Information on Result #1833641
OOA(12853, 33026, S128, 2, 19), using discarding parts of the base based on linear OOA(25646, 33026, F256, 2, 19) (dual of [(33026, 2), 66006, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2569, 257, F256, 2, 9) (dual of [(257, 2), 505, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;505,256) [i]
- linear OOA(25637, 32769, F256, 2, 19) (dual of [(32769, 2), 65501, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25637, 65538, F256, 19) (dual of [65538, 65501, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(25637, 65536, F256, 19) (dual of [65536, 65499, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- OOA 2-folding [i] based on linear OA(25637, 65538, F256, 19) (dual of [65538, 65501, 20]-code), using
- linear OOA(2569, 257, F256, 2, 9) (dual of [(257, 2), 505, 10]-NRT-code), using
Mode: Constructive.
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 | OOA(12853, 16513, S128, 4, 19) | [i] | OOA Folding | |