Information on Result #1567740
Linear OOA(25666, 43374, F256, 3, 28) (dual of [(43374, 3), 130056, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25666, 43374, F256, 28) (dual of [43374, 43308, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(25666, 65571, F256, 28) (dual of [65571, 65505, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(15) [i] based on
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(25611, 35, F256, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,256)), using
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), using
- Reed–Solomon code RS(245,256) [i]
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), using
- construction X applied to Ce(27) ⊂ Ce(15) [i] based on
Mode: 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 OOA(25666, 21687, F256, 5, 28) (dual of [(21687, 5), 108369, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25666, 21687, F256, 6, 28) (dual of [(21687, 6), 130056, 29]-NRT-code) | [i] | ||