Information on Result #905932
Linear OOA(25668, 33032, F256, 2, 26) (dual of [(33032, 2), 65996, 27]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25613, 257, F256, 2, 13) (dual of [(257, 2), 501, 14]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;501,256) [i]
- linear OOA(25655, 32775, F256, 2, 26) (dual of [(32775, 2), 65495, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25655, 65550, F256, 26) (dual of [65550, 65495, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(20) [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(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(2564, 14, F256, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,256)), using
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- Reed–Solomon code RS(252,256) [i]
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- construction X applied to Ce(25) ⊂ Ce(20) [i] based on
- OOA 2-folding [i] based on linear OA(25655, 65550, F256, 26) (dual of [65550, 65495, 27]-code), 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(25668, 16516, F256, 4, 26) (dual of [(16516, 4), 65996, 27]-NRT-code) | [i] | OOA Folding | |