Information on Result #1567384
Linear OOA(25638, 54891, F256, 3, 16) (dual of [(54891, 3), 164635, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25638, 54891, F256, 16) (dual of [54891, 54853, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(25638, 65559, F256, 16) (dual of [65559, 65521, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(7) [i] based on
- linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2567, 23, F256, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,256)), using
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), using
- Reed–Solomon code RS(249,256) [i]
- discarding factors / shortening the dual code based on linear OA(2567, 256, F256, 7) (dual of [256, 249, 8]-code or 256-arc in PG(6,256)), using
- construction X applied to Ce(15) ⊂ Ce(7) [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(25638, 27445, F256, 5, 16) (dual of [(27445, 5), 137187, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25638, 27445, F256, 6, 16) (dual of [(27445, 6), 164632, 17]-NRT-code) | [i] | ||