Information on Result #1107186
Linear OOA(2567, 32769, F256, 5, 4) (dual of [(32769, 5), 163838, 5]-NRT-code), using appending 1 arbitrary column based on linear OOA(2567, 32769, F256, 4, 4) (dual of [(32769, 4), 131069, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(2567, 65538, F256, 4) (dual of [65538, 65531, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(2567, 65536, F256, 4) (dual of [65536, 65529, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(2565, 65536, F256, 3) (dual of [65536, 65531, 4]-code or 65536-cap in PG(4,256)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(2) [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(25629, 2129919, F256, 5, 8) (dual of [(2129919, 5), 10649566, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25632, 2129919, F256, 5, 9) (dual of [(2129919, 5), 10649563, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(25666, 3388209, F256, 5, 14) (dual of [(3388209, 5), 16940979, 15]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(25660, 3388209, F256, 5, 13) (dual of [(3388209, 5), 16940985, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(25657, 3388209, F256, 5, 12) (dual of [(3388209, 5), 16940988, 13]-NRT-code) | [i] | ||