Information on Result #691496
Linear OA(914, 43, F9, 8) (dual of [43, 29, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(914, 41, F9, 8) (dual of [41, 27, 9]-code), using an extension Ce(7) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(912, 41, F9, 7) (dual of [41, 29, 8]-code), using an extension Ce(6) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(914, 42, F9, 2, 8) (dual of [(42, 2), 70, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(914, 42, F9, 3, 8) (dual of [(42, 3), 112, 9]-NRT-code) | [i] | ||
| 3 | Digital (6, 14, 42)-net over F9 | [i] | ||