Information on Result #1567220
Linear OOA(25611, 32769, F256, 3, 6) (dual of [(32769, 3), 98296, 7]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25611, 32769, F256, 2, 6) (dual of [(32769, 2), 65527, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25611, 65538, F256, 6) (dual of [65538, 65527, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(25611, 65536, F256, 6) (dual of [65536, 65525, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2569, 65536, F256, 5) (dual of [65536, 65527, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(5) ⊂ Ce(4) [i] based on
Mode: 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 | OOA(6415, 32769, S64, 3, 6) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | OOA(12813, 32769, S128, 3, 6) | [i] | ||
| 3 | Linear OOA(25611, 32768, F256, 4, 6) (dual of [(32768, 4), 131061, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 4 | Linear OOA(25611, 32768, F256, 5, 6) (dual of [(32768, 5), 163829, 7]-NRT-code) | [i] | ||
| 5 | Linear OOA(25611, 32768, F256, 6, 6) (dual of [(32768, 6), 196597, 7]-NRT-code) | [i] | ||