Information on Result #691831
Linear OA(16113, 65556, F16, 29) (dual of [65556, 65443, 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(164, 20, F16, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,16)), 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 | Linear OOA(16113, 65556, F16, 2, 29) (dual of [(65556, 2), 130999, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (84, 113, 65556)-net over F16 | [i] | ||
| 3 | Linear OOA(16113, 32778, F16, 2, 29) (dual of [(32778, 2), 65443, 30]-NRT-code) | [i] | OOA Folding | |