Information on Result #691825
Linear OA(16124, 65554, F16, 32) (dual of [65554, 65430, 33]-code), using construction X applied to Ce(32) ⊂ Ce(27) based on
- linear OA(16121, 65536, F16, 33) (dual of [65536, 65415, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(16105, 65536, F16, 28) (dual of [65536, 65431, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(8166, 65554, S8, 32) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(16124, 65554, F16, 2, 32) (dual of [(65554, 2), 130984, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (92, 124, 65554)-net over F16 | [i] | ||
| 4 | Linear OOA(16124, 32777, F16, 2, 32) (dual of [(32777, 2), 65430, 33]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(16124, 4097, F16, 32, 32) (dual of [(4097, 32), 130980, 33]-NRT-code) | [i] | OA Folding and Stacking | |