Information on Result #691830
Linear OA(16112, 65554, F16, 29) (dual of [65554, 65442, 30]-code), using construction X applied to Ce(28) ⊂ Ce(24) based on
- linear OA(16109, 65536, F16, 29) (dual of [65536, 65427, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(163, 18, F16, 3) (dual of [18, 15, 4]-code or 18-arc in PG(2,16) or 18-cap in PG(2,16)), 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(8150, 65554, S8, 29) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(16112, 64937, F16, 2, 29) (dual of [(64937, 2), 129762, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (83, 112, 64937)-net over F16 | [i] | ||
| 4 | Linear OOA(16112, 32777, F16, 2, 29) (dual of [(32777, 2), 65442, 30]-NRT-code) | [i] | OOA Folding | |