Information on Result #1673029
Linear OOA(25655, 32781, F256, 6, 24) (dual of [(32781, 6), 196631, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25655, 32781, F256, 2, 24) (dual of [(32781, 2), 65507, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25655, 65562, F256, 24) (dual of [65562, 65507, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(14) [i] based on
- linear OA(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(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(23) ⊂ 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(25655, 16390, F256, 30, 24) (dual of [(16390, 30), 491645, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |