Information on Result #691745
Linear OA(16126, 65554, F16, 33) (dual of [65554, 65428, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,13]) based on
- linear OA(16121, 65537, F16, 33) (dual of [65537, 65416, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 168−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(16105, 65537, F16, 27) (dual of [65537, 65432, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 168−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(165, 17, F16, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,16)), using
- extended Reed–Solomon code RSe(12,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [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 | Linear OOA(16126, 59312, F16, 2, 33) (dual of [(59312, 2), 118498, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (93, 126, 59312)-net over F16 | [i] | ||