, 3, 9) (dual of [(3690, 3), 11020, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(350, 3690, F3, 4, 9) (dual of [(3690, 4), 14710, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(350, 3690, F3, 5, 9) (dual of [(3690, 5), 18400, 10]-NRT-code) | [i] | ||
| 5 | Digital (41, 50, 3690)-net over F3 | [i] | ||
| 6 | Linear OOA(350, 2193, F3, 3, 9) (dual of [(2193, 3), 6529, 10]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(350, 1644, F3, 5, 9) (dual of [(1644, 5), 8170, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 8 | Linear OOA(350, 1644, F3, 9, 9) (dual of [(1644, 9), 14746, 10]-NRT-code) | [i] | ||