Information on Result #1567545
Linear OOA(25652, 45050, F256, 3, 22) (dual of [(45050, 3), 135098, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25652, 45050, F256, 22) (dual of [45050, 44998, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(25652, 65565, F256, 22) (dual of [65565, 65513, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(11) [i] 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(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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
- construction X applied to Ce(21) ⊂ Ce(11) [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(25652, 22525, F256, 5, 22) (dual of [(22525, 5), 112573, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25652, 22525, F256, 6, 22) (dual of [(22525, 6), 135098, 23]-NRT-code) | [i] | ||