Information on Result #880219
Linear OOA(25647, 32778, F256, 2, 21) (dual of [(32778, 2), 65509, 22]-NRT-code), using OOA 2-folding based on linear OA(25647, 65556, F256, 21) (dual of [65556, 65509, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(13) [i] based on
- linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2566, 20, F256, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,256)), using
- discarding factors / shortening the dual code based on linear OA(2566, 256, F256, 6) (dual of [256, 250, 7]-code or 256-arc in PG(5,256)), using
- Reed–Solomon code RS(250,256) [i]
- discarding factors / shortening the dual code based on linear OA(2566, 256, F256, 6) (dual of [256, 250, 7]-code or 256-arc in PG(5,256)), using
Mode: Constructive and 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(25647, 31051, F256, 3, 21) (dual of [(31051, 3), 93106, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25647, 31051, F256, 4, 21) (dual of [(31051, 4), 124157, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(25647, 31051, F256, 5, 21) (dual of [(31051, 5), 155208, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(25647, 31051, F256, 6, 21) (dual of [(31051, 6), 186259, 22]-NRT-code) | [i] | ||
| 5 | Digital (26, 47, 31051)-net over F256 | [i] | ||