Information on Result #689900
Linear OA(956, 737, F9, 21) (dual of [737, 681, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,9]) based on
- linear OA(955, 730, F9, 21) (dual of [730, 675, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(949, 730, F9, 19) (dual of [730, 681, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 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(956, 563, F9, 2, 21) (dual of [(563, 2), 1070, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(956, 563, F9, 3, 21) (dual of [(563, 3), 1633, 22]-NRT-code) | [i] | ||
| 3 | Digital (35, 56, 563)-net over F9 | [i] | ||
| 4 | Linear OOA(956, 368, F9, 2, 21) (dual of [(368, 2), 680, 22]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(956, 245, F9, 3, 21) (dual of [(245, 3), 679, 22]-NRT-code) | [i] | ||