Information on Result #731571
Linear OA(1654, 131076, F16, 14) (dual of [131076, 131022, 15]-code), using trace code based on linear OA(25627, 65538, F256, 14) (dual of [65538, 65511, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- 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(25625, 65536, F256, 13) (dual of [65536, 65511, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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 OA(1655, 131077, F16, 14) (dual of [131077, 131022, 15]-code) | [i] | Code Embedding in Larger Space | |
| 2 | OA(872, 131076, S8, 14) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(1663, 131109, F16, 14) (dual of [131109, 131046, 15]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(1664, 131114, F16, 14) (dual of [131114, 131050, 15]-code) | [i] | ||
| 5 | Linear OA(1665, 131127, F16, 14) (dual of [131127, 131062, 15]-code) | [i] | ||
| 6 | Linear OOA(1654, 65538, F16, 2, 14) (dual of [(65538, 2), 131022, 15]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(1654, 18725, F16, 14, 14) (dual of [(18725, 14), 262096, 15]-NRT-code) | [i] | OA Folding and Stacking | |