Information on Result #700445
Linear OA(25650, 65559, F256, 22) (dual of [65559, 65509, 23]-code), using construction X applied to Ce(21) ⊂ Ce(13) 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(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2567, 23, F256, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,256)), using
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), using
- Reed–Solomon code RS(249,256) [i]
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), 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(16100, 131118, F16, 22) (dual of [131118, 131018, 23]-code) | [i] | Trace Code | |
| 2 | OA(12858, 65559, S128, 22) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(25650, 32779, F256, 2, 22) (dual of [(32779, 2), 65508, 23]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(25650, 21853, F256, 3, 22) (dual of [(21853, 3), 65509, 23]-NRT-code) | [i] | ||