Information on Result #1567480
Linear OOA(25647, 42257, F256, 3, 20) (dual of [(42257, 3), 126724, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25647, 42257, F256, 20) (dual of [42257, 42210, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(25647, 65562, F256, 20) (dual of [65562, 65515, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(10) [i] 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(25621, 65536, F256, 11) (dual of [65536, 65515, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2568, 26, F256, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,256)), using
- discarding factors / shortening the dual code based on linear OA(2568, 256, F256, 8) (dual of [256, 248, 9]-code or 256-arc in PG(7,256)), using
- Reed–Solomon code RS(248,256) [i]
- discarding factors / shortening the dual code based on linear OA(2568, 256, F256, 8) (dual of [256, 248, 9]-code or 256-arc in PG(7,256)), using
- construction X applied to Ce(19) ⊂ Ce(10) [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(25647, 21128, F256, 5, 20) (dual of [(21128, 5), 105593, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25647, 21128, F256, 6, 20) (dual of [(21128, 6), 126721, 21]-NRT-code) | [i] | ||