Information on Result #691828
Linear OA(16116, 65554, F16, 30) (dual of [65554, 65438, 31]-code), using construction X applied to Ce(29) ⊂ Ce(25) based on
- linear OA(16113, 65536, F16, 30) (dual of [65536, 65423, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(1697, 65536, F16, 26) (dual of [65536, 65439, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(8155, 65554, S8, 30) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(16116, 65554, F16, 2, 30) (dual of [(65554, 2), 130992, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (86, 116, 65554)-net over F16 | [i] | ||
| 4 | Linear OOA(16116, 32777, F16, 2, 30) (dual of [(32777, 2), 65438, 31]-NRT-code) | [i] | OOA Folding | |