Information on Result #691821
Linear OA(16129, 65553, F16, 34) (dual of [65553, 65424, 35]-code), using construction X applied to Ce(33) ⊂ Ce(28) based on
- linear OA(16125, 65536, F16, 34) (dual of [65536, 65411, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- 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(164, 17, F16, 4) (dual of [17, 13, 5]-code or 17-arc in PG(3,16)), using
- extended Reed–Solomon code RSe(13,16) [i]
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(8172, 65553, S8, 34) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(16129, 55865, F16, 2, 34) (dual of [(55865, 2), 111601, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (95, 129, 55865)-net over F16 | [i] | ||
| 4 | Linear OOA(16129, 32776, F16, 2, 34) (dual of [(32776, 2), 65423, 35]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(16129, 3856, F16, 34, 34) (dual of [(3856, 34), 130975, 35]-NRT-code) | [i] | OA Folding and Stacking | |