Information on Result #1465519
Linear OOA(25667, 53688, F256, 2, 28) (dual of [(53688, 2), 107309, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25667, 53688, F256, 28) (dual of [53688, 53621, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(25667, 65574, F256, 28) (dual of [65574, 65507, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(14) [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(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(25612, 38, F256, 12) (dual of [38, 26, 13]-code or 38-arc in PG(11,256)), using
- discarding factors / shortening the dual code based on linear OA(25612, 256, F256, 12) (dual of [256, 244, 13]-code or 256-arc in PG(11,256)), using
- Reed–Solomon code RS(244,256) [i]
- discarding factors / shortening the dual code based on linear OA(25612, 256, F256, 12) (dual of [256, 244, 13]-code or 256-arc in PG(11,256)), using
- construction X applied to Ce(27) ⊂ Ce(14) [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(25667, 26844, F256, 3, 28) (dual of [(26844, 3), 80465, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25667, 26844, F256, 4, 28) (dual of [(26844, 4), 107309, 29]-NRT-code) | [i] | ||