Information on Result #700462
Linear OA(25668, 65565, F256, 30) (dual of [65565, 65497, 31]-code), using construction X applied to Ce(29) ⊂ Ce(19) based on
- linear OA(25659, 65536, F256, 30) (dual of [65536, 65477, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(2569, 29, F256, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,256)), using
- discarding factors / shortening the dual code based on linear OA(2569, 256, F256, 9) (dual of [256, 247, 10]-code or 256-arc in PG(8,256)), using
- Reed–Solomon code RS(247,256) [i]
- discarding factors / shortening the dual code based on linear OA(2569, 256, F256, 9) (dual of [256, 247, 10]-code or 256-arc in PG(8,256)), 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(12878, 65565, S128, 30) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(25668, 32782, F256, 2, 30) (dual of [(32782, 2), 65496, 31]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(25668, 21855, F256, 3, 30) (dual of [(21855, 3), 65497, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(25668, 16391, F256, 4, 30) (dual of [(16391, 4), 65496, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(25668, 13113, F256, 5, 30) (dual of [(13113, 5), 65497, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(25668, 4371, F256, 30, 30) (dual of [(4371, 30), 131062, 31]-NRT-code) | [i] | OA Folding and Stacking | |