Information on Result #1138064
Linear OOA(25637, 10923, F256, 6, 19) (dual of [(10923, 6), 65501, 20]-NRT-code), using OOA 6-folding 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
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(25638, 10923, F256, 6, 19) (dual of [(10923, 6), 65500, 20]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(25646, 11180, F256, 6, 19) (dual of [(11180, 6), 67034, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(25647, 11181, F256, 6, 19) (dual of [(11181, 6), 67039, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(25648, 11182, F256, 6, 19) (dual of [(11182, 6), 67044, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(25649, 11183, F256, 6, 19) (dual of [(11183, 6), 67049, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(25650, 11437, F256, 6, 19) (dual of [(11437, 6), 68572, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(25651, 11438, F256, 6, 19) (dual of [(11438, 6), 68577, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(25652, 11439, F256, 6, 19) (dual of [(11439, 6), 68582, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(25653, 11693, F256, 6, 19) (dual of [(11693, 6), 70105, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(25653, 11694, F256, 6, 19) (dual of [(11694, 6), 70111, 20]-NRT-code) | [i] | ||