Information on Result #2283582
Linear OA(956, 531448, F9, 11) (dual of [531448, 531392, 12]-code), using 1 times code embedding in larger space based on linear OA(955, 531447, F9, 11) (dual of [531447, 531392, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(955, 531441, F9, 11) (dual of [531441, 531386, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(949, 531441, F9, 10) (dual of [531441, 531392, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(90, 6, F9, 0) (dual of [6, 6, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(956, 351672, F9, 2, 11) (dual of [(351672, 2), 703288, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(956, 351672, F9, 3, 11) (dual of [(351672, 3), 1054960, 12]-NRT-code) | [i] | ||
| 3 | Digital (45, 56, 351672)-net over F9 | [i] | ||
| 4 | Linear OOA(956, 265724, F9, 2, 11) (dual of [(265724, 2), 531392, 12]-NRT-code) | [i] | OOA Folding | |