Information on Result #700473
Linear OA(25657, 65568, F256, 24) (dual of [65568, 65511, 25]-code), using construction X applied to Ce(23) ⊂ Ce(12) based on
- linear OA(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(25625, 65536, F256, 13) (dual of [65536, 65511, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(25610, 32, F256, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,256)), using
- discarding factors / shortening the dual code based on linear OA(25610, 256, F256, 10) (dual of [256, 246, 11]-code or 256-arc in PG(9,256)), using
- Reed–Solomon code RS(246,256) [i]
- discarding factors / shortening the dual code based on linear OA(25610, 256, F256, 10) (dual of [256, 246, 11]-code or 256-arc in PG(9,256)), 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 | OA(12866, 65568, S128, 24) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(25657, 47895, F256, 2, 24) (dual of [(47895, 2), 95733, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(25657, 47895, F256, 3, 24) (dual of [(47895, 3), 143628, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(25657, 47895, F256, 4, 24) (dual of [(47895, 4), 191523, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(25657, 47895, F256, 5, 24) (dual of [(47895, 5), 239418, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(25657, 47895, F256, 6, 24) (dual of [(47895, 6), 287313, 25]-NRT-code) | [i] | ||
| 7 | Digital (33, 57, 47895)-net over F256 | [i] | ||
| 8 | Linear OOA(25657, 32784, F256, 2, 24) (dual of [(32784, 2), 65511, 25]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(25657, 21856, F256, 3, 24) (dual of [(21856, 3), 65511, 25]-NRT-code) | [i] | ||
| 10 | Linear OOA(25657, 16392, F256, 4, 24) (dual of [(16392, 4), 65511, 25]-NRT-code) | [i] | ||
| 11 | Linear OOA(25657, 10928, F256, 6, 24) (dual of [(10928, 6), 65511, 25]-NRT-code) | [i] | ||
| 12 | Linear OOA(25657, 5464, F256, 24, 24) (dual of [(5464, 24), 131079, 25]-NRT-code) | [i] | OA Folding and Stacking | |