Information on Result #2283659
Linear OA(953, 59061, F9, 12) (dual of [59061, 59008, 13]-code), using 1 times code embedding in larger space based on linear OA(952, 59060, F9, 12) (dual of [59060, 59008, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(951, 59049, F9, 12) (dual of [59049, 58998, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(941, 59049, F9, 10) (dual of [59049, 59008, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 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(953, 51868, F9, 2, 12) (dual of [(51868, 2), 103683, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(953, 51868, F9, 3, 12) (dual of [(51868, 3), 155551, 13]-NRT-code) | [i] | ||
| 3 | Digital (41, 53, 51868)-net over F9 | [i] | ||
| 4 | Linear OOA(953, 19687, F9, 3, 12) (dual of [(19687, 3), 59008, 13]-NRT-code) | [i] | OOA Folding | |