Information on Result #856444
Linear OOA(1658, 65538, F16, 2, 15) (dual of [(65538, 2), 131018, 16]-NRT-code), using OOA 2-folding based on linear OA(1658, 131076, F16, 15) (dual of [131076, 131018, 16]-code), using
- trace code [i] 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
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
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(1659, 65538, F16, 2, 15) (dual of [(65538, 2), 131017, 16]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(1665, 65555, F16, 2, 15) (dual of [(65555, 2), 131045, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(1666, 65562, F16, 2, 15) (dual of [(65562, 2), 131058, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(1667, 65571, F16, 2, 15) (dual of [(65571, 2), 131075, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(1668, 65576, F16, 2, 15) (dual of [(65576, 2), 131084, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(1669, 65583, F16, 2, 15) (dual of [(65583, 2), 131097, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(1670, 65588, F16, 2, 15) (dual of [(65588, 2), 131106, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(1670, 65589, F16, 2, 15) (dual of [(65589, 2), 131108, 16]-NRT-code) | [i] | ||