Information on Result #691793
Linear OA(16102, 65545, F16, 27) (dual of [65545, 65443, 28]-code), using construction X applied to Ce(26) ⊂ Ce(24) based on
- linear OA(16101, 65536, F16, 27) (dual of [65536, 65435, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(1693, 65536, F16, 25) (dual of [65536, 65443, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(161, 9, F16, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-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 | OA(8136, 65545, S8, 27) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(16102, 49667, F16, 2, 27) (dual of [(49667, 2), 99232, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (75, 102, 49667)-net over F16 | [i] | ||
| 4 | Linear OOA(16102, 32772, F16, 2, 27) (dual of [(32772, 2), 65442, 28]-NRT-code) | [i] | OOA Folding | |