Information on Result #1137969
Linear OOA(25629, 10923, F256, 6, 15) (dual of [(10923, 6), 65509, 16]-NRT-code), using OOA 6-folding based on linear OA(25629, 65538, F256, 15) (dual of [65538, 65509, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- 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(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(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
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(25630, 10923, F256, 6, 15) (dual of [(10923, 6), 65508, 16]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(25636, 11180, F256, 6, 15) (dual of [(11180, 6), 67044, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(25637, 11181, F256, 6, 15) (dual of [(11181, 6), 67049, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(25638, 11182, F256, 6, 15) (dual of [(11182, 6), 67054, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(25639, 11437, F256, 6, 15) (dual of [(11437, 6), 68583, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(25640, 11438, F256, 6, 15) (dual of [(11438, 6), 68588, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(25641, 11693, F256, 6, 15) (dual of [(11693, 6), 70117, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(25641, 11694, F256, 6, 15) (dual of [(11694, 6), 70123, 16]-NRT-code) | [i] | ||