Information on Result #984274
Linear OOA(924, 4377, F9, 3, 6) (dual of [(4377, 3), 13107, 7]-NRT-code), using OOA 3-folding based on linear OA(924, 13131, F9, 6) (dual of [13131, 13107, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(924, 13132, F9, 6) (dual of [13132, 13108, 7]-code), using
- trace code [i] based on linear OA(8112, 6566, F81, 6) (dual of [6566, 6554, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(8111, 6561, F81, 6) (dual of [6561, 6550, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(817, 6561, F81, 4) (dual of [6561, 6554, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- trace code [i] based on linear OA(8112, 6566, F81, 6) (dual of [6566, 6554, 7]-code), 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(9114, 5596779, F9, 3, 12) (dual of [(5596779, 3), 16790223, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(9122, 5596779, F9, 3, 13) (dual of [(5596779, 3), 16790215, 14]-NRT-code) | [i] | ||