Information on Result #1094637
Linear OOA(374, 3188655, F3, 5, 6) (dual of [(3188655, 5), 15943201, 7]-NRT-code), using OOA stacking with additional row based on linear OOA(374, 3188656, F3, 3, 6) (dual of [(3188656, 3), 9565894, 7]-NRT-code), using
- trace code [i] based on linear OOA(937, 1594328, F9, 3, 6) (dual of [(1594328, 3), 4782947, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(937, 4782984, F9, 6) (dual of [4782984, 4782947, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(936, 4782969, F9, 6) (dual of [4782969, 4782933, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(922, 4782969, F9, 4) (dual of [4782969, 4782947, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 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
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- OOA 3-folding [i] based on linear OA(937, 4782984, F9, 6) (dual of [4782984, 4782947, 7]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3250, 6460698, F3, 5, 12) (dual of [(6460698, 5), 32303240, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(374, 3188655, F3, 6, 6) (dual of [(3188655, 6), 19131856, 7]-NRT-code) | [i] | Appending kth Column | |