Information on Result #1303611
Linear OA(1613, 130562, F16, 4) (dual of [130562, 130549, 5]-code), using construction X with Varšamov bound based on
- linear OA(1612, 130560, F16, 4) (dual of [130560, 130548, 5]-code), using
- trace code [i] based on linear OA(2566, 65280, F256, 4) (dual of [65280, 65274, 5]-code), using
- 1 times truncation [i] based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
- trace code [i] based on linear OA(2566, 65280, F256, 4) (dual of [65280, 65274, 5]-code), using
- linear OA(1612, 130561, F16, 3) (dual of [130561, 130549, 4]-code or 130561-cap in PG(11,16)), using Gilbert–Varšamov bound and bm = 1612 > Vbs−1(k−1) = 1 917652 550401 [i]
- linear OA(160, 1, F16, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: 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(1613, 130562, F16, 2, 4) (dual of [(130562, 2), 261111, 5]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (9, 13, 130562)-net over F16 | [i] | ||
| 3 | Linear OOA(1613, 65281, F16, 2, 4) (dual of [(65281, 2), 130549, 5]-NRT-code) | [i] | OOA Folding | |