Information on Result #984558
Linear OOA(975, 1594331, F9, 3, 12) (dual of [(1594331, 3), 4782918, 13]-NRT-code), using OOA 3-folding based on linear OA(975, 4782993, F9, 12) (dual of [4782993, 4782918, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(975, 4782994, F9, 12) (dual of [4782994, 4782919, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(94, 25, F9, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,9)), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
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(3150, 3188662, F3, 3, 12) (dual of [(3188662, 3), 9565836, 13]-NRT-code) | [i] | Trace Code for OOAs | |