Information on Result #691843
Linear OA(1689, 65556, F16, 23) (dual of [65556, 65467, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
- linear OA(1685, 65536, F16, 23) (dual of [65536, 65451, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(1669, 65536, F16, 19) (dual of [65536, 65467, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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 | OA(8119, 65556, S8, 23) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(1689, 64293, F16, 2, 23) (dual of [(64293, 2), 128497, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (66, 89, 64293)-net over F16 | [i] | ||
| 4 | Linear OOA(1689, 32778, F16, 2, 23) (dual of [(32778, 2), 65467, 24]-NRT-code) | [i] | OOA Folding | |