Information on Result #700418
Linear OA(25644, 65553, F256, 20) (dual of [65553, 65509, 21]-code), using construction X applied to Ce(19) ⊂ Ce(13) based on
- linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(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 | Linear OA(1688, 131106, F16, 20) (dual of [131106, 131018, 21]-code) | [i] | Trace Code | |
| 2 | OA(12851, 65553, S128, 20) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(25644, 32776, F256, 2, 20) (dual of [(32776, 2), 65508, 21]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(25644, 21851, F256, 3, 20) (dual of [(21851, 3), 65509, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(25644, 16388, F256, 4, 20) (dual of [(16388, 4), 65508, 21]-NRT-code) | [i] | ||