Information on Result #690183
Linear OA(947, 736, F9, 17) (dual of [736, 689, 18]-code), using construction X applied to Ce(16) ⊂ Ce(14) based on
- linear OA(946, 729, F9, 17) (dual of [729, 683, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(940, 729, F9, 15) (dual of [729, 689, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(947, 670, F9, 2, 17) (dual of [(670, 2), 1293, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(947, 670, F9, 3, 17) (dual of [(670, 3), 1963, 18]-NRT-code) | [i] | ||
| 3 | Digital (30, 47, 670)-net over F9 | [i] | ||