Information on Result #700269
Linear OA(25634, 65554, F256, 15) (dual of [65554, 65520, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,4]) based on
- linear OA(25629, 65537, F256, 15) (dual of [65537, 65508, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(25617, 65537, F256, 9) (dual of [65537, 65520, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(2565, 17, F256, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,256)), using
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- Reed–Solomon code RS(251,256) [i]
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), 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(12839, 65554, S128, 15) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(25634, 32777, F256, 2, 15) (dual of [(32777, 2), 65520, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(25634, 21851, F256, 3, 15) (dual of [(21851, 3), 65519, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(25634, 16388, F256, 4, 15) (dual of [(16388, 4), 65518, 16]-NRT-code) | [i] | ||