Information on Result #1567668
Linear OOA(25661, 40300, F256, 3, 26) (dual of [(40300, 3), 120839, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25661, 40300, F256, 26) (dual of [40300, 40239, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(25661, 65568, F256, 26) (dual of [65568, 65507, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(14) [i] based on
- linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(25610, 32, F256, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,256)), using
- discarding factors / shortening the dual code based on linear OA(25610, 256, F256, 10) (dual of [256, 246, 11]-code or 256-arc in PG(9,256)), using
- Reed–Solomon code RS(246,256) [i]
- discarding factors / shortening the dual code based on linear OA(25610, 256, F256, 10) (dual of [256, 246, 11]-code or 256-arc in PG(9,256)), using
- construction X applied to Ce(25) ⊂ 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(25661, 20150, F256, 5, 26) (dual of [(20150, 5), 100689, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25661, 20150, F256, 6, 26) (dual of [(20150, 6), 120839, 27]-NRT-code) | [i] | ||