Information on Result #1050987
Linear OOA(25611, 21846, F256, 4, 6) (dual of [(21846, 4), 87373, 7]-NRT-code), using OA 3-folding and stacking 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
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(25645, 2118996, F256, 4, 12) (dual of [(2118996, 4), 8475939, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25648, 2118996, F256, 4, 13) (dual of [(2118996, 4), 8475936, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(25665, 4260096, F256, 4, 13) (dual of [(4260096, 4), 17040319, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(25666, 4260352, F256, 4, 13) (dual of [(4260352, 4), 17041342, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(25668, 4325888, F256, 4, 13) (dual of [(4325888, 4), 17303484, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(25662, 4260096, F256, 4, 12) (dual of [(4260096, 4), 17040322, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(25663, 4260352, F256, 4, 12) (dual of [(4260352, 4), 17041345, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(25665, 4325888, F256, 4, 12) (dual of [(4325888, 4), 17303487, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(25667, 7667880, F256, 4, 12) (dual of [(7667880, 4), 30671453, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(25621, 5592576, F256, 4, 6) (dual of [(5592576, 4), 22370283, 7]-NRT-code) | [i] | ||