Information on Result #700359
Linear OA(25645, 65544, F256, 22) (dual of [65544, 65499, 23]-code), using construction X applied to Ce(21) ⊂ Ce(18) based on
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(25637, 65536, F256, 19) (dual of [65536, 65499, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2562, 8, F256, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), 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 | Linear OA(1690, 131088, F16, 22) (dual of [131088, 130998, 23]-code) | [i] | Trace Code | |
| 2 | OA(3272, 65544, S32, 22) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6460, 65544, S64, 22) | [i] | ||
| 4 | OA(12852, 65544, S128, 22) | [i] | ||
| 5 | Linear OA(25657, 65804, F256, 22) (dual of [65804, 65747, 23]-code) | [i] | (u, u+v)-Construction | |
| 6 | Linear OA(25658, 65806, F256, 22) (dual of [65806, 65748, 23]-code) | [i] | ||
| 7 | Linear OOA(25645, 32772, F256, 2, 22) (dual of [(32772, 2), 65499, 23]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(25645, 21848, F256, 3, 22) (dual of [(21848, 3), 65499, 23]-NRT-code) | [i] | ||
| 9 | Linear OOA(25645, 16386, F256, 4, 22) (dual of [(16386, 4), 65499, 23]-NRT-code) | [i] | ||
| 10 | Linear OOA(25645, 10924, F256, 6, 22) (dual of [(10924, 6), 65499, 23]-NRT-code) | [i] | ||