Information on Result #690180
Linear OA(959, 736, F9, 22) (dual of [736, 677, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(958, 729, F9, 22) (dual of [729, 671, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(952, 729, F9, 20) (dual of [729, 677, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(959, 597, F9, 2, 22) (dual of [(597, 2), 1135, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(959, 597, F9, 3, 22) (dual of [(597, 3), 1732, 23]-NRT-code) | [i] | ||
| 3 | Digital (37, 59, 597)-net over F9 | [i] | ||