Information on Result #691742
Linear OA(16130, 65546, F16, 35) (dual of [65546, 65416, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,16]) based on
- linear OA(16129, 65537, F16, 35) (dual of [65537, 65408, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 168−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- 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(161, 9, F16, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 | Linear OOA(16130, 44679, F16, 2, 35) (dual of [(44679, 2), 89228, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (95, 130, 44679)-net over F16 | [i] | ||
| 3 | Linear OOA(16130, 32773, F16, 2, 35) (dual of [(32773, 2), 65416, 36]-NRT-code) | [i] | OOA Folding | |