Information on Result #689899
Linear OA(962, 737, F9, 23) (dual of [737, 675, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,10]) based on
- linear OA(961, 730, F9, 23) (dual of [730, 669, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- 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(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(962, 630, F9, 2, 23) (dual of [(630, 2), 1198, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(962, 630, F9, 3, 23) (dual of [(630, 3), 1828, 24]-NRT-code) | [i] | ||
| 3 | Digital (39, 62, 630)-net over F9 | [i] | ||